CN1314200C - Excited wave form signal generating circuit - Google Patents

Abstract

The present invention discloses an impulsed wave form signal generating circuit. On the basis of the impulse response principle in the signal and linear system analysis theory, the present invention is only formed by three custom circuits of an integrator, an adder and a scalar multiplier, which are used independently or combined; when the present invention is connected with an impulse signal source of which the frequency, the cycle, the amplitude and the impulse width duty ratio are adjustable, which is composed of a pulse multivibrator circuit, signals with specific waveforms can be generated by using the system simulation method. The present invention can be independently used as a specific waveform, and can also be used as a circuit module in a combination mode. The present invention changes the traditional design philosophy that signals with different waveforms can only be formed by different circuits, is suitable for the electronic instrument industry, and provides a simple novel design proposal for integrally and serially manufacturing waveform signal generators.

Description

Excited wave form signal generating circuit

Technical field

The invention belongs to instrument field, be specifically related to a kind of Waveform signal generating circuit.

Background technology

Electrical measurement has crucial meaning as the laboratory facilities that people are familiar with objective things in the science and technology development process.But the characteristic of any measuring object only just can show under certain signal of telecommunication excitation.Therefore in order to reach the purpose of measurement, just must provide the suitable signal of telecommunication.

Sinusoidal signal is a kind of as the signal of telecommunication, and (waveform be not subject to the influence of linear system and to the additivity of linear system) makes it obtain to use extremely widely in test because the characteristics of itself, and this point is very familiar to.But in the actual measurement process, also need other various pumping signals.For example: the square wave of testing various circuit and the excessive characteristic of electromechanical equipment, the arteries and veins shape pulse of extensive use in communication system, the raised cosine window of in Digital Signal Processing, using, also have logic testing in digital circuit, mould the triangular wave, sawtooth waveforms, sinusoidal wave or the like that need in the performance test of A/D converter, voltage controlled oscillator and phase-locked loop.In addition, also will be applied to some other special shape signals in various science and technology field such as machinery, electroacoustic, the underwater sound and biologies, these distinctive signals can not produce with general signal generator.

The signal generator is to use instrument widely, existing signal generator roughly divides two classes: the first kind constitutes with pure hardware circuit, its output or be single waveform, as sine-wave generator, or be multiple waveform, as sine wave, square wave, a few unification form Waveform Generator that triangular wave etc. are formed.Though also useful large scale integrated circuit constitutes, the waveform quantity of combination seldom, many more several waveforms will be integrated in a just difficulty relatively, because different waveforms need go with different circuit to realize, and different circuit itself is very complicated; Second class is " AWG (Arbitrary Waveform Generator) " of utilizing digital frequency synthesizer, digital to analog converter to cooperate certain software to constitute by single-chip microcomputer (or computer), and its advantage is that conversion is strong, use flexibly, but price is more expensive.

From " Signal ﹠ Linear System " theory as can be known, signal often can be expressed as the function (or sequence) of time, and the image of this function is referred to as the waveform of signal.So waveform also can be regarded the physical phenomenon that physical quantity is launched as on time coordinate, such as curtage time-varying current or voltage waveform.These belong to the scope that generic function is described; Concentrate the physical phenomenon of any if investigate some physical quantity on space or time coordinate, the notion of generic function is just not enough, and need use the singular function notion, and wherein impulse function is exactly a Mathematical Modeling of describing this class phenomenon.Can come to realize from reverse thinking impulse function is launched at time coordinate, just can form certain waveform.

Summary of the invention

The purpose of this invention is to provide the simple excited wave form signal generating circuit of a kind of form of the composition.Total technical conceive of the present invention is: the conventional approach that changes " different waveforms will go with different circuit to produce ", according to the system's impulse response principle in the Signal ﹠ Linear System analysis theories, by integrator, independent or the mixing composition excited wave form signal generating circuit of three kinds of custom circuits of adder and scalar multiplication device, during use the input of this circuit can with a frequency, cycle, amplitude, the impulse signal source that all adjustable pulse multivibrator circuit of pulse duty cycle is formed connects, the method of utilization system simulation, just can produce specific waveform signal, constitute various excited wave form signal generating circuits, and then form the signal generating Instrument of corresponding function.The composition of excited wave form signal generating circuit carries out according to the following step: (1) carries out Laplace transformation with the function of required generation waveform, if this Laplace transformation expression formula has following form:

$H\left(S\right)=\frac{b_m{s}^m+b_{m-1}{s}^{m-1}+......+b_{1}s+b_0}{a_n{s}^n+a_{n-1}{s}^{n-1}+......+a_{1}s+a_0}(m<n)$

Then this excited wave form signal generating circuit can be by integrator, and three element circuits of adder and scalar multiplication device are directly formed alone or in combination.(2) if the Laplace transformation expression formula does not have above-mentioned expression-form, then the function with this waveform carries out the fourier series conversion.Promptly carry out shape as: $f\left(t\right)=\underset{n=1}{\overset{\&infin;}{\mathrm{\&Sigma;}}}(a_n\cos \mathrm{n\&omega;t}+b_n\sin \mathrm{n\&omega;t})$ Conversion, then this excited wave form signal generating circuit is by integrator, a of three element circuits combinations of adder and scalar multiplication device _nCos n ω t circuit module and b _nSin n ω t circuit module is formed.Wherein the value of n is decided by the distortion factor of waveform, usually n value 5-20.

Realize that a kind of technical scheme of the present invention is: corresponding with above-mentioned steps (1), this excited wave form signal generating circuit has an input that is connected with impulse signal source 1 when using, and independent or same adder, scalar multiplication device combine signal generating circuit by integrator, has the function that the output signal in impulse signal source 1 can be become needed a kind of specific waveforms, and export from output, can use separately, also can be used as circuit module and unite use.

When excited wave form signal generating circuit of the present invention was sine wave output signal f (t)=sin ω t in use, this circuit was made up of adder, the first scalar multiplication device, first integrator, second integral device; An input that input is this circuit of adder; The first scalar multiplication device is made up of first multiplier and power supply; An input of first multiplier is connected the plus earth of power supply with the negative pole of power supply; The output of first multiplier is connected with another input of adder, the output of adder is connected with the input of first integrator, the output of first integrator is connected with the input of second integral device, and the output of second integral device is connected with another input of first multiplier; The earth terminal of first integrator and second integral device connects together and ground connection; The output of second integral device is the output of this circuit; Like this, the output waveform of second integral device is exactly required sine wave.

When excited wave form signal generating circuit of the present invention was output cosine wave signal f (t)=cos ω t in use, this circuit was by adder, the first scalar multiplication device, first integrator, and the second integral device is formed; An input that input is this circuit of adder; The first scalar multiplication device is made up of first multiplier and power supply; Input of first multiplier is connected the plus earth of power supply with power cathode; The output of first multiplier is connected with another input of adder, the output of adder is connected with the input of first integrator, the output of first integrator is connected with the input of second integral device, and the output of second integral device is connected with another input of first multiplier; The earth terminal of first integrator and second integral device connects together and ground connection; The output of first integrator is the output of this circuit; Like this, the output waveform of first integrator is exactly required cosine wave.

When excited wave form signal generating circuit of the present invention is sine wave output deamplification f (t)=e in use ^-btDuring sin ω t, this circuit is made up of adder, the first scalar multiplication device, the second scalar multiplication device, first integrator, second integral device; An input that input is this circuit of adder; The first scalar multiplication utensil has first multiplier, the second scalar multiplication utensil has second multiplier, the shared power supply of first multiplier and second multiplier, an input of first multiplier is connected with power cathode, an input of second multiplier is connected positive source ground connection with power cathode; The output of first multiplier is connected with second input of adder, the output of second multiplier is connected with the 3rd input of adder, the output of adder is connected with the input of first integrator, the output one tunnel of first integrator is connected with the input of second integral device, another road is connected with another input of first multiplier, the output of second integral device is connected with another input of second multiplier, and the earth terminal of first integrator and second integral device connects together and ground connection; The output of second integral device is the output of this circuit; Like this, the waveform of second integral device output is exactly required sinusoidal decay waveform.

When excited wave form signal generating circuit of the present invention is output parabolic signal f (t)=α t in use ²During waveform, this circuit is made up of first integrator, second integral device, third integral device, the first scalar multiplication device; The input of first integrator is the input of this circuit; The first scalar multiplication device is made up of first multiplier and power supply; Input of first multiplier is connected the minus earth of power supply with the positive pole of power supply; First integrator, second integral device, the earth terminal of third integral device connect together and ground connection; The output of first integrator is connected with the input of second integral device, the output of second integral device is connected with the input of third integral device, the output of third integral device is connected with another input of first multiplier, and the output of first multiplier is the output of this circuit; Like this, the waveform of first multiplier output is exactly needed parabolic waveform.

When excited wave form signal generating circuit of the present invention was output hyperbolic sine signal f (t)=shat waveform in use, this circuit was made up of first integrator, second integral device; The input of first integrator is the input of this circuit; The earth terminal of first integrator and second integral device connects together and ground connection; The output of first integrator is connected with the input of second integral device, and the output of second integral device is the output of this circuit; Like this, the waveform of second integral device output is exactly required hyperbolic sine waveform.

When excited wave form signal generating circuit of the present invention was output hyperbolic cosine signal f (t)=chat waveform in use, this circuit was made up of adder, first integrator, second integral device; An input that input is this circuit of adder; The earth terminal of first integrator and second integral device connects together and ground connection; The output of second integral device is connected with another input of adder, the output of adder is connected with the input of first integrator, the output of first integrator is connected with second integral device input, and the output of second integral device is the output of this circuit; Like this, the waveform of second integral device output is exactly required hyperbolic cosine signal waveform.

When excited wave form signal generating circuit of the present invention was output frequency and the amplitude f (t) that can regulate=B sin ω t sine wave signal in use, this circuit was made up of adder, the first scalar multiplication device, the second scalar multiplication device, first integrator, second integral device; An input that input is this circuit of adder; The first scalar multiplication device is made up of first multiplier and first power supply, and an input of first multiplier is connected the plus earth of first power supply with the negative pole of first power supply; The second scalar multiplication device is made up of second multiplier and second source, and an input of second multiplier is connected the minus earth of second source with second source is anodal; The output of first multiplier is connected with another input of adder, the output of adder is connected with the input of first integrator, the earth terminal of first integrator and second integral device connects together and is connected with ground, the output of first integrator is connected with the input of second integral device, the output of second integral device is connected with another input of first multiplier, and the output of second integral device also is connected with another input of second multiplier; The output of second multiplier is the output of this circuit; Like this, the waveform of second multiplier output is exactly sinusoidal signal f (t)=B sin ω t waveform that required frequency and amplitude can be regulated.

When excited wave form signal generating circuit of the present invention was output frequency and the amplitude f (t) that can regulate=A cos ω t cosine wave signal in use, this circuit was made up of adder, the first scalar multiplication device, the second scalar multiplication device, first integrator, second integral device; An input that input is this circuit of adder; The first scalar multiplication device is made up of first multiplier and first power supply, and input of first multiplier is connected the plus earth of first power supply with first power cathode; The second scalar multiplication device is made up of second multiplier and second source, and an input of second multiplier is connected the minus earth of second source with the positive pole of second source; The output of first multiplier is connected with another input of adder, the output of adder is connected with the input of first integrator, the output of first integrator is connected with the input of second integral device, the output of second integral device is connected with another input of first multiplier, the earth terminal of first integrator and second integral device connects together and ground connection, the output of first integrator also is connected with another input of second multiplier, and the output of second multiplier is the output of this circuit; Like this, the waveform of second multiplier output is exactly cosine wave signal f (t)=A cos ω t waveform that required frequency and amplitude can be regulated.

Realize that another kind of technical scheme of the present invention is: corresponding with above-mentioned steps (2), this excited wave form signal generating circuit is by integrator, a that three element circuits of adder and scalar multiplication device constitute _nCos n ω t and b _nTwo kinds of circuit modules of sin n ω t are formed by stacking alone or in combination; The output in impulse signal source 1 with each just, the input of cosine signal circuit module is connected, each just, the earth terminal of cosine signal circuit module links together and ground connection, each just, the output of cosine signal circuit module is connected with the input of same adder 39, and the waveform of adder 39 outputs is exactly required waveform; Wherein adder 39 is input adder more than or many inputs adder that the multistage expansion of the adder by a plurality of three inputs is formed, a _nAnd b _nBe the component coefficient in the fourier series conversion expression formula, n is the item number that launches in the fourier series conversion expression formula, and n is a positive integer, and the value of n is decided by the simulation precision of waveform, usually value 5-20.

The trigonometrical number expression formula of square wave function is:

$f\left(t\right)=\frac{4}{\mathrm{\&pi;}}\underset{n=1}{\overset{\mathrm{<figure-callout\; id="1"\; label="n"\; filenames="C20041006460900212.png,C20041006460900221.png"\; state="\{\{state\}\}">n</figure-callout>}}{\mathrm{\&Sigma;}}}\frac{1}{2n-1}\sin (2n-1)\mathrm{\&omega;t}$

$=\frac{4}{\mathrm{\&pi;}}(\sin \mathrm{\&omega;t}+\frac{1}{3}\mathrm{<figure-callout\; id="3"\; label="sin"\; filenames="C20041006460900202.png,C20041006460900203.png"\; state="\{\{state\}\}">sin</figure-callout>}3\mathrm{\&omega;t}+\frac{1}{5}\sin 5\mathrm{\&omega;t}+\&CenterDot;\&CenterDot;\&CenterDot;+\frac{1}{2n-1}\sin (2n-1)\mathrm{\&omega;t})$

When excited wave form signal generating circuit of the present invention was the output square-wave signal in use, this circuit was by one group of sinusoidal signal circuit module b _nSin n ω t is formed by stacking, the output in impulse signal source 1 is connected with the input of each sinusoidal signal circuit module, the output of each sinusoidal signal circuit module is connected with each input of same adder 3, and the waveform of adder 3 outputs, it is exactly required square wave, wherein adder 3 is input adder more than or many inputs adder of being made up of by multistage expansion a plurality of three-input adders, and n is a positive integer, value 5-20.

The trigonometrical number expression formula of triangular wave function is:

$f\left(t\right)=A(\frac{1}{2}-\frac{4}{{\mathrm{\&pi;}}^2}\underset{n=1}{\overset{n}{\mathrm{\&Sigma;}}}\frac{1}{{(2n-1)}^2}\cos (2n-1)\mathrm{\&omega;t})$

$=A(\frac{1}{2}-\frac{4}{{\mathrm{\&pi;}}^2}(\cos \mathrm{\&omega;t}+\frac{1}{3^2}\mathrm{<figure-callout\; id="2"\; label="cos"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">cos</figure-callout>}2\mathrm{\&omega;t}+\frac{1}{5^2}\cos 5\mathrm{\&omega;t}+\&CenterDot;\&CenterDot;\&CenterDot;+\frac{1}{{(2n-1)}^2}\cos (2n-1)\mathrm{\&omega;t}))$

When excited wave form signal generating circuit of the present invention was the output triangular signal in use, this circuit was by one group of cosine signal circuit module a _nCos n ω t is formed by stacking, the output in impulse signal source 1 is connected with the input of each cosine signal circuit module, the output of each cosine signal circuit module is connected with each input of same adder 3, and the waveform of adder 3 outputs, it is exactly required triangular wave, wherein adder 3 is input adder more than or many inputs adder of being made up of by multistage expansion a plurality of three-input adders, and n is a positive integer, value 5-10.

The basic principle of excited wave form signal generating circuit of the present invention is described as follows: analogy need to produce following several signals: just, cosine signal, hyperbolic sine signal, hyperbolic cosine signal, parabolic signal, sinusoidal wave deamplification, square-wave signal, triangular signal.But will find that there is difference in they on production method as long as above-mentioned signal analyzed a little.Offset of sinusoidal signal y (t)=B sin ω t, its Laplace transformation is:

$Y\left(s\right)=\frac{\mathrm{B\&omega;}}{s^2+{\mathrm{\&omega;}}^2}=\frac{\mathrm{B\&omega;}{s}^{-2}}{1+{\mathrm{\&omega;}}^2{s}^{-2}}$

This shows that producing sinusoidal wave structure according to Mason can be finished by an adder, two scalar multiplication devices and two integrators, utilization EWB is easy to realize.EWB is based on software---" electronics workbench EWB " Electronics Workbench of powerful, a cheap electronic circuit design of Simulation and debugging use.But the generation of the square-wave signal in the above-mentioned signal is just so not simple.As long as the expression formula of its Laplace transformation that we simply derive will be realized this point.According to this situation, the signal that we will produce is divided into A, B two classes, their each have their own production methods.

The basic principle that the category-A signal produces.This class signal comprises sine, cosine wave signal, hyperbolic sine signal, hyperbolic cosine signal, parabolic signal, sinusoidal wave deamplification etc., and they have a common characteristic is exactly that the Laplace transformation expression formula all has:

$H\left(S\right)=\frac{b_m{s}^m+b_{m-1}{s}^{m-1}+......+b_{1}s+b_0}{a_n{s}^n+a_{n-1}{s}^{n-1}+......+a_{1}s+a_0}(m<n)$

Form.The basic structure that we provide simulation as shown in figure 14, everybody is fully aware of at a glance.Therefore, only need an impulse signal source δ here _T(t) and an excited wave form signal generating circuit h (t), just constitute by adder, scalar multiplication device and integrator and can finish forming of category-A signal generating circuit.

The basic principle that the category-B signal produces.Point out the front, the signal of this class of picture square wave is because the existence of the time-delay factor in the Laplace transformation, make them simply not produce by desired integrator, scalar multiplication device and adder, how does this solve problem actually so? we attempt to inquire into this problem from another angle.Any nonperiodic signal can be expressed as fourier series through behind the periodic extension.That is:

$f\left(t\right)=\underset{n=0}{\overset{\&infin;}{\mathrm{\&Sigma;}}}(a_n\cos \mathrm{n\&omega;t}+b_n\sin \mathrm{n\&omega;t})$

So any signal just can be obtained by the sinusoidal signal stack, but finite term only can be got in following formula the right, thereby the key of problem is a precision., we will find: when harmonic number infinitely increases as long as anatomizing the frequency spectrum situation of the back several signals described in the foreword, the amplitude of harmonic component also just infinitely becomes little, for example the harmonic amplitude of cycle triangular pulse press 1/n square rule convergence, the rule that cycle sawtooth pulse harmonic amplitude press 1/n restrains.Therefore getting finite term superposes and always can satisfy error requirements.So we always can try to achieve the enough little error that meets the demands through several times.The basic theories of category-B signal generation that Here it is.Above basic theories has been arranged, and we just can derive the basic structure of generation category-B signal.The Laplace transformation of following formula f (t) is:

$F\left(S\right)=\underset{n=0}{\overset{\&infin;}{\mathrm{\&Sigma;}}}{a}_{\mathrm{<figure-callout\; id="2"\; label="n\; s\; s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">n</figure-callout>}}\frac{s}{s^{}}\frac{{}^2+{\left(\mathrm{n\&omega;}\right)}^2}{}+\underset{n=1}{\overset{\&infin;}{\mathrm{\&Sigma;}}}{b}_n\frac{\mathrm{n\&omega;}}{{\mathrm{<figure-callout\; id="2"\; label="s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">s</figure-callout>}}^2+{\left(\mathrm{n\&omega;}\right)}^2}=\underset{n=0}{\overset{\&infin;}{\mathrm{\&Sigma;}}}\frac{a_{n}s+b_n\mathrm{n\&omega;}}{{\mathrm{<figure-callout\; id="2"\; label="s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">s</figure-callout>}}^2+{\left(\mathrm{n\&omega;}\right)}^2}=\underset{n=0}{\overset{\&infin;}{\mathrm{\&Sigma;}}}\frac{a_n\frac{1}{s}+b_n\mathrm{n\&omega;}\frac{1}{{\mathrm{<figure-callout\; id="2"\; label="s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">s</figure-callout>}}^2}}{1+{\left(\mathrm{n\&omega;}\right)}^2\frac{1}{{\mathrm{<figure-callout\; id="2"\; label="s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">s</figure-callout>}}^2}}$

Drawing the category-B signal thus can be produced by the sine wave or the cosine wave stack of different frequency.Because sine wave or all available integrator of cosine wave, scalar multiplication device and adder produce, and form integration module with it, so the category-B signal can produce indirectly with integrator, scalar multiplication device and adder.

Fig. 1 utilizes system's impulse response principle to produce the schematic diagram of various signals for expression the present invention; As impulse signal source δ _T(t) after the impulse signal that sends is delivered to excited wave form signal generating circuit h (t), then can outwards export and the corresponding waveform of the structure of this excited wave form signal circuit through processing of circuit.

Figure 15 (a) and (b), (c) represent the operation relation of adder, scalar multiplication device, integrator respectively, and adder can be finished several input signal addition, subtraction operations; The scalar multiplication device can be finished the computing of a constant scalar and signal multiplication; Integrator can be finished the computing to signal integration.Input signal is represented with function x (t) or its conversion X (s) in the drawings, and output signal is represented with function y (t) or its conversion Y (s).

The present invention has positive effect: (1) excited wave form signal generating circuit of the present invention should connect an impulse signal source at its input, and the impulse signal source can be taken on the multivibrator that frequency, cycle, amplitude, pulsewidth, duty ratio can both be regulated arbitrarily.Excited wave form signal generating circuit of the present invention can be according to the method for system simulation, with adder, scalar multiplication device, three kinds of custom circuits of integrator separately or mix and form.(2) because only use kind three kinds of circuit seldom just can constitute Waveform signal generating circuit as basic element, so that design has been simplified in the large scale integration of signal generating Instrument and seriation.And but the advantage of circuit integration and seriation just is the scale production in enormous quantities, thereby improves reliability of products and performance greatly, and lowers production cost greatly.(3) and function generator (waveform generator) is similar on the excited wave form signal generating circuit function of the present invention, but it is further developing of function generator and improves.(4) the generic function generator only can produce signal for example square wave, triangular wave, sine wave, the cosine wave signal etc. about seven kinds, and excited wave form signal generating circuit of the present invention is except that comprising the signal that produces the generic function generator, also comprise the circuit that produces other all signals, the increased functionality of signal source just, the great advantage of Here it is excited wave form signal generator of the present invention.(5) structure superior function generator generally all is that a flip-flop circuit produces square wave, produce triangular wave and sawtooth waveforms by Miller integrating circuit then, other waveform obtains by linear function conversion or network transformation, the components and parts that so just need many types, so the one side complex structure, precision is difficult for improving on the other hand.Just must adopt this combining form of synthesizer/function generator if improve precision, make that like this structure is more complicated, cost an arm and a leg, need more frequency divider, narrow band filter, and simple in structure, the standard of excited wave form signal generating circuit of the present invention only needs three types components and parts: integrator, scalar multiplication device and adder can constitute any one excited wave form signal generating circuit, this circuit then can produce corresponding waveform, and the precision of waveform also improves easily.(6) stability of frequency and accuracy are one of important indicators of signal source.The measure that function generator improves frequency stability is exactly a method of using traditional generation sinusoidal signal, just above-mentioned synthetic/function generator, promptly high frequency stability is to be cost to adopt a large amount of frequency dividers, frequency multiplier and narrow band filter.Though excited wave form signal generating circuit of the present invention is simple in structure, its frequency stability and accuracy are very high equally.(7) though obtaining to hang down, function generator reaches 10 ^-6The signal of Hz, but be difficult to obtain square wave, triangular wave and the sawtooth waveforms of high repetition frequency, so the repetition rate upper limit of function generator is not high, generally below 20MHz, and excited wave form signal generating circuit upper frequency limit of the present invention is expected to improve, and only needs to increase the scalar multiplication device of some.

Description of drawings

Fig. 1 is composition frame chart of the present invention and utilizes system's impulse response principle to produce various signal graphs;

Fig. 2 is the composition frame chart that produces the excited wave form signal generating circuit of sine wave signal;

Fig. 3 is the composition frame chart that produces the excited wave form signal generating circuit of cosine wave signal;

Fig. 4 is the composition frame chart that produces the excited wave form signal generating circuit of sinusoidal wave deamplification;

Fig. 5 is the composition frame chart that produces the excited wave form signal generating circuit of parabolic signal;

Fig. 6 is the composition frame chart that produces the excited wave form signal generating circuit of hyperbolic sine signal;

Fig. 7 is the composition frame chart that produces the excited wave form signal generating circuit of hyperbolic cosine signal;

Fig. 8 is the composition frame chart that produces the excited wave form signal generating circuit of the Bsin ω t sine wave signal that frequency and amplitude can control arbitrarily;

Fig. 9 is the composition frame chart that produces the excited wave form signal generating circuit of the Acos ω t cosine wave signal that frequency and amplitude can control arbitrarily;

Figure 10 is a kind of many signals generator composition frame chart;

Figure 11 is the composition frame chart that the present invention produces the excited wave form signal generating circuit of the second class signal;

Figure 12 is the composition frame chart that produces the excited wave form signal generating circuit of square-wave signal;

Figure 13 is the composition frame chart that produces the excited wave form signal generating circuit of triangular signal;

Figure 14 is the composition frame chart that the present invention produces the excited wave form signal generating circuit of first kind signal;

Figure 15 a is adder figure;

Figure 15 b is scalar multiplication device figure;

Figure 15 C-1 is that initial condition is zero integrator figure;

Figure 15 C-2 is the non-vanishing integrator figure of initial condition,

Figure 16 is hysteresis comparator circuit figure.

Embodiment

The following examples are emulation on the EWB software platform, and practical proof the present invention is a practical.To be Canadian Interactive Image Technologies company the end of the eighties, the beginning of the nineties released EWB is specifically designed to electronic circuit and walks back and forth true and design " virtual electronic workbench EWB " Electronics Workbench software.Design of electronic products personnel utilize this software that designed circuit is carried out emulation and debugging.

(embodiment 1)

At first SIN function f (the t)=sin 5t to required waveform correspondence carries out Laplace transformation, and its Laplace transformation expression formula is:

$F\left(s\right)=\frac{5}{{\mathrm{<figure-callout\; id="2"\; label="s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">s</figure-callout>}}^2+25}=\frac{{5s}^{-2}}{1+{25s}^{-2}}$

As shown in Figures 1 and 2, the excited wave form signal generating circuit 2 of present embodiment is made up of adder 3, the first scalar multiplication device, first integrator 51, second integral device 52; An input that input is this circuit of adder 3; The first scalar multiplication device is made up of first multiplier 41 and power supply E1; An input of first multiplier 41 is connected the plus earth of power supply E1 with the negative pole of power supply E1; The output of first multiplier 41 is connected with another input of adder 3, the output of adder 3 is connected with the input of first integrator 51, the output of first integrator 51 is connected with the input of second integral device 52, and the output of second integral device 52 is connected with another input of first multiplier 41; The earth terminal of first integrator 51 and second integral device 52 connects together and ground connection; The output of second integral device 52 is the output of this circuit; Like this, the waveform of second integral device 52 outputs is exactly required SIN function f (t)=represented waveform of sin 5t.

(embodiment 2)

At first cosine function f (the t)=cos 5t to required waveform correspondence carries out Laplace transformation, and its Laplace transformation expression formula is: $F\left(s\right)=\frac{s}{{\mathrm{<figure-callout\; id="2"\; label="s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">s</figure-callout>}}^2+25}$

As Fig. 1 and shown in Figure 3, the excited wave form signal generating circuit 2 of present embodiment is by adder 3, the first scalar multiplication device, first integrator 51, and second integral device 52 is formed; An input that input is this circuit of adder 3; The first scalar multiplication device is made up of first multiplier 41 and power supply E1; 41 1 inputs of first multiplier are connected the plus earth of power supply E1 with power supply E1 negative pole; The output of first multiplier 41 is connected with another input of adder 3, the output of adder 3 is connected with the input of first integrator 51, the output of first integrator 51 is connected with the input of second integral device 52, and the output of second integral device 52 is connected with another input of first multiplier 41; The earth terminal of first integrator 51 and second integral device 52 connects together and ground connection; The output of first integrator 51 is the output of this circuit; Like this, the output waveform of first integrator 51 is exactly required cosine function f (t)=represented waveform of cos 5t.

(embodiment 3)

At first to sinusoidal wave attenuation function f (the t)=e of required waveform correspondence ^-tSin 10t carries out Laplace transformation, and its Laplace transformation expression formula is: $F\left(s\right)=\frac{10}{{(s+1)}^2+100}$

As Fig. 1 and shown in Figure 4, the excited wave form signal generating circuit 2 of present embodiment is by adder 3, the first scalar multiplication device, the second scalar multiplication device, first integrator 51, and second integral device 52 is formed; An input that input is this circuit of adder 3; The first scalar multiplication utensil has first multiplier 41, the second scalar multiplication utensil has second multiplier 42, first multiplier 41 and second multiplier, 42 shared power supply E1, an input of first multiplier 41 is connected with the negative pole of power supply E1, an input of second multiplier 42 is connected the plus earth of power supply E1 with the negative pole of power supply E1; The output of first multiplier 41 is connected with second input of adder 3, the output of second multiplier 42 is connected with the 3rd input of adder 3, the output of adder 3 is connected with the input of first integrator 51, the output one tunnel of first integrator 51 is connected with the input of second integral device 52, another road is connected with another input of first multiplier 41, the output of second integral device 52 is connected with another input of multiplier 42, and the earth terminal of first integrator 51 and second integral device 52 connects together and ground connection; The output of second integral device 52 is the output of this circuit; Like this, the waveform of second integral device 52 outputs is exactly required sinusoidal decay function f (t)=e ^-tThe waveform that sin 10t is represented.

(embodiment 4)

As shown in Figure 5, at first to parabolic function f (the t)=2t of required waveform correspondence ²Carry out Laplace transformation, its Laplace transformation expression formula is: $F\left(s\right)=\frac{4}{{\mathrm{<figure-callout\; id="3"\; label="s"\; filenames="C20041006460900202.png,C20041006460900203.png"\; state="\{\{state\}\}">s</figure-callout>}}^3}$

As Fig. 1 and shown in Figure 5, the excited wave form signal generating circuit 2 of present embodiment is made up of first integrator 51, second integral device 52, third integral device 53, the first scalar multiplication device; The input of first integrator 51 is the input of this circuit; The first scalar multiplication device is made up of first multiplier 4 and power supply E1; An input of first multiplier 4 is connected the minus earth of power supply E1 with the positive pole of power supply E1; First integrator 51, second integral device 52, the earth terminal of third integral device 53 connect together and ground connection; The output of first integrator 51 is connected with the input of second integral device 52, the output of second integral device 52 is connected with the input of third integral device 53, the output of third integral device 53 is connected with another input of first multiplier 41, and the output of first multiplier 41 is the output of this circuit; Like this, the waveform of first multiplier, 41 outputs is exactly needed parabolic function f (t)=2t ²Represented waveform.

(embodiment 5)

At first hyperbolic sine function f (the t)=shat to required waveform correspondence carries out Laplace transformation, and its Laplace transformation expression formula is: $F\left(s\right)=\frac{a}{s^2-a^2}$

As Fig. 1 and shown in Figure 6, the excited wave form signal generating circuit 2 of present embodiment is made up of first integrator 51, second integral device 52; The input of first integrator 51 is the input of this circuit; The earth terminal of first integrator 51 and second integral device 52 connects together and ground connection; The output of first integrator 51 is connected with the input of second integral device 52, and the output of second integral device 52 is the output of this circuit; Like this, the waveform of second integral device 52 outputs is exactly required hyperbolic sine function f (t)=represented waveform of shat.

(embodiment 6)

At first hyperbolic cosine function f (the t)=chat to required waveform correspondence carries out Laplace transformation, and its Laplace transformation expression formula is: $F\left(s\right)=\frac{s}{s^2-a^2}$

As Fig. 1 and shown in Figure 7, the excited wave form signal generating circuit 2 of present embodiment is made up of adder 3, first integrator 51, second integral device 52; An input that input is this circuit of adder 3; The earth terminal of first integrator 51 and second integral device 52 connects together and ground connection; The output of second integral device 52 is connected with another input of adder 3, the output of adder 3 is connected with the input of first integrator 51, the output of first integrator 51 is connected with second integral device 52 inputs, and the output of second integral device 52 is the output of this circuit; Like this, the waveform of second integral device 52 outputs is exactly required hyperbolic cosine function f (t)=represented waveform of chat.

(embodiment 7)

At first SIN function f (the t)=B sin ω t to required waveform correspondence carries out Laplace transformation, and it draws vows that the conversion expression formula is: $F\left(s\right)=\frac{\mathrm{B\&omega;}}{{\mathrm{<figure-callout\; id="2"\; label="S"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">S</figure-callout>}}^2+{\mathrm{\&omega;}}^2}$

As Fig. 1 and shown in Figure 8, the excited wave form signal generating circuit 2 of the sine wave signal of present embodiment is made up of adder 3, the first scalar multiplication device, the second scalar multiplication device, first integrator 51, second integral device 52; An input that input is this circuit of adder 3; The first scalar multiplication device is made up of first multiplier 41 and power supply E1, and an input of first multiplier 41 is connected the plus earth of power supply E1 with the negative pole of power supply E1; The second scalar multiplication device is made up of second multiplier 42 and power supply E2, and an input of second multiplier 42 is connected the minus earth of power supply E2 with power supply E2 is anodal; The output of first multiplier 41 is connected with another input of adder 3, the output of adder 3 is connected with the input of first integrator 51, the earth terminal of first integrator 51 and second integral device 52 connects together and is connected with ground, the output of first integrator 51 is connected with the input of second integral device 52, the output of second integral device 52 is connected with another input of first multiplier 41, and the output of second integral device 52 also is connected with another input of second multiplier 42; The output of second multiplier 42 is the output of this circuit; Like this, the waveform of second multiplier 42 output is exactly SIN function f (t)=represented waveform of B sin ω t that required frequency and amplitude can be regulated.

(embodiment 8)

At first cosine function f (the t)=A cos ω t to required waveform correspondence carries out Laplace transformation, and its Laplace transformation expression formula is:

$F\left(s\right)=\frac{\mathrm{As}}{{\mathrm{<figure-callout\; id="2"\; label="s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">s</figure-callout>}}^2+{\mathrm{\&omega;}}^2}$

As Fig. 1 and shown in Figure 9, the excited wave form signal generating circuit 2 of the cosine wave signal of present embodiment is made up of adder 3, the first scalar multiplication device, the second scalar multiplication device, first integrator 51, second integral device 52; An input that input is this circuit of adder 3; The first scalar multiplication device is made up of first multiplier 41 and power supply E1, and 41 1 inputs of first multiplier are connected the plus earth of power supply E1 with the negative pole of power supply E1; The second scalar multiplication device is made up of second multiplier 42 and power supply E2, and an input of second multiplier 42 is connected power supply E2 minus earth with the positive pole of power supply E2; The output of first multiplier 41 is connected with another input of adder 3, the output of adder 3 is connected with the input of first integrator 51, the output of first integrator 51 is connected with the input of second integral device 52, the output of second integral device 52 is connected with another input of first multiplier 41, the earth terminal of first integrator 51 and second integral device 52 connects together and is connected with ground, the output of first integrator 51 also is connected with another input of second multiplier 42, and the output of second multiplier 42 is the output of this circuit; Like this, the waveform of second multiplier 42 output is exactly cosine wave function f (t)=represented waveform of A cos ω t that required frequency and amplitude can be regulated.

(embodiment 9)

At first the square wave function of required waveform correspondence is carried out the fourier series conversion, its trigonometrical number expression formula is:

$f\left(t\right)=\frac{4}{\mathrm{\&pi;}}\underset{n=1}{\overset{\mathrm{<figure-callout\; id="1"\; label="n"\; filenames="C20041006460900212.png,C20041006460900221.png"\; state="\{\{state\}\}">n</figure-callout>}}{\mathrm{\&Sigma;}}}\frac{1}{2n-1}\sin (2n-1)\mathrm{\&omega;t}$

$=\frac{4}{\mathrm{\&pi;}}(\sin \mathrm{\&omega;t}+\frac{1}{3}\mathrm{<figure-callout\; id="3"\; label="sin"\; filenames="C20041006460900202.png,C20041006460900203.png"\; state="\{\{state\}\}">sin</figure-callout>}3\mathrm{\&omega;t}+\frac{1}{5}\sin 5\mathrm{\&omega;t}+\&CenterDot;\&CenterDot;\&CenterDot;+\frac{1}{2n-1}\sin (2n-1)\mathrm{\&omega;t})$

As Fig. 1 and shown in Figure 12, present embodiment produces the excited wave form signal generating circuit 2 of square-wave signal, by the sinusoidal signal circuit module b of 14 different frequencies _nSin n ω t is formed by stacking, the output in impulse signal source 1 is connected with the input INs of each sinusoidal signal circuit module, the output OUTs of each sinusoidal signal circuit module is connected with the input of same adder 3, and the waveform of adder 3 outputs, it is exactly required square wave, wherein adder 3 is input adder more than or many inputs adder that the multistage expansion of the adder by a plurality of three inputs is formed, and n is a positive integer, value 14.

(embodiment 10)

At first the triangular wave function to required waveform correspondence carries out the fourier series conversion, and its trigonometrical number expression formula is:

$f\left(t\right)=A(\frac{1}{2}-\frac{4}{{\mathrm{\&pi;}}^2}\underset{n=1}{\overset{n}{\mathrm{\&Sigma;}}}\frac{1}{{(2n-1)}^2}\cos (2n-1)\mathrm{\&omega;t})$

$=A(\frac{1}{2}-\frac{4}{{\mathrm{\&pi;}}^2}(\cos \mathrm{\&omega;t}+\frac{1}{3^2}\mathrm{<figure-callout\; id="3"\; label="cos"\; filenames="C20041006460900202.png,C20041006460900203.png"\; state="\{\{state\}\}">cos</figure-callout>}3\mathrm{\&omega;t}+\frac{1}{5^2}\cos 5\mathrm{\&omega;t}+\&CenterDot;\&CenterDot;\&CenterDot;+\frac{1}{{(2n-1)}^2}\cos (2n-1)\mathrm{\&omega;t}))$

As Fig. 1 and shown in Figure 13, present embodiment produces the cosine signal circuit module a of the excited wave form signal generating circuit 2 of triangular signal by 7 different frequencies _nCos n ω t is formed by stacking, the output in impulse signal source 1 is connected with the input INc of each cosine signal circuit module, the output OUTc of each cosine signal circuit module is connected with the input of same adder 3, and the waveform of adder 3 outputs, it is exactly required triangular wave, wherein adder 3 is input adder more than or many inputs adder that the multistage expansion of the adder by a plurality of three inputs is formed, and n is a positive integer, value 7.

(application examples 1)

As shown in figure 10, a kind of many signals generator, be to have comprehensive above-mentioned sine wave signal (embodiment 1), cosine wave signal (embodiment 2), sinusoidal wave deamplification (embodiment 3), the f that frequency and amplitude can be regulated (t)=B sin ω t sine wave signal (embodiment 7), the f that frequency and amplitude can be regulated (t)=A cos ω t cosine wave signal (embodiment 8), hyperbolic sine signal (embodiment 5), hyperbolic cosine signal (embodiment 6), the waveform signal generators of using of 8 kinds of different wave of parabolic signal (embodiment 4) more, its structure links together for the input of each excited wave form signal generating circuit and is connected with the output in impulse signal source 1, and the output of each different excited wave form signal generating circuits is connected to waveform output selector switch k1 separately, k2, k3, k4, k5, k6, on k7 and the k8.By the closure of selector switch, promptly can export needed waveform.In order to improve the instrument result of use, can connect amplifier etc. in the excited wave form signal generating circuit back.

(application examples 2)

As shown in figure 12, produce the excited wave form signal generating circuit of square-wave signal, for the ease of the observation analysis square-wave signal, we have in the end added a voltage amplification module (not drawing among the figure), and its gain is 60v/v.

Also has a hysteresis comparator, its circuit as shown in figure 16, hysteresis comparator is a comparator with sluggish winding transmission characteristic, on the basis of anti-phase input simple gate limit voltage comparator, introduced the positive feedback network, by R6, R7, R8, R9 forms, and our used comparator is the anti-phase input hysteresis comparator with two-door limit value.Because positive feedback effect, the threshold voltage of this comparator is that the variation with output voltage V 0 changes.Its sensitivity is low, but antijamming capability is than higher.

Claims (12)

1, a kind of excited wave form signal generating circuit, it is characterized in that: have an input and an output, independent or same adder, scalar multiplication device make up and constitute by integrator for the port that is connected with impulse signal source (1) when the input of this circuit is to use, this circuit; The port of the corresponding waveform signal of structure of exportable and this circuit when the output of this circuit is to use.

2, excited wave form signal generating circuit according to claim 1 is characterized in that: this circuit is made up of adder (3), the first scalar multiplication device, first integrator (51), second integral device (52); An input that input is this circuit of adder (3); The first scalar multiplication device is made up of first multiplier (41) and power supply (E1); An input of first multiplier (41) is connected the plus earth of power supply (E1) with the negative pole of power supply (E1); The output of first multiplier (41) is connected with another input of adder (3), the output of adder (3) is connected with the input of first integrator (51), the output of first integrator (51) is connected with the input of second integral device (52), and the output of second integral device (52) is connected with another input of first multiplier (41); The earth terminal of first integrator (51) and second integral device (52) connects together and ground connection; The output of second integral device (52) is the output of this circuit; The port of exportable sine wave signal f (t) when like this, the output of this circuit is to use=sin ω t.

3, excited wave form signal generating circuit according to claim 1 is characterized in that: this circuit is made up of adder (3), the first scalar multiplication device, first integrator (51), second integral device (52); An input that input is this circuit of adder (3); The first scalar multiplication device is made up of first multiplier (41) and power supply (E1); An input of first multiplier (41) is connected the plus earth of power supply (E1) with power supply (E1) negative pole; The output of first multiplier (41) is connected with another input of adder (3), the output of adder (3) is connected with the input of first integrator (51), the output of first integrator (51) is connected with the input of second integral device (52), and the output of second integral device (52) is connected with another input of first multiplier (41); The earth terminal of first integrator (51) and second integral device (52) connects together and ground connection; The output of first integrator (51) is the output of this circuit; The port of exportable cosine wave signal f (t) when like this, the output of this circuit is to use=cos ω t.

4, excited wave form signal generating circuit according to claim 1 is characterized in that: this circuit is made up of adder (3), the first scalar multiplication device, the second scalar multiplication device, first integrator (51), second integral device (52); An input that input is this circuit of adder (3); The first scalar multiplication utensil has first multiplier (41), the second scalar multiplication utensil has second multiplier (42), first multiplier (41) and the shared power supply of second multiplier (42) (E1), an input of first multiplier (41) is connected with the negative pole of power supply (E1), an input of second multiplier (42) is connected power supply (E1) plus earth with the negative pole of power supply (E1); The output of first multiplier (41) is connected with second input of adder (3), the output of second multiplier (42) is connected with the 3rd input of adder (3), the output of adder (3) is connected with the input of first integrator (51), the output one tunnel of first integrator (51) is connected with the input of second integral device (52), another road is connected with another input of first multiplier (41), the output of second integral device (52) is connected with another input of second multiplier (42), and the earth terminal of first integrator (51) and second integral device (52) connects together and ground connection; The output of second integral device (52) is the output of this circuit; Exportable sinusoidal wave deamplification f (t)=e when like this, the output of this circuit is to use ^-btThe port of sin ω t.

5, excited wave form signal generating circuit according to claim 1 is characterized in that: this circuit is made up of first integrator (51), second integral device (52), third integral device (53), the first scalar multiplication device; The input of first integrator (51) is the input of this circuit; The first scalar multiplication device is made up of first multiplier (41) and power supply (E1); An input of first multiplier (41) is connected the minus earth of power supply (E1) with the positive pole of power supply (E1); First integrator (51), second integral device (52), the earth terminal of third integral device (53) connect together and ground connection; The output of first integrator (51) is connected with the input of second integral device (52), the output of second integral device (52) is connected with the input of third integral device (53), the output of third integral device (53) is connected with another input of first multiplier (41), and the output of first multiplier (41) is the output of this circuit; Exportable parabolic signal f (t)=at when like this, the output of this circuit is to use ²Port.

6, excited wave form signal generating circuit according to claim 1 is characterized in that: this circuit is made up of first integrator (51), second integral device (52); The input of first integrator (51) is the input of this circuit; The earth terminal of first integrator (51) and second integral device (52) connects together and ground connection; The output of first integrator (51) is connected with the input of second integral device (52), and the output of second integral device (52) is the output of this circuit; The port of exportable hyperbolic sine signal f (t)=shat when like this, the output of this circuit is to use.

7, excited wave form signal generating circuit according to claim 1 is characterized in that: this circuit is made up of adder (3), first integrator (51), second integral device (52); An input that input is this circuit of adder (3); The earth terminal of first integrator (51) and second integral device (52) connects together and ground connection; The output of second integral device (52) is connected with another input of adder (3), the output of adder (3) is connected with the input of first integrator (51), the output of first integrator (51) is connected with the input of second integral device (52), and the output of second integral device (52) is the output of this circuit; The port of exportable hyperbolic cosine signal f (t)=chat when like this, the output of this circuit is to use.

8, excited wave form signal generating circuit according to claim 1 is characterized in that: this circuit is made up of adder (3), the first scalar multiplication device, the second scalar multiplication device, first integrator (51), second integral device (52); An input that input is this circuit of adder (3); The first scalar multiplication device is made up of first multiplier (41) and first power supply (E1), and an input of first multiplier (41) is connected the plus earth of first power supply (E1) with the negative pole of first power supply (E1); The second scalar multiplication device is made up of second multiplier (42) and second source (E2), and an input of second multiplier (42) is connected the minus earth of second source (E2) with the positive pole of second source (E2); The output of first multiplier (41) is connected with another input of adder (3), the output of adder (3) is connected with the input of first integrator (51), the earth terminal of first integrator (51) and second integral device (52) connects together and is connected with ground, the output of first integrator (51) is connected with the input of second integral device (52), the output of second integral device (52) is connected with another input of first multiplier (41), and the output of second integral device (52) also is connected with another input of second multiplier (42); The output of second multiplier (42) is the output of this circuit; The port of the sine wave signal f (t) that exportable frequency and amplitude can be regulated when like this, the output of this circuit was to use=Bsin ω t.

9, excited wave form signal generating circuit according to claim 1 is characterized in that: this circuit is made up of adder (3), the first scalar multiplication device, the second scalar multiplication device, first integrator (51), second integral device (52); An input that input is this circuit of adder (3); The first scalar multiplication device is made up of first multiplier (41) and first power supply (E1), and an input of first multiplier (41) is connected the plus earth of first power supply (E1) with the negative pole of first power supply (E1); The second scalar multiplication device is made up of second multiplier (42) and second source (E2), and an input of second multiplier (42) is connected second source (E2) minus earth with the positive pole of second source (E2); The output of first multiplier (41) is connected with another input of adder (3), the output of adder (3) is connected with the input of first integrator (51), the output of first integrator (51) is connected with the input of second integral device (52), the output of second integral device (52) is connected with another input of first multiplier (41), and the earth terminal of first integrator (51) and second integral device (52) connects together and ground connection; The output of first integrator (51) also is connected with another input of second multiplier (42), and the output of second multiplier (42) is the output of this circuit; The port of the cosine wave signal f (t) that exportable frequency and amplitude can be regulated when like this, the output of this circuit was to use=Acos ω t.

10, a kind of excited wave form signal generating circuit, it is characterized in that: have an input and an output, the port that is connected with impulse signal source (1) when the input of this circuit is to use, the port of the corresponding waveform signal of structure of exportable and this circuit when the output of this circuit is to use; By integrator, adder and three element circuits of scalar multiplication device just constituting, the cosine signal circuit module; Wherein sinusoidal signal circuit module circuit is made up of first adder (3-1), the first scalar multiplication device, the second scalar multiplication device, first integrator (51-1), second integral device (52-1); An input that input is this circuit module of first adder (3-1); The first scalar multiplication device is made up of first multiplier (41-1) and first power supply (E1), and an input of first multiplier (41-1) is connected the plus earth of first power supply (E1) with the negative pole of first power supply (E1); The second scalar multiplication device is made up of second multiplier (42-1) and second source (E2), and an input of second multiplier (42-1) is connected the minus earth of second source (E2) with second source (E2) is anodal; The output of first multiplier (41-1) is connected with another input of first adder (3-1), the output of first adder (3-1) is connected with the input of first integrator (51-1), and the earth terminal of first integrator (51-1) and second integral device (52-1) connects together and is connected with ground; The output of first integrator (51-1) is connected with the input of second integral device (52-1), the output of second integral device (52-1) is connected with another input of first multiplier (41-1), and the output of second integral device (52-1) also is connected with another input of second multiplier (42-1); The output of second multiplier (42-1) is the output of this circuit module; The sine wave signal a that exportable frequency and amplitude can be regulated when like this, the output of sinusoidal signal circuit module was to use _nThe port of cos n ω t; The cosine signal circuit module goes out second adder (3-2), the 3rd scalar multiplication device, the 4th scalar multiplication device, third integral device (51-2), the 4th integrator (52-2) composition; An input that input is this circuit module of second adder (3-2); The 3rd scalar multiplication device is made up of the 3rd multiplier (41-2) and the 3rd power supply (E3), and input of the 3rd multiplier (41-2) is connected the plus earth of the 3rd power supply (E3) with the 3rd power supply (E3) negative pole; The 4th scalar multiplication device is made up of the 4th multiplier (42-2) and the 4th power supply (E4), and input of the 4th multiplier (42-2) is connected the minus earth of the 4th power supply (E4) with the 4th power supply (E4) is anodal; The output of the 3rd multiplier (41-2) is connected with another input of second adder (3-2), the output of second adder (3-2) is connected with the input of third integral device (51-2), the output of third integral device (51-2) is connected with the input of the 4th integrator (52-2), the output of the 4th integrator (52-2) is connected with another input of the 3rd multiplier (41-2), the earth terminal of third integral device (51-2) and the 4th integrator (52-2) connects together and ground connection, the output of third integral device (51-2) also is connected with another input of the 4th multiplier (42-2), and the output of the 4th multiplier (42-2) is the output of this circuit module; The cosine wave signal b that exportable frequency and amplitude can be regulated when like this, the output of cosine signal circuit module was to use _nThe port of sin n ω t; Again by just, cosine signal circuit module stack and constitute this circuit; Each just, the input of cosine signal circuit module links together, each just, the earth terminal of cosine signal circuit module links together and ground connection, each just, the output of cosine signal circuit module is connected with each input of same adder (39), and adder (39) output is the output of this circuit; Wherein adder (39) is input adder more than or many inputs adder of being made up of by multistage expansion a plurality of three-input adders; Output was by trigonometrical number when thereby the output that makes this circuit was to use $\underset{n=1}{\overset{\&infin;}{\mathrm{\&Sigma;}}}(a_n\cos \mathrm{n\&omega;t}+b_n\sin \mathrm{n\&omega;t})$ The port of represented waveform, $\underset{n=1}{\overset{\&infin;}{\mathrm{\&Sigma;}}}(a_n\cos \mathrm{n\&omega;t}+b_n\sin \mathrm{n\&omega;t})$ In, a _nAnd b _nBe the component coefficient in the fourier series conversion expression formula, n is the item number that launches in the fourier series conversion expression formula, and n is a positive integer, and the value of n is decided value 5-20 by the simulation precision of waveform.

11, excited wave form signal generating circuit according to claim 10 is characterized in that: this circuit is by the sinusoidal signal circuit module b of n different frequency _nSin n ω t is formed by stacking, and its trigonometrical number expression formula is:

$f\left(t\right)=\frac{4}{\mathrm{\&pi;}}\underset{n=1}{\overset{n}{\mathrm{\&Sigma;}}}\frac{1}{2n-1}\sin (2n-1)\mathrm{\&omega;t}$

$=\frac{4}{\mathrm{\&pi;}}(\sin \mathrm{\&omega;t}+\frac{1}{3}\sin 3\mathrm{\&omega;t}+\frac{1}{5}\sin 5\mathrm{\&omega;t}+\&CenterDot;\&CenterDot;\&CenterDot;+\frac{1}{2n-1}\sin (2n-1)\mathrm{\&omega;t})$

Each sinusoidal signal circuit module input (INs) links together, as the input of this circuit; The output of each sinusoidal signal circuit module (OUTs) is connected with each input of same adder (3), and the waveform of adder (3) output is exactly required square wave, wherein adder (3) is input adder more than or many inputs adder of being made up of by multistage expansion a plurality of three-input adders, n is a positive integer, value 5-20.

12, excited wave form signal generating circuit according to claim 10 is characterized in that: this circuit is by one group of cosine signal circuit module a _nCos n ω t is formed by stacking, and its trigonometrical number expression formula is:

$f\left(t\right)=A(\frac{1}{2}-\frac{4}{{\mathrm{\&pi;}}^2}\underset{n=1}{\overset{n}{\mathrm{\&Sigma;}}}\frac{1}{{(2n-1)}^2}\cos (2n-1)\mathrm{\&omega;t})$

$=A(\frac{1}{2}-\frac{4}{{\mathrm{\&pi;}}^2}(\cos \mathrm{\&omega;t}+\frac{1}{3^2}\cos 3\mathrm{\&omega;t}+\frac{1}{5^2}\cos 5\mathrm{\&omega;t}+\&CenterDot;\&CenterDot;\&CenterDot;+\frac{1}{{(2n-1)}^2}\cos (2n-1)\mathrm{\&omega;t}))$

Each cosine signal circuit module input (INc) links together, as the input of this circuit; The output of each cosine signal circuit module (OUTc) is connected with each input of same adder (3), and the waveform of adder (3) output is exactly required triangular wave, wherein adder (3) is input adder more than or many inputs adder of being made up of by multistage expansion a plurality of three-input adders, n is a positive integer, value 5-10.

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