CN102238120B - FM/Chirp composite frequency modulation mode and implementation method thereof - Google Patents

FM/Chirp composite frequency modulation mode and implementation method thereof Download PDF

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CN102238120B
CN102238120B CN201110041059.1A CN201110041059A CN102238120B CN 102238120 B CN102238120 B CN 102238120B CN 201110041059 A CN201110041059 A CN 201110041059A CN 102238120 B CN102238120 B CN 102238120B
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frequency
carrier
chirp
frequency modulation
modulation
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CN102238120A (en
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周运伟
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/10—Frequency-modulated carrier systems, i.e. using frequency-shift keying
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B1/00—Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
    • H04B1/69—Spread spectrum techniques
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B1/00—Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
    • H04B1/69—Spread spectrum techniques
    • H04B2001/6912—Spread spectrum techniques using chirp

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  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
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  • Digital Transmission Methods That Use Modulated Carrier Waves (AREA)
  • Mobile Radio Communication Systems (AREA)
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Abstract

The invention relates to an FM/Chirp composite frequency modulation mode and an implementation method thereof, belonging to the field of communication. The FM/Chirp composite frequency modulation mode provided by the invention is as follows: a sending end modulation process refers to taking a composite frequency modulation carrier, which is formed by performing secondary frequency modulation on a Chirp pulse carrier by a base band signal to be modulated, as a communication signal; and a receiving end modulation process refers to recovering a restoring sample of the base band signal to be modulated according to a frequency change rule which is added to the Chirp pulse carrier in the secondary frequency modulation process and contained in the composite frequency modulation carrier. The invention further provides two modulation methods for implementing the FM/Chirp composite frequency modulation mode, a related despreading method and a local Chirp pulse carrier frequency sweeping period synchronization method used with the related despreading method. The provided method for implementing information transmission through frequency modulation on the Chirp pulse carrier makes up the defects of Chirp modulation used in communication, and is further convenient for compatibly implementing the frequency modulation mode of the type corresponding to the secondary frequency modulation.

Description

A kind of FM/Chirp combination frequency modulation system and its implementation
Technical field
The present invention relates to a kind of FM/Chirp combination frequency modulation system and its implementation, belong to the communications field.
Background technology
Frequency modulation(FM) (FM) is that a class utilizes the frequency change of sinusoidal carrier to carry out the modulation system of transmission information, and typical FM modulation system has the polytypes such as analog linearity FM, FFSK, 4FSK, C4FM, GMSK, TFM.FM modulated carrier has permanent envelope; Transmitting terminal can be used high efficiency C class resonant radio frequency power amplifier, is convenient to realize high-power transmitting; Additional amplitude modulation and strong jamming adverse effect that receiving terminal can adopt amplitude limiter to suppress to introduce in transmitting procedure, have stronger anti-fading and antijamming capability than amplitude modulation(PAM) and phase modulation method while applying in mobile communication environment.
Chirp modulation claims again frequency sweep modulation, is by specific rule, to make a kind of band spectrum modulation mode that monotone variation forms on a large scale in time by controlling the frequency of sinusoidal carrier, still belongs to frequency modulation(FM) type.Chirp modulation be take frequency sweep cycle and is repeated as time span unit, and the modulated carrier after Chirp modulation is also known as Chirp pulse carrier.
Chirp pulse carrier both can produce by active technique, also can produce with passive method; Wherein, active technique is, by the frequency that baseband waveform removes to control the sinusoidal carrier of voltage controlled oscillator (VCO) output, large-scale monotone variation occurs, because being difficult to realization to the linearity of voltage controlled oscillator (VCO) is very high; Passive method is to adopt surface acoustic wave (SAW) broadening line to produce Chirp pulse carrier, is limited to the physical structure of surface acoustic wave (SAW) broadening line and is not easy to produce the multiple Chirp pulse carrier with different frequency sweep rules, different frequency sweep bandwidth and different sweep rates.The demodulation of Chirp pulse carrier, main employing can realize surface acoustic wave (SAW) compressed lines or the dispersive delay line of Fast synchronization.Be subject to the restriction of surface acoustic wave (SAW) device physics structure, can not utilize a kind of surface acoustic wave (SAW) compressed lines or dispersive delay line to carry out the multiple Chirp pulse carrier with different frequency sweep bandwidth, different frequency sweep cycle, different frequency sweep rules of demodulation.Be limited to the characteristic of the generation of Chirp pulse carrier and demodulation device, main by the modulation of the amplitude of Chirp pulse carrier, frequency sweep rule type or initial phase parameter is carried out to transmission information at present.
The frequency change rule of Chirp pulse carrier in a frequency sweep cycle is known as frequency sweep rule.The frequency sweep rule of Chirp pulse carrier has monotone increasing, the dull two kinds of citation forms that decline, also the simple combination form that have first monotone increasing dullly again to decline, first dullness declines monotone increasing and so on again, also has the complex combination form that the monotone increasing of some and dull decline rule are sequentially spliced to form by certain; Its monotone increasing also has linear and non-linear dividing with the dull Changing Pattern declining.
The frequency sweep rule of Chirp pulse carrier has dividing of positive and negative frequency sweep rule and former, complementary frequency sweep rule.For certain frequency sweep rule, if used by the normal time order in its frequency sweep cycle (i.e. the frequency change from the frequency of frequency sweep cycle starting position to frequency sweep cycle end position), be referred to as positive frequency sweep rule or former frequency sweep rule; If use by this frequency sweep rule contrary time sequencing (i.e. the frequency change from the frequency of frequency sweep cycle end position to frequency sweep cycle starting position) in frequency sweep cycle, the new frequency sweep rule forming be thus referred to as to the anti-frequency sweep rule of former frequency sweep rule; If used in order by the normal time in certain frequency sweep rule frequency sweep cycle, but the frequency change rule of its frequency change rule and former frequency sweep rule is that line is symmetrical centered by the centre frequency of Chirp pulse carrier, the new frequency sweep rule forming is thus referred to as to the complementary frequency sweep rule of former frequency sweep rule.
In recent years, along with the maturation of digital frequency synthesis technology, can produce easily the Chirp pulse carrier that carrier frequency stepping (Stepping) changes.For the ease of distinguishing, the carrier frequency Chirp pulse carrier that (Continuous) changes is continuously called to C-Chirp pulse carrier; Correspondingly, Chirp pulse carrier carrier frequency stepping (Stepping) being changed is called S-Chirp pulse carrier.
Combination frequency modulation is by carrying out to carrying out once warbled carrier wave (being called for short afterwards frequency modulation(FM) carrier wave one time) the senior frequency modulation(FM) mode that secondary frequency modulation(FM) forms.Combination by different frequency modulation system can obtain different special-effects, for meeting some special application requirements, as secure radio communication, arrowband high-quality Analogvideotransmission etc.The realization of combination frequency modulation have separate modulation device separately multicarrier combination, only have the various ways such as multicarrier combination of a modulator.
Summary of the invention
The first problem that the present invention will solve is to provide a kind of FM/Chirp combination frequency modulation system, by Chirp pulse carrier being carried out to frequency modulation(FM) and frequency demodulation processes to realize communication.
The Second Problem that the present invention will solve is to provide the implementation method of this FM/Chirp combination frequency modulation system, so that this FM/Chirp combination frequency modulation system is carried out to theory analysis and Project Realization.
In order to address the above problem, the present invention first provides the overall technological scheme of this FM/Chirp combination frequency modulation system, then provide and realize the two kinds of modulator approaches of modulated process of making a start in this FM/Chirp combination frequency modulation system, then a kind of method that in receiving end demodulating process of realizing this FM/Chirp combination frequency modulation system, relevant despreading is processed and the frequency sweep cycle synchronous method of the matching used local Chirp pulse carrier of a kind of despreading method relevant to this are provided.
(1) FM/Chirp combination frequency modulation system
A kind of combination frequency modulation system, by making a start, modulation and receiving end demodulation two parts form, its overall technological scheme is: the modulation of making a start is to adopt Chirp pulse carrier as a frequency modulation(FM) carrier wave, with treating that modulating baseband signal carries out the formed combination frequency modulated carrier of secondary frequency modulation(FM) as signal of communication to Chirp pulse carrier; Receiving end demodulation is to recover according to the frequency change rule that modulating baseband signal carries out adding to Chirp pulse carrier in secondary frequency modulation procedure to Chirp pulse carrier for the treatment of comprising in the combination frequency modulated carrier receiving the reduction sample for the treatment of modulating baseband signal.Because this combination frequency modulation system is that Chirp pulse carrier is carried out to frequency modulation(FM) (FM), be therefore called FM/Chirp combination frequency modulation system, or be called for short and do FM/Chirp modulation; Correspondingly, the modulated carrier producing by FM/Chirp combination frequency modulation system can be called for short makes FM/Chirp modulated carrier.
Making a start in modulated process of this FM/Chirp modulation, treat that modulating baseband signal carries out the formed FM/Chirp modulated carrier of secondary frequency modulation(FM) to Chirp pulse carrier and can be expressed as
S(t)＝cos{2π[f 0+μ(t)+Ω(t)]t} (1)
Wherein, f 0it is the centre frequency of FM/Chirp modulated carrier, μ (t) is the frequency sweep rule that Chirp pulse carrier is used, and Ω (t) treats that modulating baseband signal carries out adding in secondary frequency modulation procedure the frequency change rule to Chirp pulse carrier to Chirp pulse carrier.For the ease of realizing the compatibility with FM modulation, require to treat that modulating baseband signal carries out adding in secondary frequency modulation procedure that frequency change rule Ω (t) to Chirp pulse carrier is identical with employing treats that modulating baseband signal is undertaken adding to the frequency change rule of sinusoidal carrier in modulated process identical by the frequency modulation(FM) mode offset of sinusoidal carrier wave of secondary frequency modulation(FM) institute corresponding types to Chirp pulse carrier.
In suc as formula the FM/Chirp modulated carrier shown in (1), although μ (t) and Ω (t) are the frequency change rule of carrier wave, but μ (t) be in a frequency modulation procedure, form for realizing the frequency sweep rule of spread spectrum, only have Ω (t) be only according to treat that modulating baseband signal produces really for the frequency change rule of transmission information.Due to the primary modulation in above-mentioned FM/Chirp modulation system and secondary modulation all for be to carry a wave frequency, so FM/Chirp modulated carrier is permanent envelope, still can continue to use the C class tuned power amplifier that FM modulation is used.
Especially, if the amplitude of the frequency sweep rule μ (t) of the Chirp pulse carrier using equals 0, FM/Chirp modulated carrier has just become and has treated that modulating baseband signal carries out the formed FM modulated carrier of frequency modulation(FM) by the frequency modulation(FM) mode offset of sinusoidal carrier wave of secondary frequency modulation(FM) institute corresponding types, that is:
S′(t)＝cos{2π[f 0+Ω(t)]t} (2)
In the receiving end demodulating process of above-mentioned FM/Chirp modulation, for basis recovers suc as formula the real frequency change rule Ω (t) for transmission information in the FM/Chirp modulated carrier shown in (1) the reduction sample for the treatment of modulating baseband signal, its processing procedure is: by relevant despreading process remove in the FM/Chirp modulated carrier receiving, comprise for realizing the frequency sweep rule μ (t) of spread spectrum, obtain the relevant despreading result that only comprises Ω (t) composition shown in similar formula (2), adopt the frequency demodulation processing of the frequency modulation(FM) mode of secondary frequency modulation(FM) institute corresponding types to recover the reduction sample for the treatment of modulating baseband signal from relevant despreading result.
In above-mentioned FM/Chirp modulation, the caused interference of synchronous error when relevant despreading being processed in receiving end demodulating process suppresses, and the frequency sweep cycle as the Chirp pulse carrier of a frequency modulation(FM) carrier wave in the modulated process of making a start is done to following restriction:
(1), when when modulating baseband signal is analog signal, as the frequency sweep cycle length of the Chirp pulse carrier of a frequency modulation(FM) carrier wave, be less than the single Cycle Length for the treatment of the highest effective frequency component in modulating baseband analog signal;
(2), when when modulating baseband signal is digital signal, as the frequency sweep cycle length of the Chirp pulse carrier of a frequency modulation(FM) carrier wave, be less than the single duration length for the treatment of modulating baseband numeric code.
In above-mentioned FM/Chirp modulation, the frequency sweep rule of using as the Chirp pulse carrier of a frequency modulation(FM) carrier wave has monotone increasing, the dull two kinds of citation forms and by the combining forms of these two kinds of citation forms through being spliced to form of declining; Monotone increasing in its frequency sweep rule and dull decline change, can change by linear or nonlinear rule, can change by continuous or step-type mode (that is C-Chirp pulse carrier and S-Chirp pulse carrier all can be used as a frequency modulation(FM) carrier wave use).
Because FM modulation has polytype, frequency sweep rule as the Chirp pulse carrier of a frequency modulation(FM) carrier wave also has various ways, Chirp pulse carrier also has dividing of C-Chirp pulse carrier and S-Chirp pulse carrier, therefore FM/Chirp modulation need to be divided into different subclasses, so that distinguish.As:
(1) according to the carrier frequency variation mode of used Chirp pulse carrier, classify
If C-Chirp pulse carrier is carried out to frequency modulation(FM) (FM), this combination frequency modulation system is called to FM/C-Chirp combination frequency modulation system, or is called for short and does FM/C-Chirp modulation; Correspondingly, the modulated carrier producing by FM/C-Chirp combination frequency modulation system can be called for short makes FM/C-Chirp modulated carrier.
If S-Chirp pulse carrier is carried out to frequency modulation(FM) (FM), this combination frequency modulation system is called to the modulation of FM/S-Chirp combination frequency, or is called for short and does FM/S-Chirp modulation; Correspondingly, the modulated carrier producing by FM/S-Chirp combination frequency modulation system can be called for short makes FM/S-Chirp modulated carrier.
(2) the frequency modulation(FM) mode type that frequency modulation(FM) is used according to secondary is classified
If the frequency modulation(FM) mode of using when C-Chirp pulse carrier is carried out to secondary frequency modulation(FM) is analog linearity FM modulation, this combination frequency modulation system is called to analog linearity FM/C-Chirp modulation.
If the frequency modulation(FM) mode of using when S-Chirp pulse carrier is carried out to secondary frequency modulation(FM) for FFSK modulates, is called this combination frequency modulation system FFSK/S-Chirp modulation.
So analogize, also have 4FSK/C-Chirp, 4FSK/S-Chirp, GMSK/C-Chirp, GMSK/S-Chirp, etc. a plurality of subclasses.
In addition also can classify according to parameters such as the frequency sweep rule type of Chirp pulse carrier, sweep rates.
Confusion of concepts for fear of in subsequent descriptions, provides as follows the implication of relevant noun:
(1) while using separately FM mono-word, representative be all analog-and digital-frequency modulation(FM) modes;
(2) while using separately Chirp mono-word, representative be C-Chirp and S-Chirp;
(3) while using separately FM/Chirp mono-word, what FM represented is all analog-and digital-frequency modulation(FM) modes, and that Chirp represents is C-Chirp and S-Chirp.
(2) modulator approach one
A kind of modulator approach that realizes the modulated process of making a start in above-mentioned FM/Chirp combination frequency modulation system: with treating that modulating baseband signal modulate acquisition FM modulated carrier by the FM modulation system offset of sinusoidal carrier wave of secondary frequency modulation(FM) institute corresponding types, this FM modulated carrier and Chirp pulse carrier are carried out to mixing, extract in mixing output with frequently or difference frequency component as the FM/Chirp modulated carrier as signal of communication.The implementation procedure of this modulator approach is as follows:
(1) centre frequency is f 0, frequency sweep rule is that the Chirp pulse carrier of μ (t) can be expressed as
S 2(t)＝cos{2π[f 0+μ(t)]t} (3)
(2) with treating that sinusoidal carrier that modulating baseband signal is f1 by the frequency modulation(FM) mode of secondary frequency modulation(FM) institute corresponding types to centre frequency carries out the FM modulated carrier that FM modulation obtains and is
S 3(t)＝cos{2π[f 1+Ω(t)]t} (4)
Wherein, Ω (t) be that modulating baseband signal forms according to treating, for the frequency change rule of transmission information;
(3) by Chirp pulse carrier S 2(t) with FM modulated carrier S 3(t) carry out mixing, mixing is output as
S 4 ( t ) = S 2 ( t ) S 3 ( t ) = cos { 2 π [ f 0 + μ ( t ) ] t } cos { 2 π [ f 1 + Ω ( t ) ] t }
= 1 2 cos { 2 π [ f 0 + f 1 + μ ( t ) + Ω ( t ) ] t } + 1 2 cos { 2 π [ ( f 0 - f 1 ) + μ ( t ) - Ω ( t ) ] t } - - - ( 5 )
Wherein, the output S of mixing 4(t) in frequency component be cos{2 π [f 0+ f 1+ μ (t)+Ω (t)] t}, difference frequency component is cos{2 π [(f 0-f 1)+μ (t)-Ω (t)] t};
(4) extraction and frequency component are as the FM/Chirp modulated carrier as signal of communication,
S 5(t)＝cos{2π[f 0+f 1+μ(t)+Ω(t)]t}＝cos{2π[f T+μ(t)+Ω(t)]t} (6)
In formula, f tequal f 0with f 1sum;
(5) S in comparison expression (6) 5(t) S (t) and in formula (1) is known, and the two is centre frequency difference, frequency sweep rule and all identical for the frequency change rule of transmission information, therefore can by suc as formula shown in (6) with frequency component S 5(t) as the FM/Chirp modulated carrier as signal of communication.
According to formula (5), also can learn: the difference frequency component in the output of extracting mixing is during as FM/Chirp modulated carrier as signal of communication, if the centre frequency of FM modulated carrier is lower than the centre frequency of Chirp pulse carrier, what FM/Chirp modulated carrier adopted is the identical frequency sweep rule of frequency sweep rule of using with Chirp pulse carrier, actual transmissions be the anti-phase waveform for the treatment of modulating baseband signal; If the centre frequency of FM modulated carrier is higher than the centre frequency of Chirp pulse carrier, actual what use is the frequency sweep rule of the frequency sweep rule complementation used with Chirp pulse carrier to FM/Chirp modulated carrier, actual transmissions be the phase wiggles for the treatment of modulating baseband signal.
In this modulator approach, the S-Chirp pulse carrier of carrier frequency continually varying C-Chirp pulse carrier and carrier frequency stepwise change all can be used.Especially, if the amplitude of the frequency sweep rule μ (t) of Chirp pulse carrier equals 0, the FM/Chirp modulated carrier producing by the method has just become treats that modulating baseband signal carries out by the FM modulation system offset of sinusoidal carrier wave of secondary frequency modulation(FM) institute corresponding types the FM modulated carrier that frequency modulation(FM) obtains.
(3) modulator approach two
A modulator approach that realizes the modulated process of making a start in the subclass FM/S-Chirp combination frequency modulation system of aforementioned FM/Chirp combination frequency modulation system, its content is: adopt numerical frequency synthetic (DDS) to produce FM/S-Chirp modulated carrier; Wherein, the frequency tuning word in numerical frequency building-up process (Frequency Tuning Word is called for short FTW) is according to the centre frequency (f of S-Chirp pulse carrier 0) and the frequency change rule (Ω (t)) of stepping frequency change rule (μ (t)) and formation when modulating baseband signal carries out frequency modulation(FM) by the frequency modulation(FM) mode offset of sinusoidal carrier wave of secondary frequency modulation(FM) institute corresponding types jointly determine, that is:
(1) according to the centre frequency (f of S-Chirp pulse carrier 0) obtain the median (FTW of frequency tuning word 0), according to the stepping frequency change rule of S-Chirp pulse carrier (μ (t)), obtain the frequency sweep modulating frequency changing value (FTW with plus or minus value μ(t)), according to the frequency change rule (Ω (t)) of formation when modulating baseband signal carries out frequency modulation(FM) by the frequency modulation(FM) mode offset of sinusoidal carrier wave of secondary frequency modulation(FM) institute corresponding types, obtain the frequency modulation(FM) frequency change value (FTW with plus or minus value Ω(t));
(2) the frequency tuning word (FTW) for generation of FM/S-Chirp modulated carrier is the median (FTW of frequency tuning word 0), frequency sweep modulating frequency changing value (FTW μ) and frequency modulation(FM) frequency change value (FTW (t) Ω(t)) sum, that is:
FTW＝FTW 0+FTW μ(t)+FTW Ω(t) (7)
(3) according to the value of frequency tuning word (FTW), synthetic (DDS) circuit of numerical frequency produces the amplitude value sequence of the sinusoidal carrier waveform in each stepping frequency of FM/S-Chirp modulated carrier, then by digital-to-analog conversion, converts the waveform of FM/S-Chirp modulated carrier to.
Obviously, this modulator approach can only be used the S-Chirp pulse carrier of carrier frequency stepwise change, realization be FM/S-Chirp modulation.Especially, if frequency sweep modulating frequency changing value (FTW μ(t) be) 0, the FM/S-Chirp modulated carrier producing by this modulator approach has just become treats that modulating baseband signal carries out by the frequency modulation(FM) mode offset of sinusoidal carrier wave of secondary frequency modulation(FM) institute corresponding types the FM modulated carrier that FM modulation obtains.
(4) relevant despreading method
A kind of method that in receiving end demodulation part that realizes aforementioned FM/Chirp combination frequency modulation system, relevant despreading is processed, its content is: the FM/Chirp modulated carrier receiving and local Chirp carrier wave are carried out to mixing, extract in the output of mixing with frequently or difference frequency component as relevant despreading result; The frequency sweep rule that local Chirp pulse carrier is used meets the following conditions: the difference frequency component in the output of extracting mixing is during as relevant despreading result, and the frequency sweep rule of local Chirp pulse carrier is identical with the frequency sweep rule comprising in the FM/Chirp modulated carrier receiving and frequency sweep cycle is synchronous; In the output of extracting mixing with frequency component during as relevant despreading result, the frequency sweep rule of local Chirp pulse carrier is synchronizeed with the complementation of frequency sweep rule and the frequency sweep cycle that comprise in the FM/Chirp modulated carrier receiving.
The difference frequency component extracting in the output of mixing of take is example as relevant despreading result, and the principle that realizes of this relevant despreading method is described:
(1) frequency sweep rule, centre frequency identical with the frequency sweep rule comprising in the FM/Chirp modulated carrier receiving is f llocal Chirp pulse carrier can be expressed as
S L(t)＝cos{2π[f L+μ(t-τ)]t} (8)
Wherein, τ is the frequency sweep cycle synchronous error of local Chirp pulse carrier;
(2) by local Chirp pulse carrier S l(t) carry out mixing with the FM/Chirp modulated carrier S (t) receiving, mixing is output as
S 6 ( t ) = S ( t ) S L ( t ) = cos { 2 π [ f 0 + μ ( t ) + Ω ( t ) ] t } cos { 2 π [ f L + μ ( t - τ ) ] t }
= 1 2 cos { 2 π [ f 0 + f L + μ ( t ) + μ ( t - τ ) + Ω ( t ) ] t } - - - ( 9 )
+ 1 2 cos { 2 π [ ( f 0 - f L ) + ( μ ( t ) - μ ( t - τ ) ) + Ω ( t ) ] t }
Wherein, the output S of mixing 6(t) in frequency component be cos{2 π [f 0+ f l+ μ (t)+μ (t-τ)+Ω (t)] t}, difference frequency component is cos{2 π [(f 0-f l)+(μ (t)-μ (t-τ))+Ω (t)] t};
(3) when the frequency sweep cycle of local Chirp pulse carrier is synchronous, τ equals 0, the output S of mixing 6(t) difference frequency component in is
S 7(t)＝cos{2π[(f 0-f L)+(μ(t)-μ(t))+Ω(t)]t}
＝cos{2π[f IF+Ω(t)]t} (10)
In formula, f iFequal f 0with f lpoor.
S in comparison expression (10) 7(t) S (t) and in formula (2) is known, and the two is centre frequency difference, but identical for the frequency change rule of transmission information, therefore can be using the difference frequency component shown in formula (10) as relevant despreading result.In actual applications, the carrier frequency of the difference frequency component of mixing output can not be for negative, if the centre frequency of the FM/Chirp modulated carrier that the center frequency ratio of local Chirp pulse carrier receives is high, follow-up when relevant despreading result is carried out to frequency demodulation acquisition be the reduction sample for the treatment of the anti-phase waveform of modulating baseband signal.
According to formula (9), also can learn: if extract in mixing output with frequency component as relevant despreading result, the frequency sweep rule that requires local Chirp pulse carrier to adopt is synchronizeed with the complementation of frequency sweep rule and the frequency sweep cycle that comprise in the FM/Chirp modulated carrier receiving, in the output of now mixing is to be also similar to the FM modulated carrier form shown in formula (2) with frequency component, follow-up when relevant despreading result is carried out to frequency demodulation acquisition be the reduction sample for the treatment of modulating baseband signal.
In this relevant despreading method, if the amplitude of the frequency sweep rule μ (t) of local Chirp pulse carrier reduces to 0, the local Chirp pulse carrier signal S in formula (8) l(t) be just degenerated to the sinusoidal carrier that does not add modulation; Now, the process of mixing and extraction difference frequency component is just equivalent to carry out down-conversion one time; If the modulated carrier receiving is FM modulated carrier, just in time adopts follow-up frequency demodulation to process from the difference frequency component of mixing output and recover the reduction sample for the treatment of modulating baseband signal being modulated in this FM modulated carrier.
(5) local Chirp pulse carrier frequency sweep cycle synchronous method
The matching used local Chirp pulse carrier frequency sweep cycle synchronous method of a kind of and above-mentioned relevant despreading method, its content is: adopt narrowband intermediate frequency filtering extract in mixing output with frequency component or difference frequency component, the shared bandwidth of FM modulated carrier that the bandwidth of narrowband intermediate frequency filtering equals to make a start and obtains when modulating baseband signal is modulated by the FM modulation system offset of sinusoidal carrier wave of secondary frequency modulation(FM) institute corresponding types in modulated process; Traversal formula in the frequency sweep cycle phase place of local Chirp pulse carrier is between certain phase region is adjusted; On each phase position, keep several frequency sweep cycles, detect during this period the intensity of the output signal of narrowband intermediate frequency filtering; , will there is the position of the phase position of intensity maximum as the frequency sweep cycle synchronous error minimum of local Chirp pulse carrier in the intensity of the output signal of narrowband intermediate frequency filtering on different phase positions relatively.
The difference frequency component that adopts narrowband intermediate frequency filtering to extract in mixing output of take is example, and the principle that realizes of this this locality Chirp pulse carrier frequency sweep cycle synchronous method is described:
(1) when the frequency sweep rule of local Chirp pulse carrier is identical with the frequency sweep rule comprising in the FM/Chirp modulated carrier receiving and during frequency sweep cycle Complete Synchronization, the output S of the mixing shown in formula (9) 6(t) within the difference frequency component in just falls into the bandwidth of narrowband intermediate frequency filtering, it is minimum that the amplitude that narrowband intermediate frequency filtering produces this difference frequency component suppresses, and the intensity of the output signal of narrowband intermediate frequency filtering is maximum;
(2) if the frequency sweep rule of local Chirp pulse carrier is identical with the frequency sweep rule comprising in the FM/Chirp modulated carrier receiving, between frequency sweep cycle, there is synchronous error τ, the output S of the mixing shown in formula (9) 6(t) difference frequency component in is
S 8(t)＝cos{2π[(f 0-f L)+(μ(t)-μ(t-τ))+Ω(t)]t}
＝cos{2π[f IF+(μ(t)-μ(t-τ))+Ω(t)]t} (11)
Because μ (t)-μ (t-τ) value in formula (11) is not equal to 0, the difference frequency component S in formula (11) 8(t) centre frequency can be at f iFnear variation, its bandwidth will surpass the passband of narrowband intermediate frequency filtering, large during the frequency sweep cycle Complete Synchronization of the local Chirp pulse carrier of amplitude-suppression ratio that now narrowband intermediate frequency filtering produces this difference frequency component, thus little during the local Chirp pulse carrier of the strength ratio of the output signal of narrowband intermediate frequency filtering frequency sweep cycle Complete Synchronization.
Hence one can see that, and the difference frequency component in the output of above-mentioned mixing can be used as the synchronous error situation of the frequency sweep cycle that judges local Chirp pulse carrier and the foundation of change direction at the corresponding relation through between the filtered signal strength signal intensity of narrowband intermediate frequency and the frequency sweep cycle synchronous error of local Chirp pulse carrier.
This this locality Chirp pulse carrier frequency sweep cycle synchronous method, if the initial synchronisation for the connection setup stage, the phase place adjustment interval of the frequency sweep cycle of local Chirp pulse carrier is generally one or more frequency sweep cycles, and the stepping amount of its phase place adjustment is chosen as N/mono-(N is greater than 1 positive integer) of frequency sweep cycle; If the synchronization for tracking phase, the phase place of the frequency sweep cycle of local Chirp pulse carrier is adjusted intervally near desirable frequency sweep cycle sync bit, and the stepping amount of its phase place adjustment is also correspondingly less than the phase place that initial ranging adopts when synchronous and adjusts stepping amount.Adopt the frequency sweep cycle synchronous method of this this locality Chirp pulse carrier, can build the parallel synchronous scheme that local Chirp pulse carrier that multichannel has different frequency sweep cycle phase positions detects simultaneously, also can build a road Chirp pulse carrier and adjust to respectively the serial synchronous scheme detecting in different frequency sweep cycle phase places.
(6) beneficial effect
FM/Chirp modulation system provided by the present invention is a kind of by Chirp pulse carrier being carried out to the new method that frequency modulation(FM) and frequency demodulation realize communication.Compare with traditional Chirp modulation, its beneficial effect has: the frequency-modulated wave that FM/Chirp modulated carrier is permanent envelope, and the information of its transmission is carried on carries in wave frequency, and antijamming capability comparison Chirp is stronger when pulse carrier carries out amplitude or phase-modulation; Both C-Chirp pulse carrier can be used, also S-Chirp pulse carrier can be used; While using S-Chirp pulse carrier, be convenient to adopt digital frequency synthesis technology to produce and adjust neatly the parameters such as frequency sweep rule, frequency sweep bandwidth, sweep rate, frequency sweep cycle phase place, multiple S-Chirp pulse carrier easy to use communicates transmission; Adopt relevant despreading and traditional frequency demodulation to recover the reduction sample for the treatment of modulating baseband signal, saved traditional surface acoustic wave (SAW) compressed lines or dispersive delay line that C-Chirp pulse carrier solution timing is used; The FM modulation system that compatibility realizes secondary frequency modulation(FM) institute corresponding types is convenient in FM/Chirp modulation, and can continue to use the C class tuned power amplifier that FM modulation is used, and is convenient to realize high-power transmitting.
Accompanying drawing explanation
Fig. 1 is the implementation model of the FM/Chirp combination frequency modulation system of use in embodiment 1.Wherein, the implementation model of the modulated process of making a start shown in Fig. 1 (a), the 11st, Chirp pulse carrier produces circuit, the 12nd, the warbled frequency modulator of secondary; Fig. 1 (b) is the implementation model of receiving end demodulating process, the 13rd, and relevant despreader, the 14th, the FM demodulator of the frequency modulation(FM) mode of secondary frequency modulation(FM) institute corresponding types.
Figure 2 shows that the FM/Chirp modulator model building according to modulator approach one of using in embodiment 2.Wherein, the 21st, FM modulator, the 22nd, Chirp pulse carrier produces circuit, the 23rd, frequency mixer, the 24th, band pass filter.
Figure 3 shows that the FM/S-Chirp modulator model building according to modulator approach two of using in embodiment 3.Wherein, the 31st, adder, the 32nd, numerical frequency combiner circuit, the 33rd, digital/analog converter.
Figure 4 shows that the relevant despreader model building according to relevant despreading method using in embodiment 4.Wherein, the 41st, local Chirp pulse carrier produces circuit, the 42nd, frequency mixer, the 43rd, narrowband intermediate frequency filter.
Figure 5 shows that the implementation procedure schematic diagram of the local Chirp pulse carrier frequency sweep cycle synchronous method using in embodiment 5.Wherein, Fig. 5 (a) is depicted as the frequency change rule of the analog linearity FM/S-Chirp modulated carrier receiving, Fig. 5 (b) is depicted as the frequency change rule of local S-Chirp pulse carrier, and Fig. 5 (c) is depicted as the intensity of the output signal of narrowband intermediate frequency filtering.
Embodiment
Embodiment 1
The present embodiment is for describing the implementation procedure of FM/Chirp combination frequency modulation system provided by the invention.The implementation model that adopts FM/Chirp combination frequency modulation system as shown in Figure 1, its course of work is as follows:
In the modulated process of making a start, Chirp pulse carrier produces circuit (11) and produces Chirp pulse carrier; The warbled frequency modulator of secondary (12) will treat that modulating baseband signal carries out secondary frequency modulation(FM) to Chirp pulse carrier and obtains FM/Chirp modulated carrier.In receiving end demodulating process, relevant despreader (13) is to the FM/Chirp modulated carrier the receiving despreading of being correlated with, the frequency sweep rule comprising in the FM/Chirp modulated carrier that removal receives, obtains and only comprises the relevant despreading result for the frequency change rule of transmission information; Then, adopt FM demodulator (14) demodulation from the relevant despreading result of relevant despreader (13) output of the frequency modulation(FM) mode of secondary frequency modulation(FM) institute corresponding types to recover the reduction sample for the treatment of modulating baseband signal.
The modulator approach one simultaneously providing in the present invention can be used for realizing the modulated process of making a start shown in Fig. 1 (a); When actual FM/Chirp combination frequency modulation system is FM/S-Chirp when modulation, the modulator approach two simultaneously providing in the present invention also can be used for equivalence and realizes the modulated process of making a start shown in Fig. 1 (a); The relevant despreading method simultaneously providing in the present invention can be used for realizing the performed relevant despreading processing of relevant despreader (13) of Fig. 1 (b); The local Chirp pulse carrier frequency sweep cycle synchronous method simultaneously providing in the present invention, can support the use to the relevant despreading method providing in the present invention simultaneously, for realizing initial synchronisation and synchronous tracking of relevant despreading process.
Embodiment 2
The present embodiment is for describe the implementation procedure of the modulator approach one that the present invention provides simultaneously.Adopt the modulator model building according to modulator approach one as shown in Figure 2, its course of work is as follows:
FM modulator (21) by the frequency modulation(FM) mode of secondary frequency modulation(FM) institute corresponding types with treating that modulating baseband signal offset of sinusoidal carrier wave carries out frequency modulation(FM) and obtains FM modulated carrier; Chirp pulse carrier produces circuit (22) and produces Chirp pulse carrier; By frequency mixer (23), FM modulated carrier and Chirp pulse carrier are carried out to mixing, and adopt band pass filter (24) extract frequency mixer (23) output with frequently or difference frequency component as relevant despreading result.
The operation principle of this modulator model can, referring to the relevant description to this modulator approach in specification, not repeat them here.The modulation pattern of making a start in modulator model in Fig. 2 and Fig. 1 (a) is compared known, the acting in conjunction of the FM modulator (21) in Fig. 2, frequency mixer (23) and band pass filter (24) is equivalent to the warbled modulator of secondary (12) shown in Fig. 1 (a).
Embodiment 3
The present embodiment is for describe the implementation procedure of the modulator approach two that the present invention provides simultaneously.Adopt the modulator model building according to modulator approach two as shown in Figure 3, its course of work is as follows:
Adder (31) is by the median (FTW of frequency tuning word 0), frequency sweep modulating frequency changing value (FTW μ) and frequency modulation(FM) frequency change value (FTW (t) Ω(t)) be added, obtain the frequency tuning word (FTW) for generation of FM/S-Chirp modulated carrier; According to frequency tuning word (FTW), numerical frequency combiner circuit (32) produces the amplitude value sequence of the sinusoidal carrier waveform in each stepping frequency of FM/S-Chirp modulated carrier, then by digital/analog converter (33), converts the waveform of FM/S-Chirp modulated carrier to.
In the present embodiment, require frequency modulation(FM) frequency change value FTW Ω(t) be digital form.When the warbled type of secondary is analog linearity frequency modulation(FM), need to will treat that the analog baseband signal waveform that modulating baseband signal obtains after through preliminary treatment such as low-pass filtering, preemphasis, amplitude amplification, amplitude limits carries out A/D conversion, and produce frequency modulation(FM) frequency change value FTW according to the corresponding relation between A/D result and modulated carrier frequency change amplitude Ω(t); Similarly, when the warbled type of secondary is when need to be between different digital code element realizing the digital frequency modulation (as GMSK) of modulated carrier frequency smooth change during transition, also digital baseband signal to be modulated can be carried out to A/D conversion at the analog baseband signal obtaining afterwards through pre-distortion (as gaussian filtering), and produce frequency modulation(FM) frequency change value FTW according to the corresponding relation between A/D result and modulated carrier frequency change amplitude Ω(t).Certainly, if the warbled type of secondary is digital frequency modulation and the smooth change problem that does not need to consider modulated carrier frequency between different digital code element during transition, can be directly according to treating that the corresponding frequency offset of modulation digital base band symbol produces frequency modulation(FM) frequency change value FTW Ω(t).
Embodiment 4
The present embodiment is for describe the implementation procedure of the relevant despreading method that the present invention provides simultaneously.Adopt the relevant despreader model building according to relevant despreading method as shown in Figure 4, in this relevant despreader model, adopt narrowband intermediate frequency filter (43) to extract relevant despreading result.Its course of work is as follows:
Local Chirp pulse carrier produces circuit (41) and produces the local Chirp pulse carrier that frequency sweep rule type meets the requirements and frequency sweep cycle is synchronous; The local Chirp pulse carrier that the FM/S-Chirp modulated carrier receiving and local Chirp pulse carrier is produced to circuit (41) output by frequency mixer (42) carries out mixing, adopt narrowband intermediate frequency filter (43) extract in mixing output with frequently or difference frequency component as relevant despreading result.
The operation principle of this relevant despreader model can, referring to the relevant description to this relevant despreading method in specification, not repeat them here.
Embodiment 5
The present embodiment is for describe the implementation procedure of the local Chirp pulse carrier frequency sweep cycle synchronous method that the present invention provides simultaneously.Adopt relevant despreader model as shown in Figure 4; Narrowband intermediate frequency filtering (43) is for extracting relevant despreading result, the shared bandwidth of FM modulated carrier that its filtering bandwidth equals to make a start and obtains when modulating baseband signal carries out FM modulation by the frequency modulation(FM) mode offset of sinusoidal carrier wave of secondary frequency modulation(FM) institute corresponding types in modulated process.
Suppose that the FM/Chirp modulated carrier that receives keeps amplitude stabilization realizing synchronous searching period.Jiang Yi road Chirp pulse carrier is adjusted to respectively in different frequency sweep cycle phase places and is detected (being serial synchronous scheme), and as shown in Figure 5, implementation step is as follows for its process that realizes initial synchronisation:
(1) take the stepping amount that N/mono-(N is as being greater than 2 positive integer) of frequency sweep cycle of local Chirp pulse carrier is phase place adjustment adjusts (in situation as shown in Figure 5, N=7) the frequency sweep cycle phase place of local Chirp pulse carrier;
(2) after each frequency sweep cycle phase place adjustment, keep several frequency sweep cycles, detect during this period the intensity of the output signal of narrowband intermediate frequency filter (43);
(3) the frequency sweep cycle phase place that local Chirp pulse carrier is produced to the local Chirp pulse carrier of circuit (41) output is adjusted N time to direction leading or that lag behind;
(4), by comparing the intensity detection result of the output signal of narrowband intermediate frequency filter (41) in this N time phase place adjustment process, will occur that the phase place (when the 5th phase place is adjusted as shown in Figure 5) of maximum of intensity is as the position of the frequency sweep cycle synchronous error minimum of local Chirp pulse carrier;
(5) the frequency sweep cycle phase place that local scanning frequency pulse is produced to the local Chirp pulse carrier of circuit (41) output is adjusted on the phase position of frequency sweep cycle synchronous error minimum, and the frequency sweep cycle of realizing local Chirp pulse carrier is synchronous.
In actual applications, in order to improve the reliability of initial synchronisation, above-mentioned initial synchronization can be repeated several times and judge according to the synchronous testing result of statistics the position of real local Chirp pulse carrier frequency sweep cycle synchronous error minimum.
Tracking phase after initial synchronisation is set up, also can copy above-mentioned synchronous method to realize the frequency sweep cycle synchronization of local Chrp pulse carrier.At tracking phase, can adopt the frequency sweep cycle phase place less than the initial synchronisation stage to adjust stepping amount, near the frequency sweep cycle phase place of local Chirp pulse carrier traversal formula desirable sync bit is adjusted, the output signal of narrowband intermediate frequency filter (41) of usining equally occurs that the phase position of maximum of intensity is as the position of the frequency sweep cycle synchronous error minimum of local Chirp pulse carrier, then the frequency sweep cycle phase place that local scanning frequency pulse is produced to the local Chirp pulse carrier of circuit (41) output is adjusted on the position of frequency sweep cycle synchronous error minimum, thereby realize the frequency sweep cycle synchronization of the local Chirp pulse carrier of tracking phase.

Claims (8)

1. a FM/Chirp combination frequency modulation system, make a start modulation and receiving end demodulation two parts, consist of, the modulation of making a start is to treat that modulating baseband signal carries out the formed combination frequency modulated carrier of secondary frequency modulation(FM) as signal of communication to a frequency modulation(FM) carrier wave; Receiving end demodulation is to recover according to the frequency change rule that modulating baseband signal carries out adding to a frequency modulation(FM) carrier wave in secondary frequency modulation procedure to frequency modulation(FM) carrier wave for the treatment of comprising in the combination frequency modulated carrier receiving the reduction sample for the treatment of modulating baseband signal; It is characterized in that:
A described frequency modulation(FM) carrier wave is Chirp pulse carrier;
Describedly will treat that modulating baseband signal carries out secondary frequency modulation(FM) to a frequency modulation(FM) carrier wave, in this process, add to the frequency change rule of a frequency modulation(FM) carrier wave with adopt identical when modulating baseband signal is modulated by the frequency modulation(FM) mode offset of sinusoidal carrier wave of secondary frequency modulation(FM) institute corresponding types, add to the frequency change rule of sinusoidal carrier identical;
The frequency change rule that modulating baseband signal carries out adding to a frequency modulation(FM) carrier wave in secondary frequency modulation procedure to frequency modulation(FM) carrier wave for the treatment of comprising in the combination frequency modulated carrier that described basis receives recovers the reduction sample for the treatment of modulating baseband signal, its implementation procedure is: by relevant despreading, processed and removed the frequency sweep rule comprising in the combination frequency modulated carrier receiving, adopt the frequency demodulation processing of the frequency modulation(FM) mode of secondary frequency modulation(FM) institute corresponding types to recover the reduction sample for the treatment of modulating baseband signal from relevant despreading result.
2. FM/Chirp combination frequency modulation system according to claim 1, it is characterized in that: the described Chirp pulse carrier as a frequency modulation(FM) carrier wave, the frequency sweep cycle length of its use meets the following conditions: when when modulating baseband signal is analog signal, frequency sweep cycle length is less than the single Cycle Length for the treatment of the highest effective frequency component in modulating baseband analog signal; When modulating baseband signal is digital signal, frequency sweep cycle length is less than the single duration length for the treatment of modulating baseband numeric code.
3. FM/Chirp combination frequency modulation system according to claim 1, it is characterized in that: the described Chirp pulse carrier as a frequency modulation(FM) carrier wave, the frequency sweep rule of its use has monotone increasing, two kinds of citation forms of dull decline and passes through by these two kinds of citation forms the combining forms that are spliced to form.
4. FM/Chirp combination frequency modulation system according to claim 3, it is characterized in that: the described Chirp pulse carrier as a frequency modulation(FM) carrier wave, monotone increasing in its frequency sweep rule and dull decline change, can change by linear or nonlinear rule, can change by continuous or step-type mode.
5. a modulator approach that realizes the modulated process of making a start in FM/Chirp combination frequency modulation system described in claim 1, with treating modulating baseband signal, by the frequency modulation(FM) mode offset of sinusoidal carrier wave of secondary frequency modulation(FM) institute corresponding types, modulate and obtain FM modulated carrier, this FM modulated carrier and another road carrier wave are carried out to mixing, extract in mixing output with frequently or difference frequency component as the FM/Chirp modulated carrier as signal of communication; It is characterized in that:
Described another road carrier wave is Chirp pulse carrier; The described FM/Chirp modulated carrier as signal of communication, the frequency sweep rule of its actual use is: in extracting mixing output with frequency component during as FM/Chirp modulated carrier as signal of communication, use be the identical frequency sweep rule of frequency sweep rule of using with Chirp pulse carrier; Difference frequency component in extracting mixing output is during as FM/Chirp modulated carrier as signal of communication, if the centre frequency of FM modulated carrier is lower than the centre frequency of Chirp pulse carrier, what use is the identical frequency sweep rule of frequency sweep rule of using with Chirp pulse carrier; If the centre frequency of FM modulated carrier is higher than the centre frequency of Chirp pulse carrier, what use is the frequency sweep rule of the frequency sweep rule complementation used with Chirp pulse carrier.
6. a modulator approach that realizes the modulated process of making a start in the subclass FM/S-Chirp combination frequency modulation system of FM/Chirp combination frequency modulation system described in claim 1, adopts the synthetic DDS of numerical frequency to produce FM/S-Chirp modulated carrier; It is characterized in that: the frequency tuning word FTW in numerical frequency building-up process is according to the centre frequency f of S-Chirp pulse carrier 0, the stepping frequency change rule μ (t) of S-Chirp pulse carrier and the frequency change rule Ω (t) of formation when modulating baseband signal carries out frequency modulation(FM) by the frequency modulation(FM) mode offset of sinusoidal carrier wave of secondary frequency modulation(FM) institute corresponding types determine jointly, that is:
(1) according to the centre frequency f of S-Chirp pulse carrier 0obtain the median FTW of frequency tuning word 0, according to the stepping frequency change rule μ (t) of S-Chirp pulse carrier, obtain the frequency sweep modulating frequency changing value FTW with plus or minus value μ(t), according to the frequency change rule Ω (t) of formation when modulating baseband signal carries out frequency modulation(FM) by the frequency modulation(FM) mode offset of sinusoidal carrier wave of secondary frequency modulation(FM) institute corresponding types, obtain the frequency modulation(FM) frequency change value FTW with plus or minus value Ω(t);
(2) the frequency tuning word FTW for generation of FM/S-Chirp modulated carrier is the median FTW of frequency tuning word 0, frequency sweep modulating frequency changing value FTW μand frequency modulation(FM) frequency change value FTW (t) Ω(t) sum, i.e. FTW=FTW 0+ FTW μ(t)+FTW Ω(t);
(3), according to the value of frequency tuning word FTW, by numerical frequency, synthesize the amplitude value sequence that DDS produces the sinusoidal carrier waveform of FM/S-Chirp modulated carrier on each step frequency.
7. FM/Chirp combination frequency modulation system according to claim 1, the method that in its receiving end demodulating process, relevant despreading is processed comprises: the FM/Chirp modulated carrier receiving and local carrier are carried out to mixing, extract in the output of mixing with frequently or difference frequency component as relevant despreading result, it is characterized in that: local carrier is wherein local Chirp pulse carrier, the frequency sweep rule that this this locality Chirp pulse carrier is used meets the following conditions: the difference frequency component in the output of extracting mixing is during as relevant despreading result, the frequency sweep rule of local Chirp pulse carrier is identical with the frequency sweep rule comprising in the FM/Chirp modulated carrier receiving and frequency sweep cycle is synchronous, in the output of extracting mixing with frequency component during as relevant despreading result, the frequency sweep rule of local Chirp pulse carrier is synchronizeed with the complementation of frequency sweep rule and the frequency sweep cycle that comprise in the FM/Chirp modulated carrier receiving.
8. FM/Chirp combination frequency modulation system according to claim 7, in its receiving end demodulating process, relevant despreading is processed matching used local Chirp pulse carrier frequency sweep cycle synchronous method and is comprised: adopt narrowband intermediate frequency filtering extract in mixing output with frequency component or difference frequency component, the shared bandwidth of FM modulated carrier that the bandwidth of narrowband intermediate frequency filtering equals to make a start and obtains when modulating baseband signal carries out frequency modulation(FM) by the frequency modulation(FM) mode offset of sinusoidal carrier wave of secondary frequency modulation(FM) institute corresponding types in modulated process; Traversal formula in the frequency sweep cycle phase place of local Chirp pulse carrier is between certain phase region is adjusted; On each phase position, keep several frequency sweep cycles, detect during this period the intensity of the output signal of narrowband intermediate frequency filtering; , will there is the position of the frequency sweep cycle phase position of intensity maximum as the frequency sweep cycle synchronous error minimum of local Chirp pulse carrier in the intensity of the output signal of narrowband intermediate frequency filtering on different phase positions relatively.
CN201110041059.1A 2010-05-07 2011-02-21 FM/Chirp composite frequency modulation mode and implementation method thereof Expired - Fee Related CN102238120B (en)

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