CN106354949B - Compensation data method based on Mallat algorithm and pre-distortion technology - Google Patents
Compensation data method based on Mallat algorithm and pre-distortion technology Download PDFInfo
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Abstract
The distortion data compensation method based on Mallat algorithm and pre-distortion technology that the present invention provides a kind of, first by known signal V0By receiving system, discrete decomposition is carried out to the signal that receiver receives using Mallat algorithm, obtains receiving signal VtHigh and low frequency ingredient, then two interpolation reconstructions are carried out to it, and compare to obtain the noise or distorted waveform introduced due to reception system with original signal, finally by the inverse function f of its transfer function‑1It is placed in predistorter, as reception signal V (t0) successively after predistorter and reception system, due to the synergistic effect of circuit, the error and distortion that reception system introduces will be pre-distorted device counteracting, obtain the available signal V (t for approaching original received signal1)；The present invention, by the error and distortion that generate after the receptions systems such as antenna, simplifies realization process, restores and maintain reception signal message, improve the robustness and reliability of subsequent analysis for thermal compensation signal.
Description
Technical field
The invention belongs to the distorted signal compensation method fields in signal processing, especially suitable for being by receiving to signal
The compensation of error is introduced after system.
Background technique
Currently, electromagnetic environment reproduction generation technique has become the research emphasis and hot spot of electromagnetic environment simulation field.Such as
The electromagnetic environment in what accurate capture battlefield space simultaneously analyzes it, edits, reconstructs, reappears, and has become researcher
The research contents paid much attention to.And with the high speed development of high-power equipment and microelectric technique, battlefield space electromagnetic environment is cured
Add complexity.Minimum electromagnetic interference may can the reception signal to equipment cause serious interference, to follow-up signal analyze benefit
With can all generate large effect.In actual measurement reception system, due to antenna factor, cable attenuation, probe transfger impedance
And the influence of the factors such as ambient enviroment, certain deviation and distortion can be caused to the waveform received.To influence later period base
In radar target recognition and the electromagnetic environment reproduction for receiving signal, very big influence can be caused on further evaluation analytic process,
To reduce the accuracy of target identification, disaster even will cause in some special circumstances.
Currently, about distorted signal compensation technology have very much, as robust control method, vector quantization method, space-time facture,
Transmission function revised law, wavelet analysis method etc..But the algorithm of these methods is all complex, needs to understand reception system in detail
After parameters, to carry out de-noising, specific implementation is more difficult.Mallat algorithm utilizes two interpolation theories, can not know
Road carries out distorted waveform under the premise of receiving system parameter decomposed and reconstituted.It is linear that pre-distortion technology is initially applied to power amplifier output
In change technology, refer under the premise of not influencing power amplification efficiency, predistortion module is added, the nonlinear object of power amplifier is mended
It repays, to reach the linearisation of output signal.The especially application of self-adapted pre-distortion technology, can be with tracing compensation due to environment
Error caused by temperature and humidity, vibration, device latent failure, signal drift etc..And in terms of signal noise silencing, it is not found pre-
The application of anti-aliasing techniques.
Summary of the invention
The distortion data compensation method based on Mallat algorithm and pre-distortion technology that the present invention provides a kind of, for compensating
Signal passes through the error and distortion generated after the receptions systems such as antenna.
In order to overcome the deficiencies of the prior art, the technical solution adopted by the present invention is that:
A kind of distortion data compensation method based on Mallat algorithm and pre-distortion technology, first by known signal V0Pass through
Reception system carries out discrete decomposition to the signal that receiver receives using Mallat algorithm, obtains receiving signal VtHigh frequency
And low-frequency component, then two interpolation reconstructions are carried out to it, and with original signal V0Comparison obtains the noise introduced due to reception system
Or distorted waveform, finally by the inverse function f of its transfer function-1It is placed in predistorter, as reception signal V (t0) successively by pre-
After distorter and reception system, due to the synergistic effect of circuit, the error and distortion that reception system introduces will be pre-distorted device
It offsets, obtains approaching original received signal V (t0) available signal V (t1).The present invention only needs to handle i.e. reception signal
The error that can obtain the introducing of reception system, does not need additionally to receive system information, maximumlly simplifies realization process, preferably
Restore and maintain reception signal message, improves the robustness and reliability of subsequent analysis.
Step of the invention is as follows:
The first step, to reception signal VtIt is pre-processed
Using two-scale equationMulti-sampling rate filter group based on multiresolution analysis
Decomposed signal can be discrete smooth component and discrete details coefficients signal decomposition.
Second step, discrete signal reconstruct
Signal decomposition is discrete smooth component and discrete details coefficients, the Mallat decomposition algorithm of available recursion are as follows:
cj,kFor discrete smooth component, dj,kFor discrete details coefficients, and the scale coefficient and wavelet systems of respectively jth layer
Number, h0And h1Respectively low pass and high-pass filtering coefficient, the low-frequency information and high-frequency information of difference output signal.Above formula shows it
Summation can be weighted through wave filter by -1 layer of jth of scale coefficient to obtain.
Therefore signal is restructural are as follows:
h* 0And h* 1The respectively inverse transformation of low pass and high-pass filtering coefficient is orthogonal filter group, output signal bandwidth
It is the half of original signal bandwidth, sampling rate also halves therewith.Downward arrow and upward arrow respectively indicate two extractions
With two interpolation, respectively correspond primary every corresponding sample size sampling or interpolation, data length also halves and increase therewith one
Times, to restore to original signal strength.The decomposition of signal and reconstruct inverse process each other.During signal reconstruction, after interpolation
Data need to pass through low pass and high pass filter, processes, in order to which the waveform after zero padding is done smoothing processing.
Third step, distorted signal obtain
Signal after reconstruct is compared with original signal, can be obtained signal interference suffered after reception system and
Noise signal f (t).
4th step, pre-distortion
The transmission characteristic of pre-distortion module is the noise distortion signal that reception system introduces obtained in third step
Inverse function, after Unknown worm signal successively passes through predistortion and primary reception module, output signal just only remaining linear increasing
Benefit thereby realizes the elimination for entering noise to reception system.
Due to the adoption of the technical scheme as described above, superiority of the invention is:
The present invention only needs to carry out processing to reception signal that the error of reception system introducing can be obtained, and does not need additionally to connect
System information is received, realization process is maximumlly simplified, preferably restores and maintain reception signal message, improve subsequent point
The robustness and reliability of analysis；Defect existing for the two methods of background technique is overcome, by pre-distortion technology and wavelet analysis
Two technologies combine, and the transmission function that reception system can be introduced into error is placed in predistorter, it is only necessary to pass through one
Priori waveform carries out handling the error that the introducing of reception system can be obtained to signal is received, and does not need additionally to receive system information,
Realization process maximumlly is simplified, preferably restores and maintain reception signal message.And this combination technology is through studying
Prove that there is good de-noising compensation effect.
Detailed description of the invention
The decomposition and reconstruction schematic diagram of Fig. 1 signal.
Fig. 2 original signal and distorted signal.
Restore signal after Fig. 3 reconstruct.
Fig. 4 checking signal (1) and reconstruction signal compare.
Fig. 5 checking signal (2) and reconstruction signal compare.
Compensation principle figure Fig. 6 of the invention.
Specific embodiment
Technical solution for a better understanding of the present invention, the following contents will make embodiments of the present invention in conjunction with attached drawing
It further describes.
As shown in Fig. 1,2,3,4,5,6, a kind of distortion data compensation method based on Mallat algorithm and pre-distortion technology,
First by known signal V0By receiving system, discrete decomposition is carried out to the signal that receiver receives using Mallat algorithm,
It obtains receiving signal VtHigh and low frequency ingredient, then two interpolation reconstructions are carried out to it, and with original signal V0Comparison obtain due to
The noise or distorted waveform that reception system introduces, finally by the inverse function f of its transfer function-1It is placed in predistorter, works as reception
Signal V (t0) successively after predistorter and reception system, due to the synergistic effect of circuit, receive error that system introduces and
Distortion will be pre-distorted device counteracting, obtain approaching original received signal V (t0) available signal V (t1).The present invention only needs pair
It receives signal to carry out handling the error that the introducing of reception system can be obtained, does not need additionally to receive system information, maximized letter
Change realization process, preferably restored and maintain reception signal message, improves the robustness and reliability of subsequent analysis.
The specific steps of which are as follows:
The first step, to reception signal VtIt is pre-processed
Using two-scale equationMulti-sampling rate filter group based on multiresolution analysis
Decomposed signal can be discrete smooth component and discrete details coefficients signal decomposition.
Second step, discrete signal reconstruct
Signal decomposition is discrete smooth component and discrete details coefficients, the Mallat decomposition algorithm of available recursion are as follows:
cj,kFor discrete smooth component, dj,kFor discrete details coefficients, and the scale coefficient and wavelet systems of respectively jth layer
Number, h0And h1Respectively low pass and high-pass filtering coefficient, the low-frequency information and high-frequency information of difference output signal.Above formula shows it
Summation can be weighted through wave filter by -1 layer of jth of scale coefficient to obtain.
Therefore signal is restructural are as follows:
h* 0And h* 1The respectively inverse transformation of low pass and high-pass filtering coefficient is orthogonal filter group, output signal bandwidth
It is the half of original signal bandwidth, sampling rate also halves therewith.Downward arrow and upward arrow respectively indicate two extractions
With two interpolation, respectively correspond primary every corresponding sample size sampling or interpolation, data length also halves and increase therewith one
Times, to restore to original signal strength.The decomposition of signal and reconstruct inverse process each other.During signal reconstruction, after interpolation
Data need to pass through low pass and high pass filter, processes, in order to which the waveform after zero padding is done smoothing processing.
Third step, distorted signal obtain
Signal after reconstruct is compared with original signal, can be obtained signal interference suffered after reception system and
Noise signal f (t).
4th step, pre-distortion
The transmission characteristic of pre-distortion module is the noise distortion signal that reception system introduces obtained in third step
Inverse function, after Unknown worm signal successively passes through predistortion and primary reception module, output signal just only remaining linear increasing
Benefit thereby realizes the elimination for entering noise to reception system.
Fig. 1 is the decomposition and reconstruction schematic diagram of signal, and Fig. 1 (a) is signal decomposition, and Fig. 1 (b) is signal reconstruction.h* 0And h* 1
The respectively inverse transformation of low pass and high-pass filtering coefficient is orthogonal filter group, and output signal bandwidth is original signal bandwidth
Half, sampling rate also halves therewith.Downward arrow and upward arrow respectively indicate two extractions and two interpolation, right respectively
Should be primary every corresponding sample size sampling or interpolation, data length also halves and doubles therewith, to restore to original
Beginning signal length.Original signal is by low pass and high-pass filter and carries out two extraction processing, obtain original signal low frequency and
High-frequency information.
Fig. 2 is into the original signal (a) before reception system and the signal (b) being interfered after reception system.Tool
Body setting are as follows: visualize algorithmic procedure more, with y=10cos (2 π g50t) e-30tFor, as entrance reception system
Preceding original signal is decomposed and is reconstructed, as shown in Fig. 2 (a).After reception system, due to its nonlinear characteristic original signal
On specific sections in can be superimposed with noise, superposition section is 60s-70s.Signal in this section generates a degree of mistake
Very, as shown in Fig. 2 (b).It should be noted that noise superposition section can be random, comparison in terms of being intended merely to here, choosing
60s-70s is taken.
Fig. 3 is the signal after reconstruct.By it compared with original signal Fig. 2 (a), it will appear deviation after reconstruct, but
The deviation of signal and original signal is smaller after can reconstructing as we can see from the figure, and compared with original signal, can restore extremely substantially
Original amplification level.This illustrates that Mallat decomposition algorithm restores to be effective for distorted signal.
Fig. 4 is technical identification.Select y=10cos (2 π g90t) e similar with original signal-30tTo carry out predistortion
The verifying of technology.The compensation of distortion data is realized by the method that pre-distortion technology and wavelet analysis combine.It can be seen by Fig. 4
Out, restore signal and origin authentication signal coincide substantially.
Fig. 5 is technical identification.Checking signal is y=10 (sin (8 π t)+sin (12 π t)+sin (58 π t)), in 60s-70s
Additive White Noise in section is distorted checking signal generation to a certain degree, is compensated by the method that this patent provides.By scheming
5 as it can be seen that recovery signal and origin authentication signal coincide substantially.
By the verifying of Fig. 4 and Fig. 5, illustrate the compensation data method herein based on wavelet algorithm and pre-distortion technology
It can satisfy the requirement of distorted signal compensating and restoring.
Claims (1)
1. a kind of distortion data compensation method based on Mallat algorithm and pre-distortion technology, it is characterized in that: first by known letter
Number V0By receiving system, discrete decomposition is carried out to the signal that receiver receives using Mallat algorithm, obtains receiving signal Vt
High and low frequency ingredient, then two interpolation reconstructions are carried out to it, and with original signal V0Comparison obtains introducing due to reception system
Noise or distorted waveform, finally by the inverse function f of its transfer function-1It is placed in predistorter, as reception signal V (t0) successively
After predistorter and reception system, due to the synergistic effect of circuit, the error and distortion for receiving system introducing will be pre-
Distorter is offset, and obtains approaching original received signal V (t0) available signal V (t1)；The specific steps of which are as follows:
The first step, to reception signal VtIt is pre-processed
Using two-scale equationMulti-sampling rate filter group based on multiresolution analysis decomposes letter
Number, it is discrete smooth component and discrete details coefficients signal decomposition；
Second step, discrete signal reconstruct
Signal decomposition is discrete smooth component and discrete details coefficients, obtains the Mallat decomposition algorithm of recursion are as follows:
cj,kFor discrete smooth component, dj,kFor discrete details coefficients, but the scale coefficient and wavelet coefficient of respectively jth layer, h0With
h1Respectively low pass and high-pass filtering coefficient, the low-frequency information and high-frequency information of difference output signal；Above formula shows it by jth -1
The scale coefficient of layer is weighted summation through wave filter and obtains；
Therefore signal reconstruction are as follows:
h* 0And h* 1The respectively inverse transformation of low pass and high-pass filtering coefficient, is orthogonal filter group, and output signal bandwidth is
The half of original signal bandwidth, sampling rate also halve therewith；Two extractions and two interpolation are respectively corresponded every corresponding sample size
Sampling or interpolation are primary, and data length also halves and doubles therewith, to restore to original signal strength；The decomposition of signal
With reconstruct inverse process each other；During signal reconstruction, the data after interpolation need to pass through low pass and high pass filter, processes, it is therefore an objective to
In order to which the waveform after zero padding is done smoothing processing；
Third step, distorted signal obtain
Signal after reconstruct is compared with original signal, obtains signal interference suffered after reception system and noise letter
Number f (t)；
4th step, pre-distortion
The transmission characteristic of pre-distortion module is the anti-letter for the noise distortion signal that reception system introduces obtained in third step
Number, after Unknown worm signal successively passes through predistortion and primary reception module, output signal just only remaining linear gain, this
Sample is achieved that the elimination for entering noise to reception system.
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