CN114928414B - Measurement and calibration method for sensing matrix coefficient of modulation broadband converter - Google Patents
Measurement and calibration method for sensing matrix coefficient of modulation broadband converter Download PDFInfo
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- CN114928414B CN114928414B CN202210358916.9A CN202210358916A CN114928414B CN 114928414 B CN114928414 B CN 114928414B CN 202210358916 A CN202210358916 A CN 202210358916A CN 114928414 B CN114928414 B CN 114928414B
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Abstract
The invention provides a measurement and calibration method of a sensing matrix coefficient of a modulation broadband converter, which comprises the following steps of periodic pseudo-random sequence signal generation, test signal sequence generation, periodic sequence signal generation, mixing filtering, conversion, spectrum value calculation and actual measurement sensing matrix generation. Firstly, a group of test signal sequences are generated, input test signal sequences and periodic pseudo-random sequence signals are subjected to frequency mixing and a low-pass filter, after synchronous sampling, a sensing matrix is obtained through parameter estimation, and the measured sensing matrix is used for reconstructing a multiband signal to obtain a reconstructed signal. The perception matrix obtained by the method has high precision, reduces the repetition times and greatly improves the reconstruction probability and efficiency.
Description
Technical Field
The invention relates to the technical field of communication, in particular to a method for measuring and calibrating a sensing matrix coefficient of a modulation broadband converter.
Background
The compressed sensing theory is proposed, so that the system can sample and accurately reconstruct the broadband sparse signal at a rate far lower than the Nyquist sampling frequency, and the sampling rate of the system and the storage and transmission pressure of the signal processing equipment are greatly reduced. Is widely applied to the fields of image processing and signal acquisition.
The modulation wideband converter Modulated Wideband Converter (MWC) is a multi-channel undersampling system designed based on compressed sensing theory, and the target signal is a sparse multi-band signal and is applied to the spectrum sensing of the wideband signal. A typical modulation bandwidth converter system is shown in fig. 1, and consists of a plurality of channels in parallel, each channel consisting of a mixer, a low pass filter, and an analog to digital converter. The signal enters each channel and is mixed with a group of pseudo-random periodic sequences, and then the high-frequency part is filtered by a low-pass filter, so that the signal can be sampled at a low speed. And finally reconstructing the original input signal through the perception matrix.
In an actual MWC system, due to certain differences between an actual physical element and an ideal simulation model thereof, such as nonlinear characteristics of an analog multiplier, non-ideal characteristics of a low-pass filter, etc., the non-ideal characteristics of the actual devices will affect the reconstruction effect of the system, and finally the spectrum monitoring performance is greatly reduced. Therefore, the error correction of the sensing matrix becomes a problem that the MWC system needs to face in practical application, however, the existing single-tone correction method needs repeated measurement for many times to obtain the practical sensing matrix, and the efficiency is low. Therefore, there is a need for a more efficient method for measuring and calibrating the sensing matrix coefficients of a modulation bandwidth converter.
Disclosure of Invention
The invention provides a measurement and calibration method for the sensing matrix coefficient of a modulation bandwidth converter, which aims to solve the problems of low accuracy and low efficiency of the existing signal reconstruction method and the single-tone signal measurement method caused by low accuracy of the sensing matrix obtained by a theoretical calculation method adopted in the existing modulation bandwidth converter system. The perception matrix obtained by the method has high precision, reduces the repetition times and greatly improves the reconstruction probability and efficiency.
The invention provides a method for measuring and calibrating a sensing matrix coefficient of a modulation broadband converter, which is characterized by comprising the following steps of: the method comprises the following steps:
s1, generating a periodic pseudo-random sequence signal: the pseudo-random sequence generator generates a periodic pseudo-random sequence signal f l Andl＝1，2，…，L 0 ，L 0 to shift all spectral components in the input signal x (t) to F s ＝[-f s /2，f s /2]The smallest integer in f s Is the sampling frequency;
s2, generating a test signal sequence: the signal generating module generates a test signal sequence x T Test signal sequence f p Is a periodic pseudo-random sequence frequency;
s3, generating a periodic sequence signal: generating a periodic sequence signal p required for mixing i (t)，p i (t)＝a ik ，a ik ∈{+1，-1}；
S4, mixing filtering: test signal sequence x T The test signal sequence x is output to the mixer after being split into m paths by the splitter T And periodic pseudo-random sequence signal f l Andmixing frequency, filtering by a low-pass filter, and inputting to a synchronous sampling unit for sampling to obtain a sampling signal y i [n]N=1, 2, … N, N being the number of samples;
s5, conversion: the received sampled signal y i [n]Performing a DTFT operation to obtain a DTFT signal Y i (f)；
S6, calculating a frequency spectrum value: respectively calculating test signal sequences x T Each item of spectral value Z l (f)，
S7, actually measured sensing matrix generation: according toCalculating the perceptual matrix coefficients +.>And generating an actual measurement sensing matrix, and completing the measurement and calibration method of the sensing matrix coefficient of the modulation broadband converter.
The invention relates to a method for measuring and calibrating a sensing matrix coefficient of a modulation broadband converter, which is used as a preferable mode, and comprises the following steps of S1, f l ＝f 0 +l△f≤f p /2，f 0 And Deltaf are constant, f 0 For a set relatively small fixed frequency deviation, Δf is the set frequency spacing of two adjacent tones.
In the method for measuring and calibrating the sensing matrix coefficient of the modulation broadband converter, in the step S1,
the invention relates to a method for measuring and calibrating a sensing matrix coefficient of a modulation broadband converter, which is used as a preferable mode, and comprises the following steps of S1 and L 0 ≥(f Nyq +f s )/2f p -1, wherein f Nyq Is the nyquist sampling frequency.
The invention relates to a method for measuring and calibrating a sensing matrix coefficient of a modulation broadband converter, which is used as an optimal mode, f s Is the sampling frequency of the synchronous sampling unit.
The invention relates to a method for measuring and calibrating a sensing matrix coefficient of a modulation broadband converter, which is used as a preferable mode, in the step S3, kT p /M≤t≤(k+1)T p M is more than or equal to 0 and less than or equal to M-1, M is the number of times of chip switching of pseudo-random sequence in each period, and f p ＝T p /M。
The invention relates to a method for measuring and calibrating the sensing matrix coefficient of a modulation broadband converter, which is characterized in that a signal processing unit of the modulation broadband converter comprises a signal generating module, a branching unit, a mixer, a low-pass filter, a synchronous sampling unit and a pseudo-random sequence generator, wherein the signal generating module and the branching unit are sequentially connected, the mixer, the low-pass filter, the synchronous sampling unit and the pseudo-random sequence generator are sequentially connected with the input end of each mixer.
According to the method for measuring and calibrating the sensing matrix coefficient of the modulation broadband converter, the synchronous sampling unit is an ADC (analog-to-digital converter) as an optimal mode.
According to the method for measuring and calibrating the sensing matrix coefficient of the modulation broadband converter, as an optimal mode, the pseudo-random sequence generator is electrically connected with the signal generation module and the synchronous sampling unit and transmits a reference clock signal.
The invention relates to a method for measuring and calibrating a sensing matrix coefficient of a modulation broadband converter, which is used as an optimal mode and further comprises a reference clock device electrically connected with a signal generation module and a synchronous sampling unit.
Firstly, a group of test signal sequences are generated, input test signal sequences and periodic pseudo-random sequence signals are subjected to frequency mixing and a low-pass filter, after synchronous sampling, a sensing matrix is obtained through parameter estimation, and the measured sensing matrix is used for reconstructing a multiband signal to obtain a reconstructed signal. The perception matrix obtained by the method has high precision, reduces the repetition times and greatly improves the reconstruction probability and efficiency.
The invention has the following advantages:
(1) The invention can accurately acquire the actual non-ideal modulation bandwidth converter system sensing matrix, and the sensing matrix can reconstruct the multi-band signal by using the modulation bandwidth converter system to acquire the reconstructed signal. The method has the advantages that the accuracy of the obtained sensing matrix is high, the result of the sensing matrix is more accurate, the problem that the theoretical construction method of the sensing matrix is inaccurate is solved, and the reconstruction probability is greatly improved.
(2) Compared with the classical single-tone signal-based perception matrix actual measurement method, the method provided by the invention has the advantages that the measurement times are greatly reduced, and the test efficiency is improved. Meanwhile, the method can correct the time difference between the pseudo-random sequence generator and the ADC clock, and the problem that the traditional method cannot estimate the accurate initial phase of the single-tone signal is solved.
Drawings
FIG. 1 is a flow chart of a method for measuring and calibrating the sensing matrix coefficients of a modulation broadband converter;
FIG. 2 is a schematic diagram of a system for modulating a bandwidth converter using a method for measuring and calibrating the sensing matrix coefficients of the bandwidth converter;
FIG. 3 is a block diagram of a system for measuring and calibrating the sensing matrix coefficients of a modulation broadband converter;
fig. 4 is a spectrum diagram of pilot signals of a method for measuring and calibrating the sensing matrix coefficients of a modulation wideband converter.
Reference numerals:
1. a pseudo-random sequence generator; 2. a signal generation module; 3. a splitter; 4. a mixer; 5. a low pass filter; 6. and synchronizing the sampling units.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments.
Example 1
As shown in fig. 1, a method for measuring and calibrating the sensing matrix coefficients of a modulation broadband converter includes the following steps:
s1, generating a periodic pseudo-random sequence signal: the pseudo-random sequence generator 1 generates a periodic pseudo-random sequence signal f l Andl＝1，2，…，L 0 ，L 0 to shift all spectral components in the input signal x (t)Move to F s ＝[-f s /2，f s /2]The smallest integer in f s Sampling frequency for synchronous sampling unit 6; f (f) l ＝f 0 +l△f≤f p /2，/>L 0 ≥(f Nyq +f s )/2f p -1, wherein f Nyq For the Nyquist sampling frequency, f 0 And Deltaf are constant, f 0 For a set relatively small fixed frequency deviation, Δf is the set frequency interval between two adjacent tone signals;
s2, generating a test signal sequence: the signal generating module 2 generates a test signal sequence x T Test signal sequence f p Is a periodic pseudo-random sequence frequency;
s3, generating a periodic sequence signal: generating a periodic sequence signal p required for mixing i (t)，p i (t)＝a ik ，a ik ∈{+1，-1}；kT p /M≤t≤(k+1)T p M is more than or equal to 0 and less than or equal to M-1, M is the number of times of chip switching of pseudo-random sequence in each period, and f p ＝T p /M；
S4, mixing filtering: test signal sequence x T The test signal sequence x is output to the mixer 4 after being split into m paths by the splitter 3 T And periodic pseudo-random sequence signal f l Andmixing frequency, filtering by a low-pass filter 5, and inputting to a synchronous sampling unit 6 for sampling to obtain a sampling signal y i [n]N=1, 2, … N, N being the number of samples;
s5, conversion: the received sampled signal y i [n]Performing a DTFT operation to obtain a DTFT signal Y i (f)；
S6, calculating a frequency spectrum value: respectively calculating test signal sequences x T Each item of spectral value Z l (f)，
S7, actually measured sensing matrix generation: according toCalculating the perceptual matrix coefficients +.>Generating an actual measurement sensing matrix, and completing a measurement and calibration method of the sensing matrix coefficient of the modulation broadband converter;
as shown in fig. 2-3, the modulation bandwidth converter signal processing unit includes a signal generating module 2, a splitter 3, a mixer 4, a low-pass filter 5, a synchronous sampling unit 6, a pseudo-random sequence generator 1 and a reference clock device, wherein the signal generating module 2 and the splitter 3 are sequentially connected, the mixer 4, the low-pass filter 5, the synchronous sampling unit 6, the pseudo-random sequence generator 1 and the reference clock device are sequentially connected with the output ends of the splitter 3, and the reference clock device is electrically connected with the input ends of each mixer 4; the synchronous sampling unit 6 is an ADC; the pseudo random sequence generator 1 is electrically connected to the signal generating module 2 and the synchronous sampling unit 6 and transmits a reference clock signal.
Example 2
As shown in fig. 1-3, a method for measuring and calibrating the sensing matrix coefficient of a modulation broadband converter includes the following steps:
step 1, according to f l ＝f 0 +l△f≤f p Generating sequence f/2 l,, l＝1,2,…,L 0 。 , According to Generating sequence->Wherein L is 0 To be able to shift all spectral components in the input signal x (t) to F s ＝[-f s /2,f s /2]The smallest integer in, i.e. L 0 ≥(f Nyq +f s )/2f p -1。f Nyq For the Nyquist sampling frequency, f s For the sampling frequency of the analog-to-digital converter, f p For periodic pseudo-random sequence frequency, f 0 And Deltaf are constant, f 0 For a set relatively small fixed frequency deviation, Δf is the set frequency spacing of two adjacent tones.
Step 2, generating a test signal sequence by a signal generating module of the modulation bandwidth converter systemA schematic spectrum of the pilot signal is shown in fig. 4.
Step 3, respectively calculating each item of the test signal sequencel＝1,2…L 0 Is of the spectral value Z of (2) l (f)，l＝1,2…L 0 。
Step 4, generating m periodic sequence signals p required by mixing by a pseudo-random sequence generator of a modulation bandwidth converter system i (t) wherein p i (t)＝a ik ，a ik ∈{+1,-1}，kT p /M≤t≤(k+1)T p M is 0.ltoreq.k.ltoreq.M-1, M being the number of chip switches of the pseudo-random sequence in each period, i.e. f p ＝T p /M。
And 5, dividing the generated test signal sequence into m paths of signal processing units of the modulation bandwidth converter through a splitter. Then each test signal sequence mixes with the pseudo random sequence, and then is filtered by a low-pass filter and then is input into a synchronous sampling unit for sampling, and a sampling signal y is obtained after sampling i [n]N=1, 2, … N, N being the number of samples.
Step 6, received sequence y i [n]Performing a DTFT operation to obtain Y i (f)。
Step 7, according toCalculating the perceptual matrix coefficients +.>And generating an actual measurement sensing matrix.
The foregoing is only a preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art, who is within the scope of the present invention, should make equivalent substitutions or modifications according to the technical scheme of the present invention and the inventive concept thereof, and should be covered by the scope of the present invention.
Claims (10)
1. A method for measuring and calibrating the sensing matrix coefficient of a modulation broadband converter is characterized in that: the method comprises the following steps:
s1, generating a periodic pseudo-random sequence signal: the pseudo-random sequence generator (1) generates a periodic pseudo-random sequence signal f l AndL 0 to shift all spectral components in the input signal x (t) to F s ＝[-f s /2，f s /2]The smallest integer in f s Is the sampling frequency;
s2, generating a test signal sequence: the signal generation module (2) generates a test signal sequence x T The test signal sequence f p Is a periodic pseudo-random sequence frequency;
s3, generating a periodic sequence signal: generating a periodic sequence signal p required for mixing i (t)，p i (t)＝a ik ，a ik ∈{+1，-1}；
S4, mixing filtering: the test signal sequence x T The test signal sequence x is output to a mixer (4) after being split into m paths by a splitter (3) T And periodic pseudo-random sequence signal f l Andmixing frequency, filtering by a low-pass filter (5), and inputting to a synchronous sampling unit (6) for sampling to obtain a sampling signal y i [n]N=1, 2, … N, N being the number of samples;
s5, conversion: the received sampling signal y i [n]Performing a DTFT operation to obtain a DTFT signal Y i (f)；
S6, calculating a frequency spectrum value: respectively calculating the test signal sequences x T Each item of spectral value Z l (f)，
S7, actually measured sensing matrix generation: according toCalculating the perceptual matrix coefficients +.>And generating an actual measurement sensing matrix, and completing the measurement and calibration method of the sensing matrix coefficient of the modulation broadband converter.
2. The method for measuring and calibrating the sensing matrix coefficients of the modulation broadband converter according to claim 1, wherein the method comprises the following steps: in step S1, f l ＝f 0 +l△f≤f p /2，f 0 And Δf are both constants.
3. The method for measuring and calibrating the sensing matrix coefficients of the modulation broadband converter according to claim 1, wherein the method comprises the following steps: in the step S1 of the process,
4. the method for measuring and calibrating the sensing matrix coefficients of the modulation broadband converter according to claim 1, wherein the method comprises the following steps: in step S1, L 0 ≥(f Nyq +f s )/2f p -1, wherein f Nyq Is the nyquist sampling frequency.
5. The method for measuring and calibrating the sensing matrix coefficients of the modulation broadband converter according to claim 1, wherein the method comprises the following steps: f (f) s Is the sampling frequency of the synchronous sampling unit (6).
6. The method for measuring and calibrating the sensing matrix coefficients of the modulation wideband converter according to claim 2, wherein: in step S3, kT p /M≤t≤(k+1)T p M is more than or equal to 0 and less than or equal to M-1, M is the number of times of chip switching of pseudo-random sequence in each period, and f p ＝T p /M。
7. The method for measuring and calibrating the sensing matrix coefficients of the modulation broadband converter according to claim 1, wherein the method comprises the following steps: the modulation bandwidth converter signal processing unit comprises a signal generation module (2), a splitter (3), a mixer (4), a low-pass filter (5), a synchronous sampling unit (6) and a pseudo-random sequence generator (1) which are sequentially connected with each output end of the splitter (3), wherein the pseudo-random sequence generator (1) is sequentially connected with each input end of the mixer (4).
8. The method for measuring and calibrating the sensing matrix coefficients of the modulation wideband converter according to claim 7, wherein: the synchronous sampling unit (6) is an ADC.
9. The method for measuring and calibrating the sensing matrix coefficients of the modulation wideband converter according to claim 7, wherein: the pseudo-random sequence generator (1) is electrically connected with the signal generation module (2) and the synchronous sampling unit (6) and transmits a reference clock signal.
10. The method for measuring and calibrating the sensing matrix coefficients of the modulation wideband converter according to claim 7, wherein: the synchronous sampling device further comprises a reference clock device which is electrically connected with the signal generation module (2) and the synchronous sampling unit (6).
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| CN104852744A (en) * | 2015-05-26 | 2015-08-19 | 哈尔滨工业大学 | Sinusoidal signal-based signal reconstruction method for acquiring sensing matrix under modulated wideband converter system |
| CN111490793A (en) * | 2020-04-10 | 2020-08-04 | 哈尔滨工业大学 | Mixing matrix generation method of modulating broadband converter based on step-type random sequence |
| CN111525930A (en) * | 2020-04-10 | 2020-08-11 | 哈尔滨工业大学 | Mixing matrix generation method of modulation broadband converter based on random impact sequence |
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| US20140181166A1 (en) * | 2012-12-26 | 2014-06-26 | Industrial Technology Research Institute | Apparatus for low complexity sub-nyquist sampling of sparse wideband signals |
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| EP2762921A1 (en) * | 2013-01-30 | 2014-08-06 | Sick Ag | Method for determining a signal propagation time |
| CN104852744A (en) * | 2015-05-26 | 2015-08-19 | 哈尔滨工业大学 | Sinusoidal signal-based signal reconstruction method for acquiring sensing matrix under modulated wideband converter system |
| CN111490793A (en) * | 2020-04-10 | 2020-08-04 | 哈尔滨工业大学 | Mixing matrix generation method of modulating broadband converter based on step-type random sequence |
| CN111525930A (en) * | 2020-04-10 | 2020-08-11 | 哈尔滨工业大学 | Mixing matrix generation method of modulation broadband converter based on random impact sequence |
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