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Signal reconstruction method for acquiring random demodulation system perception matrix based on MLS sequence and system thereof
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A technology of random demodulation and perception matrix, applied in the field of signal processing
Inactive Publication Date: 2014-10-15
HARBIN INST OF TECH
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[0005] The present invention aims to improve the accuracy and signal-to-noise ratio of the existing signal compression sensing method, thereby providing a signal reconstruction method and system based on MLS sequences to obtain the sensing matrix of the random demodulation system
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specific Embodiment approach 1
[0053] Specific implementation mode 1. Combination figure 2 Describe this specific implementation mode, the signal reconstruction method and system for obtaining the perception matrix of the random demodulation system based on the MLS sequence, which is realized by the following steps:
[0054]Step 1: Connect the MLS serial module and a 1V DC signal to the two input terminals of the SRD system respectively. Set the order n=0 of the MLS sequence, the seed seed=1, the hopping frequency (analog output sampling rate) fmls=100kS / s;
[0055] Step 2: The trigger module generates a trigger signal, the rising edge of the trigger signal triggers the MLS module sequence to output the MLS sequence, and the falling edge triggers the sampling module to synchronously collect the MLS sequence and the output signal of the SRD system, the sampling rate is fs=100kS / s, and the sampling time is t , to obtain corresponding two sample value vectors x={x(0),...,x(N)} and y={y(0),...,y(N)};
[0056...
specific Embodiment approach 2
[0092] Specific embodiment two, based on the MLS sequence to obtain the signal reconstruction method and system of the perception matrix of the random demodulation system, it includes a trigger signal module, an MLS sequence generator, a signal processing unit, a synchronous sampling unit and a host computer;
[0093] The trigger signal output end of the trigger signal module is simultaneously connected with the rising edge trigger signal input end of the MLS sequencer and the falling edge trigger signal output end of the synchronous sampling unit;
[0094] The MLS sequence output end of the MLS sequence generator is simultaneously connected with the MLS sequence input end of the signal processing unit and the MLS sequence input end of the synchronous sampling unit;
[0095] The sampling signal output end of the synchronous sampling unit is connected with the sampling signal input end of the host computer;
[0096] The signal processing unit includes a multiplier, a filter and...
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Abstract
The invention provides a signalreconstruction method for acquiring a random demodulationsystemperception matrix based on an MLS sequence and a system thereof, and relates to the field of signalprocessing. In order to acquire the perception matrix of a random demodulationsystem more accurately, signal-to-noise ratio in signal recovery is increased and an existing signal compressionperception effect is enhanced. The MLS sequence and 1V DC are inputted to the system to act as an excitation signal, and synchronous sampling is performed on an output signal and the inputted MLS sequence of the system simultaneously. Then cross-correlation is performed on a sampling value vector corresponding to the output single of the system and the sampling value vector corresponding to the MLS sequence so that a cross-correlation function of the sampling value vectors is obtained. Then a value K of an autocorrelation function of the MLS sequence at zero is calculated, and the cross-correlation function is divided by K so that pulse response of the system is obtained. Then an observation matrix is acquired by utilizing the pulse response and another path of the MLS sequence, and the observation matrix and an inverse Fourier transform matrix are multiplied so that the required perception matrix is acquired. The signal reconstruction method is suitable for signal perception in the processes of analog signal acquisition, communication and radar detection.
Description
technical field [0001] The invention relates to the field of signal processing, in particular to a signal compression sensing method and system. Background technique [0002] The compressive sensing theory that emerged in recent years shows that under the premise that the signal is sparse, the simultaneous compression and sampling of the signal can be realized, thereby greatly reducing the sampling rate and the number of samples, and using a rate much lower than the signal Nyquist sampling rate. Signal acquisition is carried out, and then the original signal is recovered through an appropriate reconstruction algorithm. Stochastic demodulation is a new technology that puts compressed sensing theory into practical use. A typical synchronous random demodulation system (Synchronized Random Demodulation, SRD) such as figure 1 shown. It mainly includes the following parts: multiplier, low-pass filter, uniform sampling module, signal reconstruction module, trigger signal module,...
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