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Method for obtaining sensing matrix of pulse sequence random demodulation hardware system
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A random demodulation, hardware system technology, applied in the field of signal processing, can solve problems such as system deviation, and achieve the effect of reducing deviation, computing content and influencing factors
Pending Publication Date: 2020-11-06
HARBIN INST OF TECH
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[0004] The present invention solves the problem that the parameters used in the existing method for obtaining the perception matrix of the random demodulation hardware system for the pulse sequence are ideal, which causes deviations from the actual system. The present invention provides a method for obtaining the random pulse sequence The method for demodulating the perception matrix of the hardware system, the present invention provides the following technical solutions:
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specific Embodiment 1
[0043] Such as figure 1 As shown, the present invention provides a method for obtaining the perception matrix of the pulse sequence random demodulation hardware system, comprising the following steps:
[0044] A method for obtaining a pulse sequence random demodulation hardware system perception matrix, comprising the following steps:
[0045] Step 1: Determine the input signal of the pulse sequence random demodulation hardware system, and set the initial time shift parameter value;
[0046] The step 1 is specifically: determine the input signal of the pulse sequence random demodulation hardware system, and express the input signal s of the pulse sequence random demodulation hardware system by the following formula i (t):
[0047] the s i (t)=g(t-t i )
[0048] Among them, t is the time shift parameter value, g(t) is a single pulse signal, and i is an initialization count variable;
[0049] Set the initial time shift parameter value, the time shift parameter step value i...
specific Embodiment 2
[0074] In order to verify the effectiveness of the method, the following experiments are carried out to verify.
[0075] The measured signal is set to a pulse sequence consisting of four Gaussian pulses, a method for obtaining the perception matrix of the pulse sequence random demodulation hardware system, characterized in that it comprises the following steps:
[0076] Step 1: Set the input signal of the system to s i (t)=g(t-t i ), the initial time shift parameter value is t=t 1 (The starting time shift parameter value is t 1 It is necessary to ensure that the single pulse signal g(t) is completely within the effective sampling time), the time shift parameter step value is Δt, the amplitude is 1, the number of calculated time shifts is N, the initialization count variable is i, and the perception matrix is Φ;
[0077] Step 2: Set the initial value of the pseudo-random sequence signal and keep it unchanged;
[0078] Step 3: Uniformly sample the system output signal, the...
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Abstract
The invention relates to a method for obtaining a sensing matrix of a pulse sequence random demodulation hardware system, which belongs to the field of signalprocessing. The method comprises the steps of determining an input signal of a pulse sequence random demodulation hardware system, and setting an initial time shift parameter value, uniformly sampling output signals of the pulse sequence random demodulation hardware system at the sampling rate and sampling time the same as those of the pulse sequence random demodulation hardware system to obtain a sampling value, carrying out FFT on theobtained sampling value to obtain a frequency domain value of the sampling value, removing the influence of an actual filter from the frequency domain value of the sampling value to obtain the frequency domain of the sampling value without the influence of the actual filter, and changing the counting variable and the time shift parameter to obtain a sensing matrix. According to the method, the deviation during theoretical calculation is reduced, and the method better conforms to the characteristics of an actual system. Therefore, the operation content and influence factors are greatly reduced.
Description
technical field [0001] The invention relates to the technical field of signalprocessing, and relates to a method for obtaining a perception matrix of a pulse sequence random demodulation hardware system. Background technique [0002] Richard Baraniuk of Rice University and his research team proposed a random demodulation (Random Demodulation, RD) system in 2006, which is a technology and method that extends the compressive sensing theory to the analog domain, mainly for compressive sampling of multi-frequency point signals , whose structure is as figure 1 As shown, it mainly includes four parts: frequency mixing, low-pass filtering, uniform sampling, and signal reconstruction. The signal processing flow is as follows: the analog signal is first multiplied by a pseudo-random sequence in an analog multiplier to achieve frequency mixing, and then filtered by an analog low-pass filter. Finally, a traditional low-speed ADC is used for sampling to obtain a series of observations...
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