Spectrum sensing method based on multiple MWC (mirror write consistency) distributed type sub-nyquist sampling joint reconstruction
A technology of spectrum sensing and joint reconstruction, applied in the field of spectrum sensing, can solve problems such as difficulty in overcoming shadow effects and hidden terminals, and low success rate of spectrum sensing, to achieve overcoming hidden terminal problems, overcoming shadow effects, and high success rate of spectrum sensing Effect
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specific Embodiment approach 1
[0044] Embodiment 1. The spectrum sensing method based on multiple MWC distributed sub-Nyquist sampling joint reconstruction described in the present invention is implemented by the following steps:
[0045] Step 1. Place J MWCs at J preset spatial positions, and use J different sampling matrices to obtain the radio spectrum signals of J MWCs with joint sparsity at the sub-Nyquist rate, and obtain the sampled value matrix Y j (n), j=1,2,...,J, J is a positive integer, n=1,2,...r, r is the sample value matrix Y j (n) the number of column vectors;
[0046] Step 2. Calculate the final support set The specific method is:
[0047] Calculate J sample value matrix Y j The eigenvalues and eigenvectors of the correlation matrix of (n), take the eigenvectors corresponding to the 2N largest eigenvalues as the transformation matrix:
[0048] T j =V r×2N
[0049] In the formula: j=1,2,...J;n=1,2,...r, N is the number of signal frequency bands, r is Y j (n) the number of colum...
specific Embodiment approach 2
[0073] Embodiment 2. The difference between this embodiment and the spectrum sensing method based on multiple MWC distributed sub-Nyquist sampling joint reconstruction described in Embodiment 1 is that in step 3, according to J MWC distributed sub-Nyquist sampling The support set of the Nyquist sampling union The frequency band position occupied by the spectrum in the spectrum sensing signal is calculated by the formula:
[0074]
[0075] achieved;
[0076] In the formula: The support set obtained for the joint reconstruction algorithm, L 0 =[(f NYQ +f s ) / 2f p ] -1 .
[0077] In this embodiment, the MWC sampling process can be regarded as a spectrum segmentation process, when the basic configuration f s =f p When ≥B, the entire spectrum is equivalent to being divided into L segments by an analog low-pass filter, and the frequency f p By setting the shift step size determines the final mixing situation, f p Further determines where each spectrum segment is plac...
specific Embodiment approach 3
[0078] Embodiment 3. The difference between this embodiment and the spectrum sensing method based on multiple MWC distributed sub-Nyquist sampling joint reconstruction described in Embodiment 1 is that in step 3, according to J MWC distributed sub-Nyquist sampling The support set of the Nyquist sampling union Spectral holes outside the occupied frequency band are calculated by the formula:
[0079]
[0080] acquired;
[0081] In the formula: Complete set of supports L 0 =[(f NYQ +f s ) / 2f p ] -1 , L=2L 0 +1.
[0082] In the present invention, in order to demonstrate the advantages of DSNS in application, the reconstruction performance of the DSNS method when comparing different numbers of MWC distribution sampling, and then compare the reconstruction power of multi-MWC distribution sampling and single MWC sampling under different signal-to-noise ratios .
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