Signal combination method and system
A technology for signal synthesis and signal synthesis, applied in the field of sensor networks, it can solve problems such as large amount of calculation, and achieve the effect of simplifying the amount of calculation and maintaining performance.
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Embodiment 2
[0177] In embodiment 2, N=4, L=1024, signal-to-noise ratio is 0dB, noise variance is equal, SNR EIGEN utilizes traditional method to obtain equal:
[0178]
[0179] SNR EIGEN is obtained by Strassen method equal:
[0180]
[0181] SNR EIGEN is obtained by ZBS method equal:
[0182]
[0183] Comparing the above three formulas, it can be seen that the Strassen method is used to complete the SNR EIGEN The matrix multiplication operation does not affect calculation accuracy. Using the ZBS method to complete the SNR EIGEN The matrix multiplication operation for The calculation accuracy error is very small, and the maximum error is less than 0.37%.
Embodiment 3
[0184] In Example 3, N=4, L=1024. When the noise variances are equal, such as Figure 4 As shown, the combination loss of SNR EIGEN algorithm and SNR+Strassen algorithm is the smallest, and the combination loss of SNR+ZBS is better than COP EIGEN, AC EIGEN and AC+Strassen algorithm. And when the noise variances are not equal, such as Figure 5 As shown, the SNR EIGEN algorithm and the SNR+Strassen algorithm still have the smallest combined loss, while the combined loss of the SNR+ZBS is slightly more than that of the SNREIGEN algorithm and the SNR+Strassen algorithm, better than the AC EIGEN and AC+Strassen algorithms, and significantly better than the COP EIGEN.
[0185] Combining the results of the above embodiments, the fast signal synthesis methods SNR+Strassen, AC+Strassen and SNR+ZBS proposed by the present invention can all be flexibly applied to situations where the noise variances are equal or the noise variances are unequal. Compared with SNR EIGEN and AC EIGEN, S...
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