Co-prime array wave arrival direction estimation method based on interpolation virtual array signal atom norm minimization
A direction-of-arrival estimation and virtual array technology, applied in the field of signal processing, can solve problems such as model mismatch errors, increased computational complexity, and signal direction-of-arrival that cannot be completely placed
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example 1
[0095] Simulation example 1: A coprime array is used to receive incident signals, and its parameters are selected as M=3, N=5, that is, the coprime array of the structure contains M+N−1=7 physical array elements in total. Assume that the number of incident narrowband signals is 9, and the incident direction is evenly distributed in the space angle range of -50° to 50°; the signal-to-noise ratio is set to 30dB, and the number of sampling snapshots is T = 500; the regularization parameter μ is set to 0.25.
[0096] The spatial power spectrum of the coprime array DOA estimation method based on the minimization of the atomic norm of the interpolated virtual array signal proposed by the present invention is as follows: Figure 6 , where the vertical dashed line represents the actual direction of the incident signal source. It can be seen that the method proposed in the present invention can effectively distinguish the nine incident signal sources. However, for the traditional uni...
example 2
[0097] Simulation example 2: Use a coprime array to receive incident signals, and its parameters are also selected as M=3, N=5, that is, the coprime array of the structure contains M+N-1=7 physical antenna elements; assuming an incident narrowband signal The number is 2, and the incident direction is -0.5° to 0.5°, and the other parameter settings are consistent with the simulation example 1. Depend on Figure 7 From the normalized spatial spectrum shown, it can be seen that the method proposed in the present invention can effectively distinguish the directions of arrival of the two short-distance signal sources, which illustrates the good resolution performance of the method.
[0098] In summary, the method proposed in the present invention makes full use of all the information on the non-uniform virtual array, and can realize effective estimation of the incident signal when the number of signal sources is greater than or equal to the number of physical antennas, increasing t...
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