Flexible MIMO (Multi-Input and Multi-Output) radar hybrid target DOA (Direction of Arrival) estimation method based on compressed sensing (CS)
A hybrid target, flexible technology, applied in radio wave measurement systems, instruments, etc., can solve the problems of high computational complexity and sparse array MIMO radar structure design, etc.
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Embodiment 1
[0215] Example 1: Establishing a Flexible MIMO Radar Echo Signal Model
[0216] refer to image 3 , is a schematic diagram of the distribution of related MIMO radar virtual array elements of a flexible MIMO radar hybrid target DOA estimation method based on compressed sensing provided by the embodiment of the present invention, assuming that the number of SA-FIS transmitting arrays and receiving arrays is M=4,N =3. Then according to Theorem 1, 1≤α≤5, 1≤β≤7. Combined with the related sparse array MIMO radar structure in Table 2, image 3 The virtual element distribution of each array structure is given, among which, the flexible mutual prime MIMO radar satisfies p=2, SA-FIS satisfies α=5, β=3. from image 3 It can be seen that the nested sub-array MIMO radar transmit or receive array is a dense array, and other array structures are composed of sparse arrays, so the nested sub-array MIMO radar has the highest mutual coupling rate. Specifically, SA-FIS can obtain 35 virtua...
Embodiment 2
[0217] Embodiment 2, improving the operation time of the CS algorithm
[0218] refer to Figure 4 , is a schematic diagram of the operation time of traditional CS and two-step CS algorithm of a flexible MIMO radar mixed target DOA estimation method based on compressed sensing provided by an embodiment of the present invention, wherein the SNR is 10dB, the number of snapshots is 200, and the search range is [ 0°,40°], the search step is 1°, N=3, and the range of M is [2,8]. Suppose α=5, β=3, and the three target directions are θ 1 =10°, θ 2 =20°, θ 3 =30°, where the latter two targets are coherent, and the corresponding coherence coefficients are 0.9exp(j1.1π) and 0.8exp(j0.75π). So, by Figure 4 It can be seen that the two-step CS algorithm has a lower computational load than the traditional CS algorithm.
Embodiment 3
[0219] Embodiment 3, improved CS algorithm mean square error
[0220] refer to Figure 5 with Image 6 , firstly, compare the traditional CS algorithm, l 1 - Estimated performance of SVD and two-step CS algorithms, and CRB provides estimated performance lower bounds. Assume that the target position and coherence coefficient are the same as those in Embodiment 2, M=2, N=3, α=5, β=3, and the search step size is 0.05°. Figure 5 The relationship between RMSE and SNR is given, and the number of snapshots is 200. Image 6 The relationship between RMSE and the number of snapshots is given, and the SNR is 0dB. from Figure 5-6 It can be seen that the improved CS algorithm, l 1 - Both SVD and traditional CS algorithms increase with the increase of SNR and the number of snapshots. Among them, the second step of the improved CS algorithm can improve the estimation performance by modifying the target covariance matrix, so the estimation accuracy is better than the traditional CS a...
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