Sparsity self-adaptive DOA estimation method and system based on pseudo-inverse perception dictionary
A sparsity and self-adaptive technology, applied in the field of signal processing, can solve problems such as limited scope of application, no iterative threshold, and inability to take into account the performance and resolution of signal restoration and reconstruction, etc., to achieve the effect of expanding the scope of application and eliminating threshold errors
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Embodiment 1
[0083] like figure 2 , An embodiment of the present invention proposed a method of adaptive orthogonal matching pursuit based on a pseudo inverse perceptual dictionary sparsity, the specific steps are as follows:
[0084] Input: M × N dimensional matrix A, the observation vector y, step F = 1;
[0085] 1. Initialization: initial iterations t = 1; r residual 0 = Y; matching matrix Atoms selected amount of the first stage L = F, the iteration index t = 1, the phase index j = 1;
[0086] 2. Select atoms: Calculation | [Phi] H rim t-1 |, Where Φ is the pseudo-inverse perception dictionary. Select the maximum value of the product L columns atoms, and these constitute a column number set J 0 ;
[0087] 3. Update matching matrix: Let Λ t = Λ t-1 ∪J 0 , A t = A t-1 ∩a t ;
[0088] 4. Update sparse coefficients:
[0089] 5. atoms backtracking: Select θ t L largest item, and re-form a new matrix A according to a corresponding matching maximum atoms selected items L tL ;
[0090] 6. backtr...
Embodiment 2
[0106] Based on the above method, Embodiment 2 of the present invention proposes a sparse-based adaptive DOA estimation system based on a pseudo-inherent dictionary.
[0107] The system includes M yuan uniform line array and estimation module;
[0108] The M element homogeneous line is used to receive K narrowband signal sources to obtain an observation vector of the noiseless field;
[0109] The estimation module is used to use the observed vector as an initial residual, and the sparse-based adaptive orthogonal matching method based on the pseudo-inverse perception dictionary is used. By continuous iterative steps, the residual value corresponding to this stage is obtained according to different stages. The contrast of the difference converges, obtains the minimum residual value, and thus obtains the corresponding sparse coefficient, and thereby obtains the direction of non-zero elements in the k narrowband signal source.
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