Impact signal feature extraction and noise reduction method
A signal feature and noise reduction technology, applied in the field of feature extraction and noise reduction of shock signals, can solve the problems of low signal-to-noise ratio of shock signals and unsatisfactory noise reduction processing effect, and achieve high signal-to-noise ratio and noise reduction processing effect. ideal effect
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[0040] Such as figure 1 As shown, a method for feature extraction and noise reduction of shock signals includes the following steps:
[0041] Step 1: Reconstruct the attractor trajectory matrix using phase space reconstruction theory;
[0042] Suppose the shock signal s(t) is a one-dimensional time signal sequence with length N, t=1, 2,..., N, use the phase space reconstruction theory to reconstruct the attractor trajectory matrix, and obtain the sub-matrix B, as shown in formula (1 ) as shown:
[0043]
[0044] In the formula: N=L+(M-1)τ, τ=1, sub-matrix B is an L×M dimensional matrix;
[0045] Step 2: performing singular value decomposition on the sub-matrix B;
[0046] Singular value decomposition is performed on the sub-matrix B, as shown in formula (2):
[0047] B L×M =U L×L ∑ L×M V T M×M (2)
[0048] In the formula: U is an L-order orthogonal matrix, V is an M-order orthogonal matrix; Σ is a diagonal matrix: Σ=dig(δ 1 ,δ 2 ,…,δ L ), where δ 1 ,δ 2 ,…,δ...
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