Subspace speech enhancement method based on constrained low rank and sparse decomposition
A speech enhancement and sparse decomposition technology, applied in speech analysis, instruments, etc., can solve problems such as singleness, inability to automatically determine the effective rank of a low-rank matrix, and inability to apply to an unsteady noise environment, achieving high accuracy and robustness Good results
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[0037] The present invention will be further described in conjunction with accompanying drawing and embodiment now.
[0038] Such as figure 1 As shown, the subspace speech enhancement method based on constrained low-rank and sparse decomposition shown in this embodiment includes the following steps:
[0039] (1) Frame the noisy speech signal y(t).
[0040] (2) For each frame of noisy speech, construct a noisy matrix Y in the time domain:
[0041]
[0042] Wherein: band noise matrix Y is the Toeplitz matrix of ((N-M+1) * M) dimension, y () is the noisy speech, N is the sample number in a frame containing the noisy speech, M is adjustment factor, M= N / 3 is a better choice;
[0043] (3) Carry out SVD decomposition to the noisy matrix Y, that is, Y=U∑V H , U ∈ R (N-M+1)×M ,Σ M×M ,V M×(N-M+1) , according to the SVD decomposition results, the effective rank P of the pure speech is determined by the analysis-by-synthesis method, and the steps are as follows:
[0044] 3.1) ...
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