Coprime coherent signal source estimation method based on denoising nuclear norm minimization

Abstract

The invention discloses a coprime coherent signal source estimation method based on denoising nuclear norm minimization, which comprises the following steps: a plurality of far-field coherent signal sources emitting the same electromagnetic wave signal to a co-prime array according to different DOA to obtain a receiving signal of the co-prime array; acquiring a receiving signal of the interpolated uniform linear array; calculating a sampling covariance matrix of the interpolation uniform linear array, and constructing a binary identification matrix; reconstructing a Toeplitz matrix with a complete element; performing eigenvalue decomposition on the Toeplitz matrix, and obtaining an estimated coherent signal source angle parameter through spectral peak search; and finally, obtaining an estimated DOA parameter of the coherent signal source. According to the method, on the basis of a co-prime array interpolation algorithm based on nuclear norm minimization, denoising operation is introduced, the nuclear norm minimization problem of a Toeplitz matrix formed by received signals is solved through convex optimization, and high-precision super-resolution DOA estimation of multiple coherent signal sources is achieved.

Description

technical field [0001] The invention relates to a coprime array signal processing technology, in particular to a coprime coherent information source estimation method based on the minimization of the denoising kernel norm. Background technique [0002] With the increasingly complex electromagnetic environment in space, it is becoming more and more important to seize air supremacy and electromagnetic supremacy in modern information warfare. Therefore, the effect of military operations depends on the detection capabilities of electronic reconnaissance equipment with electromagnetic supremacy. However, in the face of the electromagnetic radiation released by the enemy's / our electromagnetic weapons, the radiation of civilian electromagnetic equipment, and the electromagnetic waves generated by nature itself, electronic reconnaissance equipment urgently needs to solve the serious problem of coherent source estimation in order to improve its multi-target capability. direction find...

AI Technical Summary

Problems solved by technology

However, the direction finding ability of these methods drops sharply under the condition of low signal-to-noise ratio, and most of the signal-to-noise ratios in modern electronic warfare are very low. Direction finding capability of coherent sources

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