Co-prime array underdetermined direction-finding method based on atomic norm

Abstract

The invention discloses a co-prime array underdetermined direction-finding method based on an atomic norm. The method comprises the following steps: firstly, constructing receiving end antennas according to a co-prime array; performing modeling according to an array receiving signal; calculating an output signal of the virtual array; initializing an interpolation output signal; designing an optimization method based on an atomic norm to recover an interpolation output signal; reconstructing a virtual uniform linear array signal covariance matrix after interpolation; and estimating the direction of arrival according to the reconstructed covariance matrix. According to the method, the discontinuous virtual linear array of the co-prime array is interpolated into the virtual uniformity array through interpolation, so the degree of freedom and array element information of the co-prime array are fully utilized; when a virtual array output signal is obtained by vectorizing a covariance matrix, the signals at the same position are averaged, so that the information of the signal can be more fully utilized than the first signal at the same position which is directly selected; the problem ofbase mismatching of a traditional sparse representation method can be avoided, the denoising operation is introduced during problem optimization, and the direction-finding accuracy is improved.

Description

technical field [0001] The invention belongs to the technical field of array signal processing, and in particular relates to the measurement of the direction of arrival of an incident signal, in particular to an underdetermined direction-finding method of a coprime array based on an atomic norm. Background technique [0002] Direction-of-arrival (DOA) estimation refers to the use of array receiving antennas to receive airspace signals and estimate the direction of arrival of signals through a series of signal processing techniques and optimization methods. It has important applications in military and civilian fields such as wireless communication. [0003] The degree of freedom of direction finding refers to the number of array elements that can be effectively used by the array. The array degree of freedom of the traditional DOA estimation method is limited by the number of physical array elements. When the number of signal sources is greater than the number of array elem...

AI Technical Summary

Problems solved by technology

Although both algorithms can realize underdetermined direction finding without mesh, in the NMM algorithm, the noise is not processed when interpolating the virtual signal at the position of the missing virtual array element

While the CA-VAI algorithm discards some elements in the covariance matrix when obtaining the output signal of the virtual array, it does not make full use of all the information provided by the signal, and this method interpolates the covariance matrix to form a multi-measurement vector The optimization method leads to an increase in computational complexity

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