Vandermonde decomposition-based coprime array direction of arrival estimation method

Abstract

The present invention discloses a Vandermonde decomposition-based coprime array direction of arrival estimation method. The invention aims to solve the problem that degree-of-freedom performance is limited, and the problem of high computational complexity in the prior art. The implementation process of the method includes the following steps that: a receiving antenna is constructed into a coprime array structure; the coprime array is utilized to receive incident signals and perform modeling; equivalent virtual signals corresponding to the signals received by the coprime array are calculated; a virtual array covariance matrix is constructed; de-noising processing is performed on the virtual array covariance matrix; uniqueness Vandermonde decomposition is performed on the de-noised virtual array covariance matrix; and parameters which are obtained through the Vandermonde decomposition are made to correspond to theoretical values, so that direction of arrival and power estimation results can be obtained. According to the Vandermonde decomposition-based coprime array direction of arrival estimation method of the invention adopted, the coprime array is fully utilized, so that degree-of-freedom performance can be improved; according to the Vandermonde decomposition, grid points are not required to be preset, and therefore, computational complexity can be decreased, and at the same time, the degree of freedom of the direction of arrival estimation method can be increased. The direction of arrival estimation method can be applied to passive positioning and target detection.

Description

technical field [0001] The invention belongs to the technical field of signal processing, and in particular relates to estimation of the direction of arrival of radar signals, acoustic signals and electromagnetic signals, specifically a method for estimation of the direction of arrival of a coprime array based on Vandermonde decomposition, which can be used for passive positioning and target detection . Background technique [0002] Direction-of-Arrival (DOA) estimation is an important branch in the field of array signal processing. It refers to the use of array antennas to receive airspace signals and process the received signals through statistical signal processing techniques and various optimization methods. To restore the DOA information contained in the signal, it has a wide range of applications in radar, sonar, voice, wireless communication and other fields. [0003] The degree of freedom of the DOA estimation method refers to the number of incident signal sources t...

AI Technical Summary

Problems solved by technology

However, existing methods based on equivalent virtual signals usually need to design optimization problems by setting predefined grid points for DOA estimation

Since the actual direction of arrival of the signal will not be completely located on these predefined grid points, the accuracy of DOA estimation is limited by the grid density

Although the estimation accuracy can be improved by reducing the sampling interval between grids, the densification of grid points will lead to an exponential increase in the computational complexity of the method

In addition, the spectrogram of the existing DOA estimation method is usually a pseudo-spectrum, and the peak response of the DOA estimation direction cannot be used to represent the signal power; in fact, the signal power is also an important parameter to describe the signal source. We hope that the spectrogram can Reflect its power information while estimating the direction of arrival

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