Target arrival direction obtaining method based on principal component analysis

Abstract

The invention discloses a target arrival direction obtaining method based on principal component analysis. The target arrival direction obtaining method mainly includes the steps that N array elements contained by a radar are determined, a radar space frequency-spectrum area is determined, then the radar space frequency-spectrum area is subjected to frequency-spectrum division at equal-interval epsilon, and M space frequency-spectrum intervals are obtained, and comprise T target signals; base vector matrixes and base coefficient vector matrixes of the M space frequency-spectrum intervals are calculated respectively; echo data X received by the radar is determined, and then sampling covariance matrix estimation (the symbol is shown in the description) of the radar echo data is calculated; the sampling covariance matrix estimation (the symbol is shown in the description) of the radar echo data is subjected to characteristic decomposition, and noise subspace matrixes (the symbol is shown in the description) of the sampling covariance matrix estimation (the symbol is shown in the description), transformation matrixes F of the M space frequency-spectrum intervals and spectral function values corresponding to all frequency points in the M space frequency-spectrum intervals of the radar echo data are sequentially calculated; the arrival directions of the T target signals in the M space frequency-spectrum intervals are further calculated.

Description

technical field [0001] The invention belongs to the technical field of radar, and in particular relates to a method for obtaining the direction of arrival of a target based on principal component analysis, that is, a method for obtaining the direction of arrival of a target based on principal component analysis (Principal Component Analysis, PCA), which is suitable for determining the direction of arrival of a target direction. Background technique [0002] The DOA estimation of the target is of great significance in array signal processing, and the MUSIC algorithm has been widely used due to its high-resolution capability; For dimensional or multidimensional search, the amount of calculation increases with the number of search points and array elements, and the eigendecomposition of the covariance matrix also requires a large amount of calculation. [0003] Later, a series of modified algorithms were proposed to reduce the calculation amount of the covariance matrix eigend...

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Problems solved by technology

[0004] Aiming at the problem that the traditional MUSIC algorithm has a large amount of calculation in the spectrum search stage, especially in the case of a large number of array elements, the purpose of the present invention is to propose a method for obtaining the direction of arrival of a target based on principal component analysis, which is based on principal component analysis The target DOA acquisition method is based on the low-rank characteristics of the steering vector matrix, and uses principal component analysis to realize the low-complexity spectrum search MUSIC algorithm. Compared with the traditional MUSIC and root-MUSIC algorithms, the calculation amount is lower, especially in large arrays. In the case of arity, and the DOA estimation performance of the target direction of arrival is basically not lost

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