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Broadband convex optimization DOA estimation method based on fourth-order cumulant

A fourth-order cumulant, convex optimization technology, applied in radio wave measurement systems, instruments, etc., to achieve the effect of reducing data size, suppressing noise, and suppressing noise terms

Active Publication Date: 2019-01-01
SOUTHEAST UNIV
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Problems solved by technology

[0017] In order to solve the above problems, the present invention provides a wide-band convex optimization DOA estimation method based on fourth-order cumulants, which improves the existing sparse reconstruction DOA estimation algorithm that cannot suppress noise items and has a large amount of calculation. In order to achieve this purpose, the present invention A wide-band convex optimization DOA estimation algorithm based on fourth-order cumulants is provided, and the specific steps are as follows:

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[0035] The technical scheme of the present invention is described in detail below in conjunction with accompanying drawing:

[0036] The invention provides a fourth-order cumulant-based broadband convex optimization DOA estimation method, which improves the problems that the existing sparse reconstruction DOA estimation algorithm cannot suppress noise items and has a large amount of calculation.

[0037] figure 1 shows the traditional narrowband signal DOA estimation algorithml 1 -Operation flow of SVD algorithm.

[0038] For P far-field narrowband signals incident on a spatial array with M array elements, the signal received by the mth array element can be expressed as:

[0039]

[0040] where a p Indicates the response of the mth array element to the pth signal source, τ m (θ p ) represents the time delay from the pth signal source to the mth array element. no m (t) represents the noise component on the mth array element. The signal is sampled in the time domain, ...

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Abstract

A broadband DOA (Direction of Arrival) estimation algorithm based on a fourth-order cumulant is provided. A broadband signal source is used to estimate the DOA, and the broadband signal source is decomposed into a plurality of sub-bands based on the principle of compressed sensing. The spatial spectrums of the sub-bands are estimated one by one, and the arithmetic average is calculated to achievemore accurate DOA estimation. The signal subspace of each sub-band component is constructed by using a fourth-order cumulant, so as to suppress the noise item. The embodiment of the compressed sensingprinciple in the invention is that the DOA estimation problem is transformed into an optimization problem, a QUOTE Iota(2) Iota(2) norm is applied to each snapshot component of a signal to constructa vector with the same sparsity as the original signal, and a regularization parameter QUOTE lambda lambda is applied to embed the vector into an objective function to balance the sparsity condition and the data solution. Finally, the final DOA estimation can be achieved by optimizing the objective function. Compared with the prior art, the noise item is suppressed and the DOA estimation accuracyis improved on the premise that the complexity of the algorithm is guaranteed.

Description

technical field [0001] The invention relates to a fourth-order cumulant-based wide-band convex optimization DOA estimation method, which belongs to the technical field of underwater acoustic signal processing. Background technique [0002] Direction of arrival (DOA) refers to the direction angle at which the space signal arrives at the reference array element, and is an important concept in space spectrum estimation. In the field of underwater acoustic signal processing, the sensor array estimates the parameters of the signal of interest and determines the position parameters of the source, which is of great significance for underwater target survey, obstacle identification and underwater communication. The direction of arrival is one of the most important parameters. [0003] Traditional DOA estimation methods mainly include beamforming method and various signal subspace algorithms. The existence of the Rayleigh limit limits the resolution of the angle of arrival estimati...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01S7/539
CPCG01S7/539
Inventor 姜龙玉张雅南周逍杨淳沨王世杰
Owner SOUTHEAST UNIV