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DOA matrix augmentation method based on angle and frequency joint estimation

A technology of joint estimation and matrix, which is applied to direction finders using radio waves, radio wave direction/bias determination systems, etc., to avoid polynomial search and achieve the effect of small computational complexity

Active Publication Date: 2020-03-17
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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Problems solved by technology

[0003] The technical problem to be solved by the present invention is to provide an augmented DOA matrix method for joint estimation of angle and frequency, which solves the problem of two dimensional DOA estimation problem with high estimation performance

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  • DOA matrix augmentation method based on angle and frequency joint estimation
  • DOA matrix augmentation method based on angle and frequency joint estimation
  • DOA matrix augmentation method based on angle and frequency joint estimation

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Embodiment Construction

[0043] Embodiments of the invention are described in detail below, examples of which are illustrated in the accompanying drawings. The embodiments described below by referring to the figures are exemplary only for explaining the present invention and should not be construed as limiting the present invention.

[0044] Symbol representation: use (·) in the present invention T Indicates the matrix transpose, ( ) H Represents matrix conjugate transpose, ( ) * Represents matrix conjugation, capital letter X represents matrix, lowercase letter x(·) represents vector, I represents identity matrix, diag(v) represents a diagonal matrix composed of elements in v, E[·] represents the expectation of the matrix, angle(·) represents the phase angle operation.

[0045] 1. Data model

[0046] The signal receiving array consists of figure 1 A non-uniform linear array is shown, the array has M sensors, and the distance between the mth sensor and the first sensor is d m (m=1,...,M), where ...

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Abstract

The invention discloses a DOA matrix augmentation method based on angle and frequency joint estimation. An angle and frequency joint estimation problem in a single-delay array signal receiving systemis discussed by taking array signal processing as a background, and an augmented DOA matrix method based on the single-delay array signal receiving system is proposed and discussed on the basis of a traditional DOA matrix method. An augmented DOA matrix is constructed by utilizing autocorrelation and cross-correlation matrixes of received data of the signal system, and then a signal direction vector and a signal direction element to be estimated are directly obtained through characteristic decomposition of the DOA matrix, so DOA angle and frequency estimation of a to-be-estimated signal is obtained. Compared with the traditional DOA matrix method, the method provided by the invention completely utilizes the autocorrelation matrix and the cross-correlation matrix of the received data of thesignal receiving system, so the method has better angle and frequency estimation performance. The method is advantaged in that spatial spectrum search is not needed, algorithm complexity is low, andthe obtained DOA estimation angle and frequency estimation can be automatically paired.

Description

technical field [0001] The invention relates to a signal source positioning method under a sensor array, in particular to an augmented DOA matrix method for joint estimation of angle and frequency, and belongs to the technical field of array signal processing. Background technique [0002] The traditional DOA matrix method constructs the DOA matrix according to the properties of the covariance matrix. Through the eigendecomposition of the DOA matrix, the signal direction vector and signal direction elements to be estimated can be directly obtained, and the signal parameters can be estimated from this, thereby completely avoiding the polynomial search, and the calculation amount is relatively small, but because the array is not fully used to receive the signal The autocorrelation information and cross-correlation information of the DOA angle and frequency joint estimation performance is low. Contents of the invention [0003] The technical problem to be solved by the prese...

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Application Information

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IPC IPC(8): G01S3/14
CPCG01S3/14
Inventor 戴祥瑞张小飞
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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