Signal arrival direction self-correction method for sensor array

A sensor array, direction of arrival technology, applied in the field of sensors, can solve problems such as difficulty in obtaining prior statistical information

Active Publication Date: 2017-07-25
CHINA UNIONPAY
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Problems solved by technology

Another advantage of the MAP self-correction algorithm is that it does not need to rely on the array geometry and can solve the relevant incident signal source; but in the actual engineering environment, the prior sta

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  • Signal arrival direction self-correction method for sensor array

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[0045] As a preferred implementation, the iteration stop condition is: Among them, δ is a small positive number preset, is the estimated value of the signal direction of arrival for the ith iteration.

[0046] As the theoretical basis of the above embodiments, the derivation process of the relevant formulas of the present invention is described below.

[0047] When there is a phase disturbance error in the sensor element, the output of the array at time t can be expressed as:

[0048] y(t)=Γ(γ)A(θ)s(t)+n(t) (1)

[0049] In the above formula (1), the input signal vector and the noise vector are respectively

[0050] s(t)=[s 1 (t),s 2 (t),...,s p (t)] T (2)

[0051] as well as

[0052] n(t)=[n 1 (t),n 2 (t),...,n M (t)] T (3)

[0053] The ideal array direction matrix and direction vector are respectively

[0054] A(θ)=[a(θ 1 ), a(θ 2 ),…,a(θ p )] (4)

[0055] in,

[0056]

[0057] The phase error of the array element is represented by a diagonal matrix...

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Abstract

The invention relates to an arrival direction self-correction method for a sensor array. According to the method, a noise subspace estimated value is determined; an array phase error of the sensor array is initialized, and an initial value of the signal arrival direction is estimated through utilizing an MUSIC algorithm; based on the calculation value of the signal arrival direction, a Hermitian positive definite matrix is calculated, and the Hermitian positive definite matrix satisfies a first equation; an array element phase error is made to satisfy the first limit condition, and the array phase error is converted to satisfy a second equation; the first equation and the second equation are solved through utilizing a Lagrangian multiplier method to acquire a vector estimated value of the array phase error; a correction value of the signal arrival direction is acquired through utilizing the MUSIC algorithm or a high resolution subspace algorithm; and iteration of the previous steps is repeatedly carried out till iteration stop conditions are satisfied. The method is advantaged in that dependence on special structure characteristics of an array output covariance matrix is avoided, excellent performance is realized under the condition of limited sampling data, and influence of the sensor array error on the arrival direction can be effectively reduced.

Description

technical field [0001] The invention relates to the technical field of sensors, and more specifically relates to a signal direction-of-arrival self-correction method for sensor arrays. Background technique [0002] Array signal processing is an important branch of signal processing, and its applications involve many civil and military fields such as communication, sonar, radar, geological exploration, and radio astronomy. The basic principle is to arrange multiple sensors at different positions in space to form a sensor array, and use the array to sample the spatial incident signal in the spatial domain and time domain, so as to achieve the purpose of extracting the signal characteristic information of interest. Compared with the traditional single directional sensor, the array composed of multiple sensors has the advantages of strong interference suppression ability, flexible wave velocity control and high spatial resolution ability. [0003] Most of the high-resolution DO...

Claims

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Application Information

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IPC IPC(8): G01S3/02G01S3/12G01S3/04
CPCG01S3/023G01S3/04G01S3/12
Inventor 曹祥
Owner CHINA UNIONPAY
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