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A DOA Estimation Method for Nested Arrays Based on Fourth-Order Cumulative

A direction of arrival and array technology, applied in the field of signal processing, can solve the problems of resource waste in reconnaissance and positioning, the number of signals cannot meet the practical application, and the signal cannot be estimated, so as to improve the utilization rate of the array and reduce the number of array elements. , the effect of increasing the number of sources

Active Publication Date: 2018-06-05
XIDIAN UNIV
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  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

This method has the ability to estimate the number of signals that is more than the number of array elements, but the method still has the disadvantage that when the number of array elements is fixed, the number of signals that can be estimated sometimes still cannot meet the practical application
However, most of the existing angle-of-arrival estimation methods based on fourth-order cumulants are for uniform arrays, and for nested array algorithms, the maximum utilization of array elements cannot be achieved due to the lack of reasonable setting of array element positions.
In practical applications, given a certain number of array elements, if these array elements cannot be reasonably used to obtain enough virtual array elements, enough signals cannot be estimated, resulting in a waste of reconnaissance and positioning resources

Method used

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  • A DOA Estimation Method for Nested Arrays Based on Fourth-Order Cumulative
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  • A DOA Estimation Method for Nested Arrays Based on Fourth-Order Cumulative

Examples

Experimental program
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Effect test

example 1

[0068] Simulation example 1. Construct a double-layer nested array structure.

[0069] 1.1) Utilize the first uniform linear array a and the second uniform linear array b to form a layer of nested arrays, set N=2, M=2, the first uniform linear array a contains 3 array elements, and the array element spacing is d, The second uniform linear array b contains 3 array elements, and the array element spacing is 3d, and the first array element of the first uniform linear array a is placed at 1d position;

[0070] 1.2) Calculate the number of virtual array elements A=2MN+2N-1=11 of a layer of nested array formed by the first uniform linear array a and the second uniform linear array b;

[0071] 1.3) Utilize the third uniform linear array c and the fourth uniform linear array f to form a two-layer nested array, set P=2, Q=2, the third uniform linear array c contains 2 array elements, and the array element spacing is 11d, The fourth uniform linear array f contains 2 array elements, and...

example 2

[0074] In simulation example 2, all virtual elements of the double-layer nested array are calculated according to the fourth-order cumulant.

[0075] 2.1) Let the element position of a layer of nested array formed by the first uniform linear array a and the second uniform linear array b be [1, 2, 3, 6]d;

[0076] 2.2) Set the element position of the two-layer nested array formed by the third uniform linear array c and the fourth uniform linear array f as [11, 22, 33, 66]d;

[0077] 2.3) Calculate the virtual arrays formed by each array element in the first-level nested array and each array element in the second-level nested array as [12,13,15,17]d, [23,24,26,28] d, [34,35,36,39]d, [67,68,70,72]d;

[0078] 2.4) According to the method and principle of the fourth-order cumulant calculation, use the above-mentioned virtual arrays to generate all the final virtual array elements, and the results are shown in Table 1.

[0079] Table 1 All virtual elements of double-layer nested a...

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Abstract

The invention discloses a nested array direction-of-arrival angle estimation method based on fourth-order cumulants, and mainly aims to solve the problem that the utilization rate of array elements is low and only a small number of signals are identified in the prior art. The method is implemented by the steps as follows: (1) building a one-layer nested array and a two-layer nested array; (2) acquiring the output signal of the one-layer nested array and the output signal of the two-layer nested array; (3) calculating all fourth-order cumulants according to the output signal of the one-layer nested array and the output signal of the two-layer nested array; (4) constructing a fourth-order cumulant matrix according to all the fourth-order cumulants; (5) calculating the noise subspace of the fourth-order cumulant matrix; (6) calculating the space spectrum according to the noise subspace of the fourth-order cumulant matrix and an array manifold matrix; and (7) drawing an amplitude spectrogram according to the space spectrum to get the direction-of-arrival angle. The number of signal sources identified by an array is increased greatly under a limited number of array elements. The method is suitable for target reconnaissance and passive location.

Description

technical field [0001] The invention belongs to the technical field of signal processing, in particular to a method for estimating the direction of arrival angle of array signals of electromagnetic signals, which can be used for reconnaissance and passive positioning of moving targets of aircraft and ships. Background technique [0002] Signal DOA estimation is an important branch in the field of array signal processing. It refers to the use of antenna arrays to inductively receive spatial acoustic signals and electromagnetic signals, and then use modern signal processing methods to quickly and accurately estimate the direction of the signal source. , has important application value in radar, sonar, wireless communication and other fields. With the continuous advancement of science and technology, there are higher and higher requirements for the degree of freedom that the array can achieve when estimating the signal direction of arrival. [0003] In the research on this pro...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01S3/14
CPCG01S3/14
Inventor 蔡晶晶宗汝赵晗希武斌李鹏苏瑶
Owner XIDIAN UNIV
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