A Sum-Difference Expansion Scheme for Sparse Array Construction Based on the Fourth-Order Difference Co-Array

Zixiang Yang; Qing Shen; Wei Liu; Wei Cui

doi:10.1109/LSP.2022.3232302

A Sum-Difference Expansion Scheme for Sparse Array Construction Based on the Fourth-Order Difference Co-Array

Zixiang Yang, Qing Shen^*, Wei Liu, Wei Cui

^*Corresponding author for this work

School of Information and Electronics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

A generalized sum-difference expansion scheme is proposed to construct sparse arrays based on the fourth-order difference co-array with increased degrees of freedom (DOFs). Different from existing structures, both the second-order sum and difference co-arrays are exploited in array construction under this scheme, leading to a large consecutive fourth-order difference co-array with its number of uniform DOFs (uDOFs) derived. To optimize the provided uDOFs, required design properties of the initial prototype arrays are discussed. Three examples are then provided to demonstrate its superior performance over existing structures in both resolution capacity and estimation accuracy.

Original language	English
Pages (from-to)	2647-2651
Number of pages	5
Journal	IEEE Signal Processing Letters
Volume	29
DOIs	https://doi.org/10.1109/LSP.2022.3232302
Publication status	Published - 2022

Keywords

DOA estimation
Difference co-array
fourth-order
sparse array
sum co-array

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10.1109/LSP.2022.3232302

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title = "A Sum-Difference Expansion Scheme for Sparse Array Construction Based on the Fourth-Order Difference Co-Array",

abstract = "A generalized sum-difference expansion scheme is proposed to construct sparse arrays based on the fourth-order difference co-array with increased degrees of freedom (DOFs). Different from existing structures, both the second-order sum and difference co-arrays are exploited in array construction under this scheme, leading to a large consecutive fourth-order difference co-array with its number of uniform DOFs (uDOFs) derived. To optimize the provided uDOFs, required design properties of the initial prototype arrays are discussed. Three examples are then provided to demonstrate its superior performance over existing structures in both resolution capacity and estimation accuracy.",

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AU - Yang, Zixiang

AU - Shen, Qing

AU - Liu, Wei

AU - Cui, Wei

PY - 2022

Y1 - 2022

N2 - A generalized sum-difference expansion scheme is proposed to construct sparse arrays based on the fourth-order difference co-array with increased degrees of freedom (DOFs). Different from existing structures, both the second-order sum and difference co-arrays are exploited in array construction under this scheme, leading to a large consecutive fourth-order difference co-array with its number of uniform DOFs (uDOFs) derived. To optimize the provided uDOFs, required design properties of the initial prototype arrays are discussed. Three examples are then provided to demonstrate its superior performance over existing structures in both resolution capacity and estimation accuracy.

AB - A generalized sum-difference expansion scheme is proposed to construct sparse arrays based on the fourth-order difference co-array with increased degrees of freedom (DOFs). Different from existing structures, both the second-order sum and difference co-arrays are exploited in array construction under this scheme, leading to a large consecutive fourth-order difference co-array with its number of uniform DOFs (uDOFs) derived. To optimize the provided uDOFs, required design properties of the initial prototype arrays are discussed. Three examples are then provided to demonstrate its superior performance over existing structures in both resolution capacity and estimation accuracy.

KW - DOA estimation

KW - Difference co-array

KW - fourth-order

KW - sparse array

KW - sum co-array

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EP - 2651

JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

ER -

A Sum-Difference Expansion Scheme for Sparse Array Construction Based on the Fourth-Order Difference Co-Array

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