Cai, J., Li, P., Liu, W. orcid.org/0000-0003-2968-2888 et al. (2 more authors) (2023) Analysis of the fourth-order co-array for a mixture of circular and noncircular signals. Digital Signal Processing, 133. 103857. ISSN 1051-2004
Abstract
A detailed analysis of the degrees of freedom (DOFs) (and therefore the maximum number of signals to be estimated) of the fourth-order sum and difference co-arrays for direction of arrival (DOA) estimation in the presence of circular, strictly noncircular and nonstrictly noncircular signals is presented. There are different ways in combining noncircularity, fourth-order cumulants and sparse arrays to increase the DOFs of the system for DOA estimation. However, there are some confusions or a lack of clarity in the combination. In this work, we aim to fill the gap and clarify some relevant issues by providing a detailed analysis for the fourth-order co-array for a mixture of circular, strictly noncircular and nonstrictly noncircular signals based on a general signal model, including consideration of the noncircular phases of signals in DOA estimation, the fourth-order co-array aperture by considering all the fourth-order cumulants, the difference in the number of signals to be resolved for the strictly and nonstrictly noncircular signals, and the general analysis of DOFs for a mixture of circular, strictly noncircular and nonstrictly noncircular signals based on either uniform or sparse arrays. Furthermore, the expansion and shift scheme with one sub-array being a nested array and another one being a stamp array is proposed, which provides the most DOFs among considered sparse array construction schemes.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022 Elsevier Inc. This is an author produced version of a paper subsequently published in Digital Signal Processing. Uploaded in accordance with the publisher's self-archiving policy. Article available under the terms of the CC-BY-NC-ND licence (https://creativecommons.org/licenses/by-nc-nd/4.0/). |
Keywords: | Sparse arrays; Fourth-order co-array; Sum co-array; Difference co-array; Noncircularity |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Electronic and Electrical Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 07 Dec 2022 10:45 |
Last Modified: | 26 Sep 2024 09:42 |
Status: | Published |
Publisher: | Elsevier BV |
Refereed: | Yes |
Identification Number: | 10.1016/j.dsp.2022.103857 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:194182 |