Version 1
: Received: 6 December 2023 / Approved: 6 December 2023 / Online: 8 December 2023 (03:31:10 CET)
How to cite:
Gong, P.; Zhang, X. An Improved Ambiguity-free Unfolded Co-prime Linear Array Design for DOA Estimation. Preprints2023, 2023120551. https://doi.org/10.20944/preprints202312.0551.v1
Gong, P.; Zhang, X. An Improved Ambiguity-free Unfolded Co-prime Linear Array Design for DOA Estimation. Preprints 2023, 2023120551. https://doi.org/10.20944/preprints202312.0551.v1
Gong, P.; Zhang, X. An Improved Ambiguity-free Unfolded Co-prime Linear Array Design for DOA Estimation. Preprints2023, 2023120551. https://doi.org/10.20944/preprints202312.0551.v1
APA Style
Gong, P., & Zhang, X. (2023). An Improved Ambiguity-free Unfolded Co-prime Linear Array Design for DOA Estimation. Preprints. https://doi.org/10.20944/preprints202312.0551.v1
Chicago/Turabian Style
Gong, P. and Xiaofei Zhang. 2023 "An Improved Ambiguity-free Unfolded Co-prime Linear Array Design for DOA Estimation" Preprints. https://doi.org/10.20944/preprints202312.0551.v1
Abstract
This paper considers the direction of arrival (DOA) estimation problem of phase ambiguity for unfolded coprime linear array (UCLA). The existing most common stacking subarray-based method can tackle the phase ambiguity problem. However, the method is not always true. For a given DOA, it has its corresponding steering vector, but if there are two DOAs which have the same steering vectors with the given DOA for different subarrays, the phase ambiguity problem still arises. A modified method, which defines a decision variable and uses the classic beamforming technique to estimate the DOAs is proposed. However, this method needs additional algorithm to distinguish the true DOAs besides multiple signal classification (MUSIC) spectrum. And sometimes this method is not reliable if the decision variable is not chosen appropriately. Therefore, based on the UCLA, we reconstruct the array to design an improved UCLA called IUCLA. With moving the reference element, the linear relationship among the directional vectors can be broken. In this way, we can directly utilize the MUSIC algorithm to estimate with no additional algorithm. The proposed method can solve the phase ambiguity problem and it does not demand other technique to decrease the complexity. Moreover, the Cramer-Rao Bound (CRB), as the lower bound of the unbiased estimation, is provided and numerical simulations are given to demonstrate the effectiveness and superiority of the proposed method.
Keywords
direction of arrival estimation; improved array arrangement design; improved unfolded coprime linear array; Cramer-Rao bound; multiple signal classification
Subject
Engineering, Electrical and Electronic Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
