Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array
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Date
2024-10
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Journal Article
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yes
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Abstract
In this paper, we develop a new technique to obtain improved estimates for the computational resolution limits in two-dimensional super-resolution problems and present a new idea for developing two-dimensional super-resolution algorithms. To be more specific, our main contributions are fourfold: (1) Our work improves the resolution estimates for number detection and location recovery in two-dimensional super-resolution problems; (2) As a consequence, we derive a stability result for a sparsity-promoting algorithm in two-dimensional super-resolution problems [or direction of arrival Problems (DOA)]. The stability result exhibits the optimal performance of sparsity promoting in solving such problems; (3) Inspired by the new techniques, we propose a new coordinate-combination-based model order detection algorithm for two-dimensional DOA estimation and theoretically demonstrate its optimal performance, and (4) we also propose a new coordinate-combination-based MUSIC algorithm for super-resolving sources in two-dimensional DOA estimation. It has excellent performance and enjoys some advantages compared to the conventional DOA algorithms.
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published
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Journal / series
Volume
24 (5)
Pages / Article No.
1517 - 1566
Publisher
Springer
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Software
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Subject
Two-dimensional super-resolution; Direction of arrival algorithms; Resolution estimates; Stability results; Sparsity-promoting algorithm; Model order detection; MUSIC algorithm
Organisational unit
09504 - Ammari, Habib / Ammari, Habib
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Funding
200307 - Mathematics of dielectric artificial media (SNF)