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Main Authors: Bai, Longxin, Zhang, Jingchao, Qiao, Liyan
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2602.04169
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author Bai, Longxin
Zhang, Jingchao
Qiao, Liyan
author_facet Bai, Longxin
Zhang, Jingchao
Qiao, Liyan
contents Accurate, high-resolution, and real-time DOA estimation is a cornerstone of environmental perception in automotive radar systems. While sparse signal recovery techniques offer super-resolution and high-precision estimation, their prohibitive computational complexity remains a primary bottleneck for practical deployment. This paper proposes a sparse DOA estimation scheme specifically tailored for the stringent requirements of automotive radar such as limited computational resources, restricted array apertures, and single-snapshot constraints. By introducing the concept of the spatial angular pseudo-derivative and incorporating this property as a constraint into a standard L0-norm minimization problem, we formulate an objective function that more faithfully characterizes the physical properties of the DOA problem. The associated solver, designated as the SAPD search algorithm, naturally transforms the high-dimensional optimization task into an efficient grid-search scheme. The SAPD algorithm circumvents high-order matrix inversions and computationally intensive iterations. We provide an analysis of the computational complexity and convergence properties of the proposed algorithm. Numerical simulations and experimental validation demonstrate that the SAPD method achieves a superior balance of real-time efficiency, high precision, and super-resolution, making it highly suitable for next-generation automotive radar applications.
format Preprint
id arxiv_https___arxiv_org_abs_2602_04169
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Spatial Angular Pseudo-Derivative Search: A Single Snapshot Super-resolution Sparse DOA Scheme with Potential for Practical Application
Bai, Longxin
Zhang, Jingchao
Qiao, Liyan
Signal Processing
Accurate, high-resolution, and real-time DOA estimation is a cornerstone of environmental perception in automotive radar systems. While sparse signal recovery techniques offer super-resolution and high-precision estimation, their prohibitive computational complexity remains a primary bottleneck for practical deployment. This paper proposes a sparse DOA estimation scheme specifically tailored for the stringent requirements of automotive radar such as limited computational resources, restricted array apertures, and single-snapshot constraints. By introducing the concept of the spatial angular pseudo-derivative and incorporating this property as a constraint into a standard L0-norm minimization problem, we formulate an objective function that more faithfully characterizes the physical properties of the DOA problem. The associated solver, designated as the SAPD search algorithm, naturally transforms the high-dimensional optimization task into an efficient grid-search scheme. The SAPD algorithm circumvents high-order matrix inversions and computationally intensive iterations. We provide an analysis of the computational complexity and convergence properties of the proposed algorithm. Numerical simulations and experimental validation demonstrate that the SAPD method achieves a superior balance of real-time efficiency, high precision, and super-resolution, making it highly suitable for next-generation automotive radar applications.
title Spatial Angular Pseudo-Derivative Search: A Single Snapshot Super-resolution Sparse DOA Scheme with Potential for Practical Application
topic Signal Processing
url https://arxiv.org/abs/2602.04169