One-Bit Gridless DOA Estimation with Multiple Measurements Exploiting Accelerated Proximal Gradient Algorithm

With low hardware cost and power consumption, direction-of-arrival (DOA) estimation exploiting one-bit quantized array data has become an attractive topic. In this paper, the gridless compressed sensing (CS) with multiple measurement vectors for one-bit DOA estimation is investigated. First, the one...

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Bibliographic Details
Published in:Circuits, systems, and signal processing Vol. 41; no. 2; pp. 1100 - 1114
Main Authors: Tang, Wen-Gen, Jiang, Hong, Zhang, Qi
Format: Journal Article
Language:English
Published: New York Springer US 01.02.2022
Springer Nature B.V
Subjects:
Algorithms
Circuits
Circuits and Systems
Direction of arrival
Electrical Engineering
Electronics and Microelectronics
Engineering
Instrumentation
Mathematical analysis
Methods
Noise
Numerical methods
Power
Power consumption
Semidefinite programming
Signal processing
Signal,Image and Speech Processing
DOA estimation
One-bit quantizer
Atomic norm minimization
Accelerated proximal gradient
Gridless compressed sensing
ISSN:0278-081X, 1531-5878
Online Access:Get full text
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Summary:With low hardware cost and power consumption, direction-of-arrival (DOA) estimation exploiting one-bit quantized array data has become an attractive topic. In this paper, the gridless compressed sensing (CS) with multiple measurement vectors for one-bit DOA estimation is investigated. First, the one-bit quantized signal model is established. Then an atomic norm minimization scheme is proposed based on the output of one-bit quantizer, in which the objective function is reformulated as a semidefinite programming problem combined with a one-sided l 1 -norm constraint, representing the sign inconsistency between the quantized and unquantized measurements. To efficiently solve such a problem and reduce its computational complexity, an accelerated proximal gradient-based algorithm is developed. The proposed approach outperforms the one-bit MUSIC in a small number of measurements, and avoids the grid-mismatch issue of several existing one-bit CS methods. Numerical experiments are conducted to validate the superiorities of the proposed one-bit DOA estimation approach in accuracy and running time.
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ISSN:0278-081X
1531-5878
DOI:10.1007/s00034-021-01829-z