Phase-Based 3-D Source Localization Using 1-b Quantized Measurements Under Uniform Circular Array

• Published in: IEEE sensors letters Vol. 4; no. 3; pp. 1 - 4
• Main Authors: Chen, Xin, Liu, Zhen, Liu, Tianpeng, Peng, Bo, Su, Xiaolong, Li, Xiang
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.03.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: 1-b quantization; 3-D source localization; Algorithms; Approximation; Approximation algorithms; Arrays; Correlation coefficients; Direction-of-arrival estimation; Estimation; Localization; Mathematical analysis; Measurement uncertainty; Phase measurement; phase-based algorithm; Quantization (signal); Sensor signals processing; Signal processing; Signal to noise ratio; Taylor series; uniform circular array (UCA)
• ISSN: 2475-1472; 2475-1472
• DOI: 10.1109/LSENS.2020.2973277

1-b quantization has become an important topic in modern signal processing. In this letter, we consider the problem of 3-D source localization by combining 1-b quantized measurements and the phase-based algorithm under a uniform circular array. With analysis, unquantized and 1-b quantized cross-correlation coefficient can be approximated by the arcsine law and Taylor series approximation under sufficiently low signal-to-noise ratio (SNR). Even at high SNR levels, the approximated error only slightly affects source localization. Therefore, under 1-b quantized measurements, the phase-based algorithm can be straightforwardly applied to source's 3-D localization without extra preprocessing. Numerical examples demonstrate the theoretical analysis.