TDOA Estimation With Compressive Sensing Measurements and Hadamard Matrix

• Published in: IEEE transactions on aerospace and electronic systems Vol. 54; no. 6; pp. 3137 - 3142
• Main Authors: Salari, Soheil, Chan, Francois, Chan, Yiu-Tong, Read, William
• Format: Journal Article
• Language: English
• Published: New York IEEE 01-12-2018; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Atmospheric measurements; Bandwidth; Compressed sensing (CS); Estimation; Hadamard matrix; localization; Particle measurements; Receivers; Sensors; time-difference-of-arrival (TDOA)
• ISSN: 0018-9251; 1557-9603
• DOI: 10.1109/TAES.2018.2826230

This paper employs a special property of the Hadamard matrix to develop a novel compressive sensing (CS) based framework that eliminates the complex reconstruction step required by standard CS methods. In particular, time-difference-of-arrivals (TDOAs) of a signal at different receivers involved in positioning of unknown sources are directly estimated from CS measurements, without any attempt to reconstruct the full signals. Although this approach is designed for TDOA estimation, it is also capable of accommodating other CS applications.