Discrete time-frequency (time-scale) techniques for time delay and Doppler estimation

Abdeldjalil Ouahabi (1) , Denis Kouamé (1, 2)

1 LUSSI - Laboratoire Ultrasons Signaux et Instrumentation
2 IRIT-TCI - Traitement et Compréhension d’Images

This paper is focused on joint fine estimation of time delay and Doppler shift based on the maximum likelihood criteria. Joint estimation of time delay and Doppler stretch of a random signal received by two (or more) sensors is required in many signal processing applications. This problem can be viewed as the determination of the effects of a time-varying channel on the emitted signal. It is shown that discrete time-frequency (time-scale) techniques provide the correct system characterization. These techniques are simple, fast and efficient. Moreover, in areas where the measurements are repeatable, such as ultrasonic imaging and nondestructive evaluation, the process of averaging can be used to improve the SNR. In order to implement the simultaneous estimation of time delay and Doppler coefficient according to the maximum likelihood criterion, two practical problems are investigated: the interpolation method used to obtain a fine resolution of the estimates and the scaling procedure which is not a trivial problem.

Mots clés: Time frequency analysis; Delay effects; Delay estimation; Maximum likelihood estimation; Signal processing; Doppler shift; Sensor phenomena and characterization; Time-varying channels; Area measurement; Ultrasonic variables measurement

Domaines: Traitement du signal et de l'image [eess.SP]

Abdeldjalil Ouahabi, Denis Kouamé. Discrete time-frequency (time-scale) techniques for time delay and Doppler estimation. 6th IEEE International Conference on Electronics, Circuits, and Systems (ICECS 1999), Sep 1999, Paphos, Cyprus. pp.1457--1460, ⟨10.1109/ICECS.1999.814444⟩. ⟨hal-03153369⟩