Title :
Cramér-Rao bound for time reversal active array direction of arrival estimators in multipath environments
Author :
Foroozan, Foroohar ; Asif, Amir
Author_Institution :
Dept. of Comput. Sci. & Eng., York Univ., Toronto, ON, Canada
Abstract :
In this paper, we study the Cramér-Rao bound (CRB) for time reversal (TR) based direction of arrival (DOA) estimators operating in a rich multipath environment. Our setup is based on an array of active antennas capable of estimating the range and DOA of a passive target. We derive an analytical expression for the CRB of the TR/DOA estimator and compare it with that of the conventional DOA estimator by expressing the two CRBs in terms of the multipath parameters (multipath´s attenuations and delays). Our analytical results are verified by running Ground Penetrating Radar (GPR) simulations using the electromagnetic Finite Difference Time Domain (FDTD) models. Our simulations illustrate the potential of superior performance with gains of up to 15 dB possible with the TR/DOA estimator over the conventional approach.
Keywords :
active antenna arrays; direction-of-arrival estimation; estimation theory; finite difference time-domain analysis; ground penetrating radar; multipath channels; Cramer-Rao bound; active antenna array; direction of arrival estimators; electromagnetic finite difference time domain; ground penetrating radar; multipath attenuations; multipath delays; multipath environments; passive target; time reversal active array; Analytical models; Antenna arrays; Attenuation; Delay estimation; Direction of arrival estimation; Electromagnetic analysis; Electromagnetic modeling; Finite difference methods; Ground penetrating radar; Time domain analysis; Array Signal Processing; Cramér-Rao Bounds; DOA Estimation; Multipath; Range Estimation; Time Reversal;
Conference_Titel :
Acoustics Speech and Signal Processing (ICASSP), 2010 IEEE International Conference on
Conference_Location :
Dallas, TX
Print_ISBN :
978-1-4244-4295-9
Electronic_ISBN :
1520-6149
DOI :
10.1109/ICASSP.2010.5496261