Title :
Cramer-Rao performance bounds for simultaneous target and multipath positioning
Author :
Li Li ; Krolik, J.L.
Author_Institution :
Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA
Abstract :
This work considers the performance of none-light-of-sight (NLOS) target localization method using a distributed receiver array. The multipath propagation is modeled with single bounce reflection from unknown random scatters. A Simultaneous Target and Multipath Positioning (STAMP) method is proposed for jointly estimating the target and scatter positions given Time-of-Arrival (TOA) observations. The Cramer-Rao Lower Bound (CRLB) is derived for the STAMP method and analyzed to establish the identifiability of this joint estimation problem. The CRLB is also extended to the case of data association uncertainty in term of the Fisher Information Reduction Matrix, which is illustrated and further more discussed using numerical examples.
Keywords :
Global Positioning System; matrix algebra; radio receivers; radiowave propagation; sensor fusion; time-of-arrival estimation; CRLB; Cramer-Rao lower bound; Fisher information reduction matrix; NLOS target localization method; STAMP method; TOA observation; data association uncertainty; distributed receiver array; multipath positioning; multipath propagation model; none-light-of- sight target localization method; scatter position estimation; simultaneous target and multipath positioning method; single bounce reflection; target position estimation; time-of-arrival observation; unknown random scatter; Arrays; Computational modeling; Estimation; Receivers; Signal to noise ratio; Uncertainty; Vectors;
Conference_Titel :
Signals, Systems and Computers, 2013 Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
978-1-4799-2388-5
DOI :
10.1109/ACSSC.2013.6810689