Title :
Target Localization from Bistatic Range Measurements in Multi-Transmitter Multi-Receiver Passive Radar
Author :
Noroozi, Ali ; Sebt, Mohammad Ali
Author_Institution :
Dept. of Electr. Eng., K.N. Toosi Univ. of Technol., Tehran, Iran
Abstract :
A closed-form weighted least squares method for finding a target position in the presence of multiple transmitters and multiple receivers from time difference of arrival (TDOA) measurements is proposed. The method is based on the intersection of the ellipsoids defined by bistatic range (BR) measurements from a number of transmitters and receivers. The localization formula is derived from the minimization of the weighted equation error energy. To produce a substantial improvement in the performance of the method, a weighting matrix is derived in two different conditions, which one of them leads to an approximate maximum likelihood (ML) and the other one results in a best linear unbiased estimator (BLUE). Numerical simulations are included to support and corroborate the theoretical developments.
Keywords :
least squares approximations; matrix algebra; maximum likelihood estimation; passive radar; position measurement; radar receivers; radar signal processing; radar transmitters; time-of-arrival estimation; BLUE; BR measurement; TDOA measurement; approximate maximum likelihood; best linear unbiased estimator; bistatic range measurement; closed-form weighted least squares method; multitransmitter multireceiver passive radar; target localization; time difference of arrival measurement; weighted equation error energy; weighting matrix; Least squares approximations; Maximum likelihood estimation; Noise; Passive radar; Time difference of arrival; Bistatic range (BR); TDOA; target position; weighted least squares (WLS); weighting matrix;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2015.2491961
