TY - GEN
T1 - Finite-sample optimal joint target detection and parameter estimation by MIMO radars
AU - Tajer, Ali
AU - Jajamovich, Guido H.
AU - Wang, Xiaodong
AU - Moustakides, George V.
PY - 2009
Y1 - 2009
N2 - We consider MIMO radar systems with widely-spaced antennas. We treat the problem of detecting extended targets when one or more target parameters of interest are unknown. We provide a composite hypothesis testing framework for jointly detecting the target along with such parameter estimation while only a finite number of signal samples are available. The test offered is optimal in a Neyman-Pearson-like sense such that it offers a Bayesian-optimal detection test, minimizes the average maximum likelihood parameter estimation error subject to an upper bound constraint on the false-alarm probability, and requires a finite number of samples. While the test can be applied for concurrently detecting the target along with estimating any unknown parameter of interest, we consider the problem of detecting a target which lies in an unknown space range and find the range through estimating the time delays that the emitted waveforms undergo from being illuminated to the target until being observed by the receive antennas. We also analyze the diversity gain which we define as the rate that the probability of mis-detecting a target decays with the increasing SNR for a controlled false-alarm and show that for a MIMO radar with Nt and Nr transmit and receive antennas, respectively, the diversity gain is Nt × Nr.
AB - We consider MIMO radar systems with widely-spaced antennas. We treat the problem of detecting extended targets when one or more target parameters of interest are unknown. We provide a composite hypothesis testing framework for jointly detecting the target along with such parameter estimation while only a finite number of signal samples are available. The test offered is optimal in a Neyman-Pearson-like sense such that it offers a Bayesian-optimal detection test, minimizes the average maximum likelihood parameter estimation error subject to an upper bound constraint on the false-alarm probability, and requires a finite number of samples. While the test can be applied for concurrently detecting the target along with estimating any unknown parameter of interest, we consider the problem of detecting a target which lies in an unknown space range and find the range through estimating the time delays that the emitted waveforms undergo from being illuminated to the target until being observed by the receive antennas. We also analyze the diversity gain which we define as the rate that the probability of mis-detecting a target decays with the increasing SNR for a controlled false-alarm and show that for a MIMO radar with Nt and Nr transmit and receive antennas, respectively, the diversity gain is Nt × Nr.
KW - Delay estimation
KW - Diversity gain
KW - Finite samples
KW - GLRT
KW - MIMO radar
KW - Target detection
UR - http://www.scopus.com/inward/record.url?scp=77953829506&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77953829506&partnerID=8YFLogxK
U2 - 10.1109/ACSSC.2009.5470007
DO - 10.1109/ACSSC.2009.5470007
M3 - Conference contribution
AN - SCOPUS:77953829506
SN - 9781424458271
T3 - Conference Record - Asilomar Conference on Signals, Systems and Computers
SP - 1176
EP - 1180
BT - Conference Record - 43rd Asilomar Conference on Signals, Systems and Computers
T2 - 43rd Asilomar Conference on Signals, Systems and Computers
Y2 - 1 November 2009 through 4 November 2009
ER -