TY - GEN
T1 - The PAMF detector is a parametric rao test
AU - Li, Hongbin
AU - Sohn, Kwang June
AU - Himed, Braham
PY - 2005
Y1 - 2005
N2 - The Rao test for an adaptive signal detection problem in space-time adaptive processing (STAP) applications is derived by modeling the disturbance signal as a multichannel autoregressive (AR) process. Interestingly, the Rao test takes a form identical to that of the recently introduced parametric adaptive matched filter (PAMF) detector. The equivalence corroborates that the Rao/PAMF detector is an asymptotic generalized likelihood ratio test (GLRT). The asymptotic distribution of the test statistic is obtained in closed-form, which is a central Chisquared distribution with two degrees of freedom under H 0 and, respectively, a noncentral Chi-squared distribution with two degrees of freedom and a noncentrality parameter determined by the output signal-to-noise-and-interference (SINR) ratio of a temporal whitening filter. Therefore, the Rao/PAMF achieves asymptotic constant false alarm rate (CFAR). Numerical results show that these results are accurate in predicting the performance of the Rao/PAMF detector even with moderate data support.
AB - The Rao test for an adaptive signal detection problem in space-time adaptive processing (STAP) applications is derived by modeling the disturbance signal as a multichannel autoregressive (AR) process. Interestingly, the Rao test takes a form identical to that of the recently introduced parametric adaptive matched filter (PAMF) detector. The equivalence corroborates that the Rao/PAMF detector is an asymptotic generalized likelihood ratio test (GLRT). The asymptotic distribution of the test statistic is obtained in closed-form, which is a central Chisquared distribution with two degrees of freedom under H 0 and, respectively, a noncentral Chi-squared distribution with two degrees of freedom and a noncentrality parameter determined by the output signal-to-noise-and-interference (SINR) ratio of a temporal whitening filter. Therefore, the Rao/PAMF achieves asymptotic constant false alarm rate (CFAR). Numerical results show that these results are accurate in predicting the performance of the Rao/PAMF detector even with moderate data support.
UR - http://www.scopus.com/inward/record.url?scp=33847683865&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33847683865&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:33847683865
SN - 1424401313
SN - 9781424401314
T3 - Conference Record - Asilomar Conference on Signals, Systems and Computers
SP - 1311
EP - 1315
BT - Conference Record of The Thirty-Ninth Asilomar Conference on Signals, Systems and Computers
T2 - 39th Asilomar Conference on Signals, Systems and Computers
Y2 - 28 October 2005 through 1 November 2005
ER -