TY - GEN
T1 - Asymptotic distribution of generalized likelihood ratio test under model misspecification with application to cooperative radar-communications
AU - Bondre, Akshay S.
AU - Richmond, Christ D.
N1 - Publisher Copyright: © 2021 IEEE
PY - 2021
Y1 - 2021
N2 - The goal of this paper is to develop an expression for the asymptotic distribution of the generalized likelihood ratio test (GLRT) statistic under model misspecification, that is when the assumed data model is different from the true model. Under such a scenario, the asymptotic distribution under the null hypothesis was by derived by Foutz and Srivastava. A general expression for this distribution under the null as well as the alternative hypothesis under model misspecification has been derived in this paper, on the same lines as the derivation provided by Kay for the case when there is no model misspecification. Using this expression, the asymptotic receiver operating characteristic (ROC) performance of a cooperative radar-communications receiver has been analyzed, when the communications (comms.) channel gains are assumed to be constant, but in reality may vary with time.
AB - The goal of this paper is to develop an expression for the asymptotic distribution of the generalized likelihood ratio test (GLRT) statistic under model misspecification, that is when the assumed data model is different from the true model. Under such a scenario, the asymptotic distribution under the null hypothesis was by derived by Foutz and Srivastava. A general expression for this distribution under the null as well as the alternative hypothesis under model misspecification has been derived in this paper, on the same lines as the derivation provided by Kay for the case when there is no model misspecification. Using this expression, the asymptotic receiver operating characteristic (ROC) performance of a cooperative radar-communications receiver has been analyzed, when the communications (comms.) channel gains are assumed to be constant, but in reality may vary with time.
KW - Asymptotic distribution
KW - Cooperative radar-comms. system
KW - GLRT
KW - Model misspecification
UR - https://www.scopus.com/pages/publications/85115163026
UR - https://www.scopus.com/pages/publications/85115163026#tab=citedBy
U2 - 10.1109/ICASSP39728.2021.9414036
DO - 10.1109/ICASSP39728.2021.9414036
M3 - Conference contribution
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 8463
EP - 8467
BT - 2021 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2021 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2021 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2021
Y2 - 6 June 2021 through 11 June 2021
ER -