TY - JOUR
T1 - Modified rao test for multichannel adaptive signal detection
AU - Liu, Jun
AU - Liu, Weijian
AU - Chen, Bo
AU - Liu, Hongwei
AU - Li, Hongbin
AU - Hao, Chengpeng
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2016/2/1
Y1 - 2016/2/1
N2 - The problem of detecting a subspace signal is studied in colored Gaussian noise with an unknown covariance matrix. In the subspace model, the target signal belongs to a known subspace, but with unknown coordinates. We first present a new derivation of the Rao test based on the subspace model, and then propose a modified Rao test (MRT) by introducing a tunable parameter. The MRT is more general, which includes the Rao test and the generalized likelihood ratio test as special cases. Moreover, closed-form expressions for the probabilities of false alarm and detection of the MRT are derived, which show that the MRT bears a constant false alarm rate property against the noise covariance matrix. Numerical results demonstrate that the MRT can offer the flexibility of being adjustable in the mismatched case where the target signal deviates from the presumed signal subspace. In particular, the MRT provides better mismatch rejection capacities as the tunable parameter increases.
AB - The problem of detecting a subspace signal is studied in colored Gaussian noise with an unknown covariance matrix. In the subspace model, the target signal belongs to a known subspace, but with unknown coordinates. We first present a new derivation of the Rao test based on the subspace model, and then propose a modified Rao test (MRT) by introducing a tunable parameter. The MRT is more general, which includes the Rao test and the generalized likelihood ratio test as special cases. Moreover, closed-form expressions for the probabilities of false alarm and detection of the MRT are derived, which show that the MRT bears a constant false alarm rate property against the noise covariance matrix. Numerical results demonstrate that the MRT can offer the flexibility of being adjustable in the mismatched case where the target signal deviates from the presumed signal subspace. In particular, the MRT provides better mismatch rejection capacities as the tunable parameter increases.
KW - Adaptive detection
KW - Rao test
KW - constant false alarm rate
KW - mismatched signal rejection
KW - subspace signal detection
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U2 - 10.1109/TSP.2015.2491892
DO - 10.1109/TSP.2015.2491892
M3 - Article
AN - SCOPUS:85009343235
SN - 1053-587X
VL - 64
SP - 714
EP - 725
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
IS - 3
M1 - 7299689
ER -