Title :
Rao and Wald Tests for Distributed Targets Detection With Unknown Signal Steering
Author :
Weijian Liu ; Wenchong Xie ; Yongliang Wang
Author_Institution :
Coll. of Electron. Sci. & Eng., Nat. Univ. of Defense Technol., Changsha, China
Abstract :
In this letter, we consider the problem of detecting a distributed target with unknown signal steering in the Gaussian noise. We derive the Rao and Wald tests. It is found that the Rao test coincides with the so-called modified two-step generalized likelihood ratio test (M2S-GLRT), while the Wald test is equivalent to the plain two-step GLRT (2S-GLRT). We also give some intuitive interpretations about the Rao and Wald tests, as well as other existing detectors.
Keywords :
Gaussian noise; maximum likelihood estimation; signal detection; Gaussian noise; M2S-GLRT; Rao test; Wald test; distributed target detection; generalized likelihood ratio test; signal steering; two-step GLRT; Colored noise; Covariance matrices; Detectors; Materials; Maximum likelihood estimation; Object detection; Radar; Distributed targets; Rao test; Wald test; unknown signal steering;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2013.2277371
