DocumentCode
75150
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
Volume
20
Issue
11
fYear
2013
fDate
Nov. 2013
Firstpage
1086
Lastpage
1089
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;
fLanguage
English
Journal_Title
Signal Processing Letters, IEEE
Publisher
ieee
ISSN
1070-9908
Type
jour
DOI
10.1109/LSP.2013.2277371
Filename
6576130
Link To Document