Rao and Wald Tests for Distributed Targets Detection With Unknown Signal Steering

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 te...

Full description

Saved in:
Bibliographic Details
Published in:IEEE signal processing letters 2013-11, Vol.20 (11), p.1086-1089
Main Authors: Weijian Liu, Wenchong Xie, Yongliang Wang
Format: Article
Language:English
Subjects:
Colored noise
Covariance matrices
Detectors
Distributed targets
Materials
Maximum likelihood estimation
Object detection
Radar
Rao test
unknown signal steering
Wald test
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2013.2277371