The heuristic, GLRT, and MAP detectors for double differential Modulation are identical

Author

Stoica, Petre ; Liu, Jianhua ; Li, Jian ; Prasad, M.A.

Author_Institution

Dept. of Inf. Technol., Uppsala Univ., Sweden

Volume

51

Issue

5

fYear

2005

fDate

5/1/2005 12:00:00 AM

Firstpage

1860

Lastpage

1865

Abstract

We consider the relationship between several single-symbol detectors for double differential modulation. We have shown in a previous paper that a simple heuristic detector is identical to the generalized likelihood ratio test (GLRT) detector. In this correspondence, we introduce a maximum a posteriori probability (MAP) detector and show that it is identical to the heuristic and GLRT detectors. Consequently, neither GLRT nor MAP can offer any gain over the simple heuristic detector, which means that the latter should be the detector of choice.

Keywords

maximum likelihood detection; phase shift keying; GLRT; MAP; MPSK; double differential modulation; generalized likelihood ratio test; maximum a posteriori probability detector; multiple phase shift keying; single-symbol detectors; Detectors; Frequency; Gaussian noise; Maximum likelihood detection; Motion detection; Phase detection; Phase modulation; Phase shift keying; Testing; Transmitters; Generalized likelihood ratio test (GLRT); maximum a posteriori probability (MAP) detector; single and double differential modulation;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2005.846424

Filename

1424326