Exact BER computation of generalized hierarchical PSK constellations

Author

Vitthaladevuni, Pavan Kumar ; Alouini, Mohamed-Slim

Author_Institution

Dept. of Electr. & Comput. Eng., Minnesota Univ., USA

Volume

51

Issue

12

fYear

2003

Firstpage

2030

Lastpage

2037

Abstract

We obtain in this paper generic expressions in M for the exact bit-error rate of the generalized hierarchical 2/4/···/M-phase-shift keyed constellations over additive white Gaussian noise (AWGN) and fading channels. For the AWGN case, these expressions are in the form of a weighted sum of Pawula F-functions and are solely dependent on the constellation size M, the carrier-to-noise ratio, and a constellation parameter which controls the relative message importance. The mathematical expressions are illustrated with some select numerical examples.

Keywords

AWGN channels; digital video broadcasting; error statistics; fading channels; phase shift keying; AWGN channels; Pawula F-functions; additive white Gaussian noise; bit-error rate; carrier-to-noise ratio; constellation size; digital video broadcasting; exact BER computation; fading channels; generalized hierarchical PSK constellations; phase-shift keying; relative message importance; weighted sum; AWGN; Binary phase shift keying; Bit error rate; Error correction codes; Fading; Gaussian noise; Genetic expression; Intelligent transportation systems; Phase shift keying; Quadrature phase shift keying;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/TCOMM.2003.820748

Filename

1256742