Exact BER computation of generalized hierarchical PSK constellations

Pavan K. Vitthaladevuni*, Mohamed Slim Alouini

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

9 Scopus citations


Hierarchical constellations offer a different degree of protection to the transmitted messages according to their relative importance. As such they found interesting application in digital video broadcasting systems as well as wireless multimedia services. Although a great deal of attention has been devoted in the recent literature to the study of the blt error rate (BER) performance of uniform phase shift keyed (PSK) constellations, very few results were published on the BER performance of hierarchical PSK constellations. In this paper, we obtain exact and generic expressions in M for the BER of the generalized hierarchical M-PSK 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. Because of their generic nature, these new expressions readily allow numerical evaluation for various cases of practical interest.

Original languageEnglish (US)
Pages (from-to)1974-1978
Number of pages5
JournalIEEE International Conference on Communications
StatePublished - 2002
Externally publishedYes
Event2002 International Conference on Communications (ICC 2002) - New York, NY, United States
Duration: Apr 28 2002May 2 2002

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Electrical and Electronic Engineering


Dive into the research topics of 'Exact BER computation of generalized hierarchical PSK constellations'. Together they form a unique fingerprint.

Cite this