A representation for the symbol error rate of arbitrary constellations under AWGN

Adithya Rajan, Cihan Tepedelenlioglu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The symbol error rate of the maximum likelihood detector for an arbitrary multi-dimensional constellation impaired by additive white Gaussian noise is characterized as the product of a completely monotone function with a non-negative power of the signal to noise ratio. Using this general result, it is proved that the symbol error rate is completely monotone if the rank of its constellation matrix is either one or two. Further, it is shown that, if the rank of the constellation matrix is greater than or equal to four, then the symbol error rate cannot be a completely monotone function of the SNR. Applications to stochastic ordering of wireless system performance is also discussed.

Original languageEnglish (US)
Title of host publicationConference Record of the 46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012
Pages148-152
Number of pages5
DOIs
StatePublished - Dec 1 2012
Event46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012 - Pacific Grove, CA, United States
Duration: Nov 4 2012Nov 7 2012

Publication series

NameConference Record - Asilomar Conference on Signals, Systems and Computers
ISSN (Print)1058-6393

Other

Other46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012
CountryUnited States
CityPacific Grove, CA
Period11/4/1211/7/12

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Keywords

  • Communication Systems
  • Modulation and Detection
  • Symbol error rate
  • canonical representation
  • complete monotonicity
  • convex
  • stochastic ordering

ASJC Scopus subject areas

  • Signal Processing
  • Computer Networks and Communications

Cite this

Rajan, A., & Tepedelenlioglu, C. (2012). A representation for the symbol error rate of arbitrary constellations under AWGN. In Conference Record of the 46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012 (pp. 148-152). [6488978] (Conference Record - Asilomar Conference on Signals, Systems and Computers). https://doi.org/10.1109/ACSSC.2012.6488978