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

Adithya Rajan; Cihan Tepedelenlioglu

doi:10.1109/ACSSC.2012.6488978

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

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Conference Record of the 46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012
Pages	148-152
Number of pages	5
DOIs	https://doi.org/10.1109/ACSSC.2012.6488978
State	Published - 2012
Event	46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012 - Pacific Grove, CA, United States Duration: Nov 4 2012 → Nov 7 2012

Publication series

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

Other

Other	46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012
Country/Territory	United States
City	Pacific Grove, CA
Period	11/4/12 → 11/7/12

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

Access to Document

10.1109/ACSSC.2012.6488978

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). Article 6488978 (Conference Record - Asilomar Conference on Signals, Systems and Computers). https://doi.org/10.1109/ACSSC.2012.6488978

A representation for the symbol error rate of arbitrary constellations under AWGN. / Rajan, Adithya; Tepedelenlioglu, Cihan.
Conference Record of the 46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012. 2012. p. 148-152 6488978 (Conference Record - Asilomar Conference on Signals, Systems and Computers).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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., 6488978, Conference Record - Asilomar Conference on Signals, Systems and Computers, pp. 148-152, 46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012, Pacific Grove, CA, United States, 11/4/12. https://doi.org/10.1109/ACSSC.2012.6488978

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

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Keywords

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