A gram-charlier series method for calculating general signal constellation error probabilities

David D. Murphy; Colin C. Murphy

doi:10.1109/TCOMM.2011.101011.110193

A gram-charlier series method for calculating general signal constellation error probabilities

David D. Murphy
, Colin C. Murphy

School of Engineering and Architecture

University College Cork

Research output: Contribution to journal › Article › peer-review

Abstract

We develop a method for calculating the probability of symbol error, via a multivariate Gram-Charlier series, for arbitrary coherent modulation schemes with statistically independent source symbols and subject to intersymbol interference (ISI) and additive white Gaussian noise (AWGN). The resulting error probability approximations have closed-form solutions and yield very accurate results with very little computational expense.

Original language	English
Article number	6047545
Pages (from-to)	300-305
Number of pages	6
Journal	IEEE Transactions on Communications
Volume	60
Issue number	2
DOIs	https://doi.org/10.1109/TCOMM.2011.101011.110193
Publication status	Published - Feb 2012

Keywords

Digital communication
Error analysis
Gaussian noise
Intersymbol interference
Quadrature amplitude modulation

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10.1109/TCOMM.2011.101011.110193

Cite this

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abstract = "We develop a method for calculating the probability of symbol error, via a multivariate Gram-Charlier series, for arbitrary coherent modulation schemes with statistically independent source symbols and subject to intersymbol interference (ISI) and additive white Gaussian noise (AWGN). The resulting error probability approximations have closed-form solutions and yield very accurate results with very little computational expense.",

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AB - We develop a method for calculating the probability of symbol error, via a multivariate Gram-Charlier series, for arbitrary coherent modulation schemes with statistically independent source symbols and subject to intersymbol interference (ISI) and additive white Gaussian noise (AWGN). The resulting error probability approximations have closed-form solutions and yield very accurate results with very little computational expense.

KW - Digital communication

KW - Error analysis

KW - Gaussian noise

KW - Intersymbol interference

KW - Quadrature amplitude modulation

UR - https://www.scopus.com/pages/publications/84857368406

U2 - 10.1109/TCOMM.2011.101011.110193

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M3 - Article

AN - SCOPUS:84857368406

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JO - IEEE Transactions on Communications

JF - IEEE Transactions on Communications

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M1 - 6047545

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A gram-charlier series method for calculating general signal constellation error probabilities

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Keywords

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