Exact BER computation for cross QAM constellations

Pavan Kumar Vitthaladevuni; Mohamed Slim Alouini; John C. Kieffer

doi:10.1109/TWC.2005.857997

Exact BER computation for cross QAM constellations

Pavan Kumar Vitthaladevuni^*, Mohamed Slim Alouini, John C. Kieffer

^*Corresponding author for this work

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

90 Scopus citations

Abstract

When the number of bits per symbol is odd, the peak and average power of transmission can be reduced by using cross quadrature amplitude modulations (QAMs) instead of rectangular QAMs. However, since perfect Gray coding is not possible for cross QAMs, using Smith-style Gray coding, this paper derives the exact bit error rate (BER) for cross QAM constellations over additive white Gaussian noise (AWGN) and Rayleigh fading channels.

Original language	English (US)
Pages (from-to)	3039-3050
Number of pages	12
Journal	IEEE Transactions on Wireless Communications
Volume	4
Issue number	6
DOIs	https://doi.org/10.1109/TWC.2005.857997
State	Published - Nov 2005
Externally published	Yes

Keywords

Bit error rate
Cross quadrature amplitude modulation
Gray penalty
Outage probability
Rectangular quadrature amplitude modulation
Square quadrature amplitude modulation

ASJC Scopus subject areas

Applied Mathematics
Electrical and Electronic Engineering
Computer Science Applications

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10.1109/TWC.2005.857997

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keywords = "Bit error rate, Cross quadrature amplitude modulation, Gray penalty, Outage probability, Rectangular quadrature amplitude modulation, Square quadrature amplitude modulation",

author = "Vitthaladevuni, {Pavan Kumar} and Alouini, {Mohamed Slim} and Kieffer, {John C.}",

year = "2005",

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language = "English (US)",

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AU - Kieffer, John C.

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AB - When the number of bits per symbol is odd, the peak and average power of transmission can be reduced by using cross quadrature amplitude modulations (QAMs) instead of rectangular QAMs. However, since perfect Gray coding is not possible for cross QAMs, using Smith-style Gray coding, this paper derives the exact bit error rate (BER) for cross QAM constellations over additive white Gaussian noise (AWGN) and Rayleigh fading channels.

KW - Bit error rate

KW - Cross quadrature amplitude modulation

KW - Gray penalty

KW - Outage probability

KW - Rectangular quadrature amplitude modulation

KW - Square quadrature amplitude modulation

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Exact BER computation for cross QAM constellations

Abstract

Keywords

ASJC Scopus subject areas

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