A closed-form expression for the exact BER of generalized PAM and QAM constellations

Pavan Kumar Vitthaladevuni; M. S. Alouini

doi:10.1109/TCOMM.2004.826252

A closed-form expression for the exact BER of generalized PAM and QAM constellations

Pavan Kumar Vitthaladevuni^*, M. S. Alouini

^*Corresponding author for this work

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

65 Scopus citations

Abstract

We derive an explicit closed-form expression for the exact bit-error rate (BER) computation of generalized hierarchical M-ary pulse amplitude modulations over additive white Gaussian noise (AWGN) and fading channels. This expression can also be used to obtain the exact BER of generalized hierarchical quadrature amplitude modulations (square and rectangular). For the AWGN case, these expressions are in the form of a weighted sum of complementary error 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.

Original language	English (US)
Pages (from-to)	698-700
Number of pages	3
Journal	IEEE Transactions on Communications
Volume	52
Issue number	5
DOIs	https://doi.org/10.1109/TCOMM.2004.826252
State	Published - May 2004
Externally published	Yes

Keywords

Bit-error rate (BER) computation
Digital broadcasting
Embedded modulation
Gray mapping
Hierarchical modulations
Pulse amplitude modulation (PAM) constellations

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TCOMM.2004.826252

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title = "A closed-form expression for the exact BER of generalized PAM and QAM constellations",

abstract = "We derive an explicit closed-form expression for the exact bit-error rate (BER) computation of generalized hierarchical M-ary pulse amplitude modulations over additive white Gaussian noise (AWGN) and fading channels. This expression can also be used to obtain the exact BER of generalized hierarchical quadrature amplitude modulations (square and rectangular). For the AWGN case, these expressions are in the form of a weighted sum of complementary error 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.",

keywords = "Bit-error rate (BER) computation, Digital broadcasting, Embedded modulation, Gray mapping, Hierarchical modulations, Pulse amplitude modulation (PAM) constellations",

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year = "2004",

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AU - Vitthaladevuni, Pavan Kumar

AU - Alouini, M. S.

PY - 2004/5

Y1 - 2004/5

N2 - We derive an explicit closed-form expression for the exact bit-error rate (BER) computation of generalized hierarchical M-ary pulse amplitude modulations over additive white Gaussian noise (AWGN) and fading channels. This expression can also be used to obtain the exact BER of generalized hierarchical quadrature amplitude modulations (square and rectangular). For the AWGN case, these expressions are in the form of a weighted sum of complementary error 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.

AB - We derive an explicit closed-form expression for the exact bit-error rate (BER) computation of generalized hierarchical M-ary pulse amplitude modulations over additive white Gaussian noise (AWGN) and fading channels. This expression can also be used to obtain the exact BER of generalized hierarchical quadrature amplitude modulations (square and rectangular). For the AWGN case, these expressions are in the form of a weighted sum of complementary error 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.

KW - Bit-error rate (BER) computation

KW - Digital broadcasting

KW - Embedded modulation

KW - Gray mapping

KW - Hierarchical modulations

KW - Pulse amplitude modulation (PAM) constellations

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SN - 0090-6778

VL - 52

SP - 698

EP - 700

JO - IEEE Transactions on Communications

JF - IEEE Transactions on Communications

IS - 5

ER -

A closed-form expression for the exact BER of generalized PAM and QAM constellations

Abstract

Keywords

ASJC Scopus subject areas

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