Exact BER computation of generalized hierarchical PSK constellations

Pavan Kumar Vitthaladevuni; Mohamed Slim Alouini

doi:10.1109/TCOMM.2003.820748

Exact BER computation of generalized hierarchical PSK constellations

Pavan Kumar Vitthaladevuni^*, Mohamed Slim Alouini

^*Corresponding author for this work

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

51 Scopus citations

Abstract

We obtain in this paper generic expression in M for the exact bit-error rate of the generalized hierarchical 2/4/⋯/M-phase-shift keyed constellations over additive white Gaussian noise (AWGN) and fading channels. For the AWGN case, these expressions are in the form of a weighted sum of Pawula F-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. The mathematical expressions are illustrated with some select numerical examples.

Original language	English (US)
Pages (from-to)	2030-2037
Number of pages	8
Journal	IEEE Transactions on Communications
Volume	51
Issue number	12
DOIs	https://doi.org/10.1109/TCOMM.2003.820748
State	Published - Dec 2003
Externally published	Yes

Keywords

Digital broadcasting
Embedded modulations
Exact bit-error rate (BER) computation
Fading channels
Gray mapping
Hierarchical constellations
Multiresolution transmission
Phase-shift keyed (PSK) constellations

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TCOMM.2003.820748

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title = "Exact BER computation of generalized hierarchical PSK constellations",

abstract = "We obtain in this paper generic expression in M for the exact bit-error rate of the generalized hierarchical 2/4/⋯/M-phase-shift keyed constellations over additive white Gaussian noise (AWGN) and fading channels. For the AWGN case, these expressions are in the form of a weighted sum of Pawula F-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. The mathematical expressions are illustrated with some select numerical examples.",

keywords = "Digital broadcasting, Embedded modulations, Exact bit-error rate (BER) computation, Fading channels, Gray mapping, Hierarchical constellations, Multiresolution transmission, Phase-shift keyed (PSK) constellations",

author = "Vitthaladevuni, {Pavan Kumar} and Alouini, {Mohamed Slim}",

year = "2003",

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doi = "10.1109/TCOMM.2003.820748",

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volume = "51",

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AU - Vitthaladevuni, Pavan Kumar

AU - Alouini, Mohamed Slim

PY - 2003/12

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N2 - We obtain in this paper generic expression in M for the exact bit-error rate of the generalized hierarchical 2/4/⋯/M-phase-shift keyed constellations over additive white Gaussian noise (AWGN) and fading channels. For the AWGN case, these expressions are in the form of a weighted sum of Pawula F-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. The mathematical expressions are illustrated with some select numerical examples.

AB - We obtain in this paper generic expression in M for the exact bit-error rate of the generalized hierarchical 2/4/⋯/M-phase-shift keyed constellations over additive white Gaussian noise (AWGN) and fading channels. For the AWGN case, these expressions are in the form of a weighted sum of Pawula F-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. The mathematical expressions are illustrated with some select numerical examples.

KW - Digital broadcasting

KW - Embedded modulations

KW - Exact bit-error rate (BER) computation

KW - Fading channels

KW - Gray mapping

KW - Hierarchical constellations

KW - Multiresolution transmission

KW - Phase-shift keyed (PSK) constellations

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M3 - Article

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SN - 0090-6778

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SP - 2030

EP - 2037

JO - IEEE Transactions on Communications

JF - IEEE Transactions on Communications

IS - 12

ER -

Exact BER computation of generalized hierarchical PSK constellations

Abstract

Keywords

ASJC Scopus subject areas

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