Distribution of L-values in gray-mapped M²-QAM signals : exact expressions and simple approximations

A. Alvarado; L.L. Szczecinski; R. Feick; L. Ahumada

doi:10.1109/GLOCOM.2007.339

Distribution of L-values in gray-mapped M²-QAM signals : exact expressions and simple approximations

A. Alvarado, L.L. Szczecinski, R. Feick, L. Ahumada

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

5 Citations (Scopus)

Abstract

In this paper we develop formulas for the probability density function (PDF) of the reliability metrics in bit- interleaved coded modulation (BICM) for arbitrary M2-ary quadrature amplitude modulation (M2-QAM) with Gray mapping. The advantage of this approach over an entirely general one proposed previously, is that the resulting formulas are obtained without resorting to any algorithmic steps. We also propose Gaussian mixture approximations that are analytically tractable, and we analyze their accuracy when evaluating uncoded bit error rate (BER) and BICM capacity.

Original language	English
Title of host publication	2007 IEEE Global Communications Conference (GLOBECOM)
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	1759-1764
ISBN (Print)	978-1-4244-1042-2
DOIs	https://doi.org/10.1109/GLOCOM.2007.339
Publication status	Published - Nov 2007
Event	2007 IEEE Global Telecommunications Conference (GLOBECOM 2007) - Washington, United States Duration: 26 Nov 2007 → 30 Nov 2007 http://globecom2007.ieee-globecom.org/

Conference

Conference	2007 IEEE Global Telecommunications Conference (GLOBECOM 2007)
Abbreviated title	GLOBECOM 2007
Country/Territory	United States
City	Washington
Period	26/11/07 → 30/11/07
Other	IEEE GLOBECOM 2007, the 50th Anniversary of GLOBECOM
Internet address	http://globecom2007.ieee-globecom.org/

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10.1109/GLOCOM.2007.339

Cite this

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title = "Distribution of L-values in gray-mapped M²-QAM signals : exact expressions and simple approximations",

abstract = "In this paper we develop formulas for the probability density function (PDF) of the reliability metrics in bit- interleaved coded modulation (BICM) for arbitrary M2-ary quadrature amplitude modulation (M2-QAM) with Gray mapping. The advantage of this approach over an entirely general one proposed previously, is that the resulting formulas are obtained without resorting to any algorithmic steps. We also propose Gaussian mixture approximations that are analytically tractable, and we analyze their accuracy when evaluating uncoded bit error rate (BER) and BICM capacity.",

author = "A. Alvarado and L.L. Szczecinski and R. Feick and L. Ahumada",

year = "2007",

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booktitle = "2007 IEEE Global Communications Conference (GLOBECOM)",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

note = "2007 IEEE Global Telecommunications Conference (GLOBECOM 2007), GLOBECOM 2007 ; Conference date: 26-11-2007 Through 30-11-2007",

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Alvarado, A, Szczecinski, LL, Feick, R & Ahumada, L 2007, Distribution of L-values in gray-mapped M²-QAM signals : exact expressions and simple approximations. in 2007 IEEE Global Communications Conference (GLOBECOM). Institute of Electrical and Electronics Engineers, Piscataway, pp. 1759-1764, 2007 IEEE Global Telecommunications Conference (GLOBECOM 2007), Washington, District of Columbia, United States, 26/11/07. https://doi.org/10.1109/GLOCOM.2007.339

Distribution of L-values in gray-mapped M²-QAM signals : exact expressions and simple approximations. / Alvarado, A.; Szczecinski, L.L.; Feick, R. et al.
2007 IEEE Global Communications Conference (GLOBECOM). Piscataway: Institute of Electrical and Electronics Engineers, 2007. p. 1759-1764.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Distribution of L-values in gray-mapped M²-QAM signals : exact expressions and simple approximations

AU - Alvarado, A.

AU - Szczecinski, L.L.

AU - Feick, R.

AU - Ahumada, L.

PY - 2007/11

Y1 - 2007/11

N2 - In this paper we develop formulas for the probability density function (PDF) of the reliability metrics in bit- interleaved coded modulation (BICM) for arbitrary M2-ary quadrature amplitude modulation (M2-QAM) with Gray mapping. The advantage of this approach over an entirely general one proposed previously, is that the resulting formulas are obtained without resorting to any algorithmic steps. We also propose Gaussian mixture approximations that are analytically tractable, and we analyze their accuracy when evaluating uncoded bit error rate (BER) and BICM capacity.

AB - In this paper we develop formulas for the probability density function (PDF) of the reliability metrics in bit- interleaved coded modulation (BICM) for arbitrary M2-ary quadrature amplitude modulation (M2-QAM) with Gray mapping. The advantage of this approach over an entirely general one proposed previously, is that the resulting formulas are obtained without resorting to any algorithmic steps. We also propose Gaussian mixture approximations that are analytically tractable, and we analyze their accuracy when evaluating uncoded bit error rate (BER) and BICM capacity.

U2 - 10.1109/GLOCOM.2007.339

DO - 10.1109/GLOCOM.2007.339

M3 - Conference contribution

SN - 978-1-4244-1042-2

SP - 1759

EP - 1764

BT - 2007 IEEE Global Communications Conference (GLOBECOM)

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

T2 - 2007 IEEE Global Telecommunications Conference (GLOBECOM 2007)

Y2 - 26 November 2007 through 30 November 2007

ER -

Distribution of L-values in gray-mapped M²-QAM signals : exact expressions and simple approximations

Abstract

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