Exact calculation of the union bound for the performance of turbo codes over fading channels

Saud A. Al-Semari; Mohammad Abulbashar

doi:10.1109/WCNC.1999.797867

Exact calculation of the union bound for the performance of turbo codes over fading channels

Saud A. Al-Semari^*, Mohammad Abulbashar

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

4 Scopus citations

Abstract

The transfer function technique has been used to give an upper bound on the bit error probability of turbo codes in the high signal-to-noise ratio (SNR) regions. Existing bounds use numerical integration to get the exact value of the pairwise error probability over the ideal flat Rayleigh channel. A new expression for the pairwise error probability over the ideal flat Rayleigh channel is derived in this paper. Using this expression, numerical integration can be avoided and this substantially reduces the computation time. This was obtained without compromising on the accuracy of the results. Examples for the (1,5/7,5/7) and (1,7/5,7/5) codes are given.

Original language	English
Title of host publication	1999 IEEE Wireless Communications and Networking Conference, WCNC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	457-460
Number of pages	4
ISBN (Electronic)	0780356683
DOIs	https://doi.org/10.1109/WCNC.1999.797867
State	Published - 1999

Publication series

Name	IEEE Wireless Communications and Networking Conference, WCNC
Volume	1
ISSN (Print)	1525-3511

Bibliographical note

Publisher Copyright:
© 1999 IEEE.

ASJC Scopus subject areas

General Engineering

Access to Document

10.1109/WCNC.1999.797867

Cite this

Al-Semari, S. A., & Abulbashar, M. (1999). Exact calculation of the union bound for the performance of turbo codes over fading channels. In 1999 IEEE Wireless Communications and Networking Conference, WCNC (pp. 457-460). Article 797867 (IEEE Wireless Communications and Networking Conference, WCNC; Vol. 1). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/WCNC.1999.797867

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title = "Exact calculation of the union bound for the performance of turbo codes over fading channels",

abstract = "The transfer function technique has been used to give an upper bound on the bit error probability of turbo codes in the high signal-to-noise ratio (SNR) regions. Existing bounds use numerical integration to get the exact value of the pairwise error probability over the ideal flat Rayleigh channel. A new expression for the pairwise error probability over the ideal flat Rayleigh channel is derived in this paper. Using this expression, numerical integration can be avoided and this substantially reduces the computation time. This was obtained without compromising on the accuracy of the results. Examples for the (1,5/7,5/7) and (1,7/5,7/5) codes are given.",

author = "Al-Semari, \{Saud A.\} and Mohammad Abulbashar",

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doi = "10.1109/WCNC.1999.797867",

language = "English",

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Al-Semari, SA & Abulbashar, M 1999, Exact calculation of the union bound for the performance of turbo codes over fading channels. in 1999 IEEE Wireless Communications and Networking Conference, WCNC., 797867, IEEE Wireless Communications and Networking Conference, WCNC, vol. 1, Institute of Electrical and Electronics Engineers Inc., pp. 457-460. https://doi.org/10.1109/WCNC.1999.797867

Exact calculation of the union bound for the performance of turbo codes over fading channels. / Al-Semari, Saud A.; Abulbashar, Mohammad.
1999 IEEE Wireless Communications and Networking Conference, WCNC. Institute of Electrical and Electronics Engineers Inc., 1999. p. 457-460 797867 (IEEE Wireless Communications and Networking Conference, WCNC; Vol. 1).

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

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AU - Abulbashar, Mohammad

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N2 - The transfer function technique has been used to give an upper bound on the bit error probability of turbo codes in the high signal-to-noise ratio (SNR) regions. Existing bounds use numerical integration to get the exact value of the pairwise error probability over the ideal flat Rayleigh channel. A new expression for the pairwise error probability over the ideal flat Rayleigh channel is derived in this paper. Using this expression, numerical integration can be avoided and this substantially reduces the computation time. This was obtained without compromising on the accuracy of the results. Examples for the (1,5/7,5/7) and (1,7/5,7/5) codes are given.

AB - The transfer function technique has been used to give an upper bound on the bit error probability of turbo codes in the high signal-to-noise ratio (SNR) regions. Existing bounds use numerical integration to get the exact value of the pairwise error probability over the ideal flat Rayleigh channel. A new expression for the pairwise error probability over the ideal flat Rayleigh channel is derived in this paper. Using this expression, numerical integration can be avoided and this substantially reduces the computation time. This was obtained without compromising on the accuracy of the results. Examples for the (1,5/7,5/7) and (1,7/5,7/5) codes are given.

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Exact calculation of the union bound for the performance of turbo codes over fading channels

Abstract

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Bibliographical note

ASJC Scopus subject areas

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Cite this