Infinite series representation of the exact PEP for space-time coding

Z. Zhang; S. W. Cheung; T. I. Yuk

doi:10.1109/GLOCOM.2006.704

Infinite series representation of the exact PEP for space-time coding

Z. Zhang^*
, S. W. Cheung
, T. I. Yuk

^*Corresponding author for this work

The University of Hong Kong

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

4 Scopus citations

Abstract

The exact Pair-wise Error Probabilities (PEP) formulas developed for Space-Time (S-T) coding so far either are not in the closed forms or have the closed forms but need to calculate very complicated high order derivatives, and so are not easy to use. This paper derives, for S-T coding in block Rayleigh fading, a new exact PEP formula which is expressed as the summation of a series of terms to the powers of 1/Signal-to-Noise-Ratio (1/SNR). The result gives researchers an easier and more convenient way for bit-error-rate (BER) evaluation and optimization of S-T coded Multiple-Input-Multiple-Output (MIMO) systems. Monte Carlo simulation results of the BER performance of a 2-by-2 S-T coded system are used to verify our results.

Original language	English
Title of host publication	IEEE GLOBECOM 2006 - 2006 Global Telecommunications Conference
DOIs	https://doi.org/10.1109/GLOCOM.2006.704
State	Published - 2006
Externally published	Yes
Event	IEEE GLOBECOM 2006 - 2006 Global Telecommunications Conference - San Francisco, CA, United States Duration: 27 Nov 2006 → 1 Dec 2006

Publication series

Name	GLOBECOM - IEEE Global Telecommunications Conference

Conference

Conference	IEEE GLOBECOM 2006 - 2006 Global Telecommunications Conference
Country/Territory	United States
City	San Francisco, CA
Period	27/11/06 → 1/12/06

Keywords

Exact PEP
Infinite series
Space-time coding

Access to Document

10.1109/GLOCOM.2006.704

Cite this

@inproceedings{68394048b8ba43348dcb03f34865234b,

title = "Infinite series representation of the exact PEP for space-time coding",

abstract = "The exact Pair-wise Error Probabilities (PEP) formulas developed for Space-Time (S-T) coding so far either are not in the closed forms or have the closed forms but need to calculate very complicated high order derivatives, and so are not easy to use. This paper derives, for S-T coding in block Rayleigh fading, a new exact PEP formula which is expressed as the summation of a series of terms to the powers of 1/Signal-to-Noise-Ratio (1/SNR). The result gives researchers an easier and more convenient way for bit-error-rate (BER) evaluation and optimization of S-T coded Multiple-Input-Multiple-Output (MIMO) systems. Monte Carlo simulation results of the BER performance of a 2-by-2 S-T coded system are used to verify our results.",

keywords = "Exact PEP, Infinite series, Space-time coding",

author = "Z. Zhang and Cheung, \{S. W.\} and Yuk, \{T. I.\}",

year = "2006",

doi = "10.1109/GLOCOM.2006.704",

language = "英语",

isbn = "142440357X",

series = "GLOBECOM - IEEE Global Telecommunications Conference",

booktitle = "IEEE GLOBECOM 2006 - 2006 Global Telecommunications Conference",

note = "IEEE GLOBECOM 2006 - 2006 Global Telecommunications Conference ; Conference date: 27-11-2006 Through 01-12-2006",

}

Zhang, Z, Cheung, SW & Yuk, TI 2006, Infinite series representation of the exact PEP for space-time coding. in IEEE GLOBECOM 2006 - 2006 Global Telecommunications Conference., 4151334, GLOBECOM - IEEE Global Telecommunications Conference, IEEE GLOBECOM 2006 - 2006 Global Telecommunications Conference, San Francisco, CA, United States, 27/11/06. https://doi.org/10.1109/GLOCOM.2006.704

TY - GEN

T1 - Infinite series representation of the exact PEP for space-time coding

AU - Zhang, Z.

AU - Cheung, S. W.

AU - Yuk, T. I.

PY - 2006

Y1 - 2006

N2 - The exact Pair-wise Error Probabilities (PEP) formulas developed for Space-Time (S-T) coding so far either are not in the closed forms or have the closed forms but need to calculate very complicated high order derivatives, and so are not easy to use. This paper derives, for S-T coding in block Rayleigh fading, a new exact PEP formula which is expressed as the summation of a series of terms to the powers of 1/Signal-to-Noise-Ratio (1/SNR). The result gives researchers an easier and more convenient way for bit-error-rate (BER) evaluation and optimization of S-T coded Multiple-Input-Multiple-Output (MIMO) systems. Monte Carlo simulation results of the BER performance of a 2-by-2 S-T coded system are used to verify our results.

AB - The exact Pair-wise Error Probabilities (PEP) formulas developed for Space-Time (S-T) coding so far either are not in the closed forms or have the closed forms but need to calculate very complicated high order derivatives, and so are not easy to use. This paper derives, for S-T coding in block Rayleigh fading, a new exact PEP formula which is expressed as the summation of a series of terms to the powers of 1/Signal-to-Noise-Ratio (1/SNR). The result gives researchers an easier and more convenient way for bit-error-rate (BER) evaluation and optimization of S-T coded Multiple-Input-Multiple-Output (MIMO) systems. Monte Carlo simulation results of the BER performance of a 2-by-2 S-T coded system are used to verify our results.

KW - Exact PEP

KW - Infinite series

KW - Space-time coding

UR - https://www.scopus.com/pages/publications/50949129171

U2 - 10.1109/GLOCOM.2006.704

DO - 10.1109/GLOCOM.2006.704

M3 - 会议稿件

AN - SCOPUS:50949129171

SN - 142440357X

SN - 9781424403578

T3 - GLOBECOM - IEEE Global Telecommunications Conference

BT - IEEE GLOBECOM 2006 - 2006 Global Telecommunications Conference

T2 - IEEE GLOBECOM 2006 - 2006 Global Telecommunications Conference

Y2 - 27 November 2006 through 1 December 2006

ER -

Infinite series representation of the exact PEP for space-time coding

Abstract

Publication series

Conference

Keywords

Access to Document

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