A Common Function of Different Union Bounds for Optimization and BER Evaluation of Space–Time codes

Zhang, Z.; Dai, Xiaohui; Cheung, Siu Wun; Yuk, T. I.

doi:10.1007/s11277-008-9449-6

Cited by 2 publications

(3 citation statements)

References 9 publications

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“…2. The optimum angle pair (0.537, 0.211) used was obtained through the way developed in [19,20]. Here, again it can be seen that, at all SNRs tested, the BER using the Union bound based on the exact PEP nearly merges with that of the simulation, as expected.…”

Section: Results On D-codesupporting

confidence: 67%

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An Exact Close-form PEP and a new PEP for Space-Time Codes in Rayleigh Fading Channels

Zhi

Cheung

Yuk

2009

Int J Wireless Inf Networks

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A close-form expression for the exact Pair-wise Error Probability (PEP) of Space-Time (S-T) codes in Rayleigh fading channel is derived using the general and close-form solution for the probability-density function (PDF) of a sum of independent exponential distributed random variables. The expression requires evaluating the coefficients for partial fraction expansion, so an easy analytical way is proposed for doing this. The exact PEP is subsequently used to develop a simple PEP using the upper bound. Both PEPs are used in the Union bound for error rate evaluation. Numerical calculations and Monte Carlo computer simulation are used to study the accuracies of these Union bounds for error rate evaluation of a rotationbased diagonal S-T code (D code) in Rayleigh fading channels. Four other PEPs based on different bounds, i.e., the Chernoff bound, the asymptotic bound, the tight asymptotic bound, and the Eigen-Geometric-Mean (EGM) bound, are also studied for comparison. Results show that our derived close-form PEP is an exact PEP and our proposed PEP is a very tight bound to the exact PEP.

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Section: Results On D-codesupporting

confidence: 67%

“…Note that: 1 4 À Á N 2N N is less than 1 and decreases with the increase of N. So if SNR is not too low (say, kSNR [ 4 3 ), (40) is tighter than the Chernoff bound of (20).…”

Section: Appendixmentioning

confidence: 99%

An Exact Close-form PEP and a new PEP for Space-Time Codes in Rayleigh Fading Channels

Zhi

Cheung

Yuk

2009

Int J Wireless Inf Networks

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“…The LDC used had the parameters M = N = 4, L = 2 with eight QPSK symbols in a codeword and was first optimized using the techniques in [8]. Monte Carlo simulation was used to obtain the BER performance of the LDC with ML detection.…”

Section: Numerical Examples Of Linear Dispersion Codementioning

confidence: 99%

A new union bound based on Hölder inequality for space-time codes

Zhang

Dai

Cheung

et al. 2009

Proceedings of the 2009 International Conference on Wireless Communications and Mobile Computing: Connecting the World Wireless

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An exact Pair-wise Error Probability (PEP) and the corresponding exact union bound expressions have been derived for evaluating the bit-error rate (BER) performance of Space-Time (S-T) codes, but it is shown in this paper that the computation precision of the computer program used to evaluate these expressions may produce negative results. Here a new PEP based on the HÖlder inequality and the corresponding new union bound (NUB) are derived and proposed for evaluation of the BER of S-T codes in the flat Rayleigh fading channels. Analytical and numerical results show that the NUB does not have the problem of producing negative result, is tighter than other practical union bounds reported, has nearly identical accuracy as the exact union bound, and requires much less computational time for BER evaluation

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A Common Function of Different Union Bounds for Optimization and BER Evaluation of Space–Time codes

Cited by 2 publications

References 9 publications

An Exact Close-form PEP and a new PEP for Space-Time Codes in Rayleigh Fading Channels

An Exact Close-form PEP and a new PEP for Space-Time Codes in Rayleigh Fading Channels

A new union bound based on Hölder inequality for space-time codes

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