New Bounds of Pairwise Error Probability for Space-Time Codes in Rayleigh Fading Channels

Byun, Myung-Kwang; Lee, Byeong Gi

doi:10.1109/tcomm.2007.902532

Cited by 24 publications

(33 citation statements)

References 18 publications

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“…The PEP based on the Chernoff bound is upper bounded by the PEP based on the Asymptoic bound [1] and the PEP based on the EGM bound is upper bounded by the PEP based on the tight Asymptoic bound [8]. However, our proposed PEP is tighter than both PEPs based on the Chernoff and EGM bounds as explained as follows.…”

Section: Comments On Proposed Pep and Other Four Peps Studiedmentioning

confidence: 87%

“…Consider a simple case with R = M and W r = 1. To compute A r,s using (8), most of the operations are computing the products inside the square bracket and this product computation is done for non-negative integers, (8), it can be seen that each of these products is composed of R-1 different factors, so the complexity of using (8) to compute A r,s is proportional to the number of (R-1)-factor products required to be evaluated. While if (6) is used to compute A r,s , a high-orderderivative operation is required to be performed on a product composing of R-1 different factors, each having Mth order.…”

Section: Computation Advantages Of Using (8)mentioning

confidence: 99%

“…For M = R=3-7 and s = 1, the numbers of (R-1)-factor products required to evaluate A r,s using (6) and (8) are showed in Table 1. The advantage of using the proposed method over the high-order-derivatives method is obvious as M becomes large.…”

Section: Computation Advantages Of Using (8)mentioning

confidence: 99%

“…In [8], the PEP based on EGM bound is derived using the Arithmetic-Geometric Inequality, implying that the PEP is tight only when all the eigenvalues are equal. In general, this requirement cannot be satisfied.…”

Section: Proposed Pep and Pep Based On Egm Boundmentioning

confidence: 99%

“…Four other PEPs, i.e., the PEPs based on the Chernoff bound [1], the Asymptotic bound [1], the tight Asymptotic bound [7] and the Eigen-Geometric-Mean (EGM) bound [8], are also studied for comparison. Results show that the exact close-form PEP derived in this paper is the truly exact PEP and our proposed PEP is much tighter than the other four PEPs studied.…”

Section: Introductionmentioning

confidence: 99%

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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: Comments On Proposed Pep and Other Four Peps Studiedmentioning

confidence: 87%

Section: Computation Advantages Of Using (8)mentioning

confidence: 99%

Section: Computation Advantages Of Using (8)mentioning

confidence: 99%

Section: Proposed Pep and Pep Based On Egm Boundmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Zhang

Dai

Cheung

et al. 2008

Wireless Pers Commun

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Optimizing Space-Time (S-T) codes, in terms of minimum error rates, based on Union bounds often produces results which vary with signal-to-noise ratio (SNR) and so are not easy to use. Error-rate evaluation of S-T codes using Union bounds sometimes requires very heavy computational loads and so is impractical. In this paper, a Common function shared by different Union bounds is derived and proposed for optimization of S-T codes. The Common function produces the optimization results which are SNR independent and so requires a substantially lower computation load. Results of Monte-Carlo simulation on two 2 × 2 rotation-based diagonal S-T codes (D codes) and two Linear-Dispersion codes (LDCs) show that the bit-error-rate (BER) performances using the optimization results based on the Common function, the exact Union bound (EUB) and Chernoff Union bound (CUB) are all nearly identical. The Common function is subsequently used to develop a modified Union bound (MUB) and modified Chernoff Union bound (MCUB). Results of numerical calculations show that the MUB can provide a good compromise between the accuracy and computational load for BER evaluation.

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Combined generalized space shift keying and amplitude/phase modulation for high-rate data transmission

Nguyen

Tran

2013

2013 International Conference on Advanced Technologies for Communications (ATC 2013)

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New Bounds of Pairwise Error Probability for Space-Time Codes in Rayleigh Fading Channels

Cited by 24 publications

References 18 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 Common Function of Different Union Bounds for Optimization and BER Evaluation of Space–Time codes

Combined generalized space shift keying and amplitude/phase modulation for high-rate data transmission

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