Asymptotical performance of M-ary and binary signals over multipath/multichannel Rayleigh and Rician fading

Abdel-Ghaffar, H.S.; Pasupathy, S.

doi:10.1109/26.481223

Cited by 66 publications

(31 citation statements)

References 9 publications

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“…We assume that the signal constellation has an average energy of one. In order to have an average CSNR of at each receive antenna, the modulators weight the symbols by (see (1)). The channel is assumed to be Rayleigh flat fading, so that the complex path gain from transmit antenna to receive antenna , , has a zero-mean unit-variance complex Gaussian distribution, denoted by , with i.i.d.…”

Section: Symbol Pairwise Error Probabilities Of Space-time Orthogmentioning

confidence: 99%

“…1 Using the moment generating function of Gaussian random 1 We assume here that all path gains contribute equally in Y . This assumption is valid for most orthogonal codes used in the literature, including Alamouti's G code and the G and G codes of [14].…”

Section: Symbol Pairwise Error Probabilities Of Space-time Orthogmentioning

confidence: 99%

“…For PSK signaling, tight bounds on the symbol PEP were found in [4]. Also, in [1], the symbol PEP was found in integral form for diversity reception systems, which can be easily tailored to STOB coding. The symbol PEPs can be used to derive an upper bound on the BER; however, as will be shown in the sequel, the resulting BER upper bound is very loose even at medium CSNRs.…”

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confidence: 99%

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Tight Error Bounds for Space-Time Orthogonal Block Codes Under Slow Rayleigh Flat Fading

Behnamfar

Alajaji²,

Linder³

2005

IEEE Trans. Commun.

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Abstract-The performance of space-time orthogonal block (STOB) codes over slow Rayleigh fading channels and maximum-likelihood (ML) decoding is investigated. Two Bonferroni-type bounds (one upper bound and one lower bound) for the symbol error rate (SER) and bit error rate (BER) of the system are obtained. The bounds are expressed in terms of the pairwise error probabilities (PEPs) and the two-dimensional pairwise error probabilities (2-D PEPs) of the transmitted symbols. Furthermore, the bounds can be efficiently evaluated and they hold for arbitrary (nonstandard) signaling schemes and mappings. Numerical results demonstrate that the bounds are very accurate in estimating the performance of STOB codes. In particular, the upper and lower bounds often coincide even at low channel signal-to-noise ratios, large constellation sizes, and large diversity orders.Index Terms-Bit and symbol error rates, diversity, maximumlikelihood decoding, multiple antennas, pairwise error probability, slow Rayleigh fading, space-time coding, wireless communications.

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Section: Symbol Pairwise Error Probabilities Of Space-time Orthogmentioning

confidence: 99%

Section: Symbol Pairwise Error Probabilities Of Space-time Orthogmentioning

confidence: 99%

mentioning

confidence: 99%

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Tight Error Bounds for Space-Time Orthogonal Block Codes Under Slow Rayleigh Flat Fading

Behnamfar

Alajaji²,

Linder³

2005

IEEE Trans. Commun.

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“…We prefer the term "combining gain" as channel coding is not applied here. 3 We will extend our signal model in Section 3.2.3 to binary frequency-shift keying (BFSK) modulation.…”

Section: Signal Modelmentioning

confidence: 99%

Asymptotic BEP and SEP of quadratic diversity combining receivers in correlated ricean fading, non-gaussian noise, and interference

Nezampour

Nasri

Schober

et al. 2009

IEEE Trans. Commun.

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In this paper, we study the asymptotic behavior of the bit-error probability (BEP) and the symbolerror probability (SEP) of quadratic diversity combining schemes such as coherent maximum-ratio combining (MRC), differential equal-gain combining (EGC), and noncoherent combining (NC) in correlated Ricean fading and non-Gaussian noise, which in our definition also includes interference.We provide simple and easy-to-evaluate asymptotic BEP and SEP expressions which show that at high signal-to-noise ratios (SNRs) the performance of the considered combining schemes depends on certain moments of the noise and interference impairing the transmission. We derive general rules for calculation of these moments and we provide closed-form expressions for the moments of several practically important types of noise such as spatially dependent and spatially independent Gaussian mixture noise, correlated synchronous and asynchronous co-channel interference, and correlated Gaussian interference. From our asymptotic results we observe that (a) the asymptotic performance loss of binary frequency-shift keying (BFSK) with NC compared to binary phase-shift keying (BPSK) with MRC is always 6 dB independent of the type of noise and the number of diversity branches, (b) the asymptotic performance loss of differential EGC compared to MRC is always 3 dB for additive white Gaussian noise but depends on the number of diversity branches and may be larger or smaller than 3 dB for other types of noise, and (c) not only fading correlation but also noise correlation negatively affects the performance of quadratic diversity combiners.

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“…This mathematical function plays a vital role in the analysis and design of digital communications since the conditional error probability (CEP) of a broad class of coherent modulation schemes can be expressed either in terms of Q(x) alone or as a weighted sum of its integer powers (e.g., see E Q x from its canonical integral representation of (1) (owing to the presence of the argument of the function in the lower limit of the integral) have led to the development of alternative exponential-type integral representations for the Q-function and its integer powers [1,Eqs. (4.2), (4.9), (4.31) and (4.32)], analytically simple and tight closed-form bounds and approximations for Q(x) [3]- [16], characteristic function method [21] and the asymptotic analysis approach [17]- [19]. Table 1.…”

Section: Introductionmentioning

confidence: 99%

Further Results on the Dirac Delta Approximation and the Moment Generating Function Techniques for Error Probability Analysis in Fading Channels

Annamalai¹,

Adebola²,

Olabiyi³

2013

IJCNC

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Asymptotical performance of M-ary and binary signals over multipath/multichannel Rayleigh and Rician fading

Cited by 66 publications

References 9 publications

Tight Error Bounds for Space-Time Orthogonal Block Codes Under Slow Rayleigh Flat Fading

Tight Error Bounds for Space-Time Orthogonal Block Codes Under Slow Rayleigh Flat Fading

Asymptotic BEP and SEP of quadratic diversity combining receivers in correlated ricean fading, non-gaussian noise, and interference

Further Results on the Dirac Delta Approximation and the Moment Generating Function Techniques for Error Probability Analysis in Fading Channels

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