Generation of two equal power correlated Rayleigh fading envelopes

Ertel, R.B.; Reed, Jeffrey H.

doi:10.1109/4234.725222

Cited by 103 publications

(47 citation statements)

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“…Thus, when C χ is positive definite, as in the Gaussian approximation employed in (Zhu & Kahn, 2002), a Cholesky decomposition is performable using the interval Cholesky method proposed in (Alefeld & Mayer, 1993) in order to include the desired correlation among scintillation sequences. Hence we find a lower triangular matrix L such that C χ = LL H in a similar way as in (Beaulieu & Merani, 2000;Ertel & Reed, 1998).…”

Section: Spatial Diversity Receptionmentioning

confidence: 99%

“…But first we need to compute the factorization C w = LL T .I fC w is positive definite, a Cholesky decomposition is performable using the interval Cholesky method proposed in (Alefeld & Mayer, 1993) in order to include the desired correlation among scintillation sequences, with L being a lower triangular matrix (Beaulieu & Merani, 2000;Ertel & Reed, 1998). So, the driving process is then generated by the product ω[n]=Lz[n],w h e r ez[n] is an m × 1 vector of independent zero mean Gaussian variates with unit variance and a autocorrelation function expressed as:…”

Section: Spatial Diversity Receptionmentioning

confidence: 99%

“…Obtained results showed a diversity gain penalty due to the impact of the spatial coherence which should not be ignored in many practical scenarios. Hence, the method proposed in ) extended the applicability of the existing techniques (Beaulieu, 1999;Ertel & Reed, 1998), including the effect of the atmospheric dynamics in order to break the uniformity of the frozen-in hypothesis (Zhu & Kahn, 2002). This latter effect was incorporated by defining a factor, ρ l , as follows:…”

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confidence: 99%

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Upper Burst Error Bound for Atmospheric Correlated Optical Communications Using an Alternative Matrix Decomposition

Jurado-Navas¹,

Garrido-Balsells²,

Castillo-Vázquez³

et al. 2011

Computational Simulations and Applications

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Section: Spatial Diversity Receptionmentioning

confidence: 99%

Section: Spatial Diversity Receptionmentioning

confidence: 99%

mentioning

confidence: 99%

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Upper Burst Error Bound for Atmospheric Correlated Optical Communications Using an Alternative Matrix Decomposition

Jurado-Navas¹,

Garrido-Balsells²,

Castillo-Vázquez³

et al. 2011

Computational Simulations and Applications

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“…We have shown the validity of our statistical results for two correlated fading channels in [7], through simulations generated using the method described in [6]. The preliminary work of Tang and Kassam [7] also gives a finite-state Markov model representing correlated fading channels and demonstrates its use in analysing the performance of ARQ schemes.…”

Section: Introductionmentioning

confidence: 99%

“…The long-term average BER performance is then not adequate for performance analysis. Procedures for generating correlated fading envelopes are discussed in [6] and can be used to perform bit-level performance simulations. However, bit-level simulations of the performance can be very time-consuming and do not lead to a fundamental understanding of dependence of performance on the fading dynamics.…”

Section: Introductionmentioning

confidence: 99%

Statistical characteristics of the envelope in diversity combining of two correlated Rayleigh fading channels

Tang

Kassam

2007

IET Commun.

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Performance of diversity systems is often evaluated under the assumption of perfect interleaving and characterised in terms of long-term parameters such as the average bit-error rate, which does not capture the dynamics of fading channels. Statistical characteristics (static and dynamic) of the envelope of two correlated Rayleigh fading channels are explored using a physical model. For two popular diversity-combining schemes, maximal ratio combining and selection combining, both static and dynamic (level-crossing rate) properties of correlated fading channels are derived. These results are very useful for performance evaluation of diversity systems without bit-level simulations. The results can also provide very useful characteristics such as average duration of fades, fading rate and outage probability for two-channel diversity systems and can be extended to multiple fading channels. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Pennsylvania's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.This journal article is available at ScholarlyCommons: http://repository.upenn.edu/ese_papers/307Statistical characteristics of the envelope in diversity combining of two correlated Rayleigh fading channels W. Tang and S.A. KassamAbstract: Performance of diversity systems is often evaluated under the assumption of perfect interleaving and characterised in terms of long-term parameters such as the average bit-error rate, which does not capture the dynamics of fading channels. Statistical characteristics (static and dynamic) of the envelope of two correlated Rayleigh fading channels are explored using a physical model. For two popular diversity-combining schemes, maximal ratio combining and selection combining, both static and dynamic (level-crossing rate) properties of correlated fading channels are derived. These results are very useful for performance evaluation of diversity systems without bit-level simulations. The results can also provide very useful characteristics such as average duration of fades, fading rate and outage probability for two-channel diversity systems and can be extended to multiple fading channels.

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Statistical analysis of co-channel interference in wireless communications systems

Cardieri

Rappaport

2001

Wirel. Commun. Mob. Comput.

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Generation of two equal power correlated Rayleigh fading envelopes

Cited by 103 publications

References 0 publications

Upper Burst Error Bound for Atmospheric Correlated Optical Communications Using an Alternative Matrix Decomposition

Upper Burst Error Bound for Atmospheric Correlated Optical Communications Using an Alternative Matrix Decomposition

Statistical characteristics of the envelope in diversity combining of two correlated Rayleigh fading channels

Statistical analysis of co-channel interference in wireless communications systems

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