Journal ArticleDOI
On multivariate Rayleigh and exponential distributions
TLDR
Expressions for multivariate Rayleigh and exponential probability density functions (PDFs) generated from correlated Gaussian random variables can serve as a useful tool in the performance analysis of digital modulation over correlated Rayleigh-fading channels using diversity combining.Abstract:
In this paper, expressions for multivariate Rayleigh and exponential probability density functions (PDFs) generated from correlated Gaussian random variables are presented. We first obtain a general integral form of the PDFs, and then study the case when the complex Gaussian generating vector is circular. We consider two specific circular cases: the exchangeable case when the variates are evenly correlated, and the exponentially correlated case. Expressions for the multivariate PDF in these cases are obtained in integral form as well as in the form of a series of products of univariate PDFs. We also derive a general expression for the multivariate exponential characteristic function (CF) in terms of determinants. In the exchangeable and exponentially correlated cases, CF expressions are obtained in the form of a series of products of univariate gamma CFs. The CF of the sum of exponential variates in these cases is obtained in closed form. Finally, the bivariate case is presented mentioning its main features. While the integral forms of the multivariate PDFs provide a general analytical framework, the series and determinant expressions for the exponential CFs and the series expressions for the PDFs can serve as a useful tool in the performance analysis of digital modulation over correlated Rayleigh-fading channels using diversity combining.read more
Citations
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BookDOI
Orthogonal Frequency Division Multiplexing for Wireless Communications
TL;DR: Orthogonal Frequency Division Multiplexing for Wireless Communications is an edited volume with contributions by leading authorities in the subject of OFDM, providing a comprehensive introduction of the theory and practice ofOFDM.
Proceedings ArticleDOI
Interference alignment and cancellation
TL;DR: Interference alignment and cancellation (IAC) is presented, a new approach for decoding concurrent sender-receiver pairs in MIMO networks that synthesizes two signal processing techniques, interference alignment and interference cancellation, showing that the combination applies to scenarios where neither interference alignment nor cancellation applies alone.
Journal ArticleDOI
Distribution functions of selection combiner output in equally correlated Rayleigh, Rician, and Nakagami-m fading channels
Yunxia Chen,Chintha Tellambura +1 more
TL;DR: A novel approach is developed to derive the cumulative distribution functions (cdfs) of the selection-combining (SC) output signal-to-noise ratio (SNR) in equally correlated Rayleigh, Ricean, and Nakagami-m fading channels and shows that a set of equally correlated channel gains can be transformed into aSet of conditionally independent channel gains.
Journal ArticleDOI
Gaussian class multivariate Weibull distributions: theory and applications in fading channels
TL;DR: A theoretical framework for a class of multivariate Weibull distributions, originated from Gaussian random processes, is introduced and analyzed, and novel analytical expressions for the joint probability density function, moment-generating function, and cumulative distribution function are derived for this class of distributions.
Journal ArticleDOI
On the multivariate Nakagami-m distribution with exponential correlation
TL;DR: A useful closed formula for the exponentially correlated n-variate Nakagami-m probability density function is proposed and an infinite series approach for the corresponding cumulative distribution function is presented.
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