Matrix computations (3rd ed.)
A simple method for generating gamma variables
ACM Transactions on Mathematical Software (TOMS)
Computer generation of gamma random variables—II
Communications of the ACM
Computer generation of gamma random variates with non-integral shape parameters
Communications of the ACM
Discrete convexity: convexity for functions defined on discrete spaces
Discrete Applied Mathematics
Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing)
Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing)
Simulation of Nakagami fading channels with arbitrary cross-correlation and fading parameters
IEEE Transactions on Wireless Communications
Estimators of the Nakagami-m parameter and performance analysis
IEEE Transactions on Wireless Communications
Tight error bounds for nonuniform signaling over AWGN channels
IEEE Transactions on Information Theory
Exact pairwise error probability of space-time codes
IEEE Transactions on Information Theory
A decomposition technique for efficient generation of correlated Nakagami fading channels
IEEE Journal on Selected Areas in Communications
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We study complex-valued Nakagami-m variates, establishing the moment determinance of the envelope, phase and joint envelope-phase Nakagami-m probability density functions (pdf's). Inspired by that result, we then show that Nakagami-m variates with arbitrary fading figure m can be accurately decomposed onto a mixture of Nakagami-m variates with integer or half-integer m, i.e, 2m ∈ N+. The latter has the immediate theoretical implication that results currently known to hold for Nakagami-m channels under the constraint 2m ∈ N+ can accurately be extended to arbitrary m via simple linear decomposition, with weights given by the random mixture probabilities, for which formulas are provided. The latter is illustrated with an example of the application of the random mixture decomposition to the simplification and generalization of bit error rate (BER) expressions for PSK modulation in the Nakagami-m relay channel. For completeness, implications on possible extensions and improvements of existing methods to generate Nakagami-m variates is also briefly discussed in the form of further examples.