Highly accurate κ-μ approximation to sum of M independent non-identical Ricean variates

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© IEE
Published 29/07/2012

Abstract

A scheme to approximate the distribution of the sum of M independent, non-identically distributed Ricean random variables by the κ-μ distribution is proposed. To this end, appropriate κ-μ distribution parameters are derived. The summands are assumed to have arbitrary mean powers and arbitrary fading parameters. The differences between exact and approximate distribution curves are almost imperceptible.

Inspec keywords: approximation theory; Rician channels; statistical distributions

Other keywords: fading statistics; kappa-mu distribution parameters; arbitrary mean power; κ-μ approximation; arbitrary fading parameters; wireless fading channel; summands; Nakagami-m distribution; independent nonidentical Ricean variates; Rayleigh distribution; exact distribution curves; independent nonidentically distributed Ricean random variables; approximate distribution curves; kappa-mu approximation; Rice distribution

Subjects: Other topics in statistics; Radio links and equipment; Information theory; Interpolation and function approximation (numerical analysis)

References

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      • Nakagami, M., Hoffman, W.G.: The , Statistical methods in radio wave propagation, 1960 (Pergamon PressOxford)
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      • Karagiannidis, G.K., Kotsopoulus, S.A.: `On the distribution of the weighted sum of L independent Rician and Nakagami envelopes in the presence of AWGN', KICS J. Commun. Netw., 2001, 3, (2), p. 26-30
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      • Yacoub, M.D.: `The κ-μ distribution: a general fading distribution', IEEE Vehicular Technology Conf., October 2001, Atlantic City, NJ, USA, 3, p. 1427–1431
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