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Open Access Research Article

A Generalized Algorithm for the Generation of Correlated Rayleigh Fading Envelopes in Wireless Channels

Le Chung Tran1*, Tadeusz A Wysocki2, Alfred Mertins3 and Jennifer Seberry4

Author Affiliations

1 Telecommunications and Information Technology Research Institute (TITR), School of Electrical, Computer and Telecommunications Engineering, University of Wollongong, Wollongong, NSW 2522, Australia

2 School of Electrical Computer and Telecommunications Engineering, Faculty of Informatics, University of Wollongong, Wollongong, NSW 2522, Australia

3 Signal Processing Group, Department of Physics, University of Oldenburg, Oldenburg 26111, Germany

4 School of Information Technology and Computer Science, Faculty of Informatics, University of Wollongong, Wollongong, NSW 2522, Australia

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EURASIP Journal on Wireless Communications and Networking 2005, 2005:710469  doi:10.1155/WCN.2005.801

Published: 12 December 2005

Abstract

Although generation of correlated Rayleigh fading envelopes has been intensively considered in the literature, all conventional methods have their own shortcomings, which seriously impede their applicability. A very general, straightforward algorithm for the generation of an arbitrary number of Rayleigh envelopes with any desired, equal or unequal power, in wireless channels either with or without Doppler frequency shifts, is proposed. The proposed algorithm can be applied to the case of spatial correlation, such as with multiple antennas in multiple-input multiple-output (MIMO) systems, or spectral correlation between the random processes like in orthogonal frequency-division multiplexing (OFDM) systems. It can also be used for generating correlated Rayleigh fading envelopes in either discrete-time instants or a real-time scenario. Besides being more generalized, our proposed algorithm is more precise, while overcoming all shortcomings of the conventional methods.

Keywords:
correlated Rayleigh fading envelopes; antenna arrays; OFDM; MIMO; Doppler frequency shift