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

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.

Authors and Affiliations

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

   Le Chung Tran

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

   Tadeusz A Wysocki

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

   Alfred Mertins

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

   Jennifer Seberry

Corresponding author

Correspondence to Le Chung Tran.

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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