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

  • Authors:

  • Le Chung Tran;Tadeusz A. Wysocki;Jennifer Seberry;Alfred Mertins

  • Affiliations:

  • University of Wollongong, Australia;University of Wollongong, Australia;University of Wollongong, Australia;University of Oldenburg, Germany

  • Venue:
  • IPDPS '05 Proceedings of the 19th IEEE International Parallel and Distributed Processing Symposium (IPDPS'05) - Workshop 12 - Volume 13
  • Year:
  • 2005

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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. In this paper, a very general, straightforward algorithm for 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 in case of spatial correlation, such as with antenna arrays 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.