A generalized algorithm for the generation of correlated Rayleigh fading envelopes in radio channels

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

doi:10.1109/IPDPS.2005.28

A generalized algorithm for the generation of correlated Rayleigh fading envelopes in radio channels

Le Chung Tran, Tadeusz A. Wysocki, Jennifer Seberry, Alfred Mertins

Institute of Signal Processing

University of Wollongong

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.

Original language	English
Title of host publication	19th IEEE International Parallel and Distributed Processing Symposium
Number of pages	8
Publisher	IEEE
Publication date	01.12.2005
Pages	1-8
Article number	1420164
ISBN (Print)	0-7695-2312-9
DOIs	https://doi.org/10.1109/IPDPS.2005.28
Publication status	Published - 01.12.2005
Event	19th IEEE International Parallel and Distributed Processing Symposium - Denver , United States Duration: 04.04.2005 → 08.04.2005 Conference number: 67370

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10.1109/IPDPS.2005.28

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Tran, L. C., Wysocki, T. A., Seberry, J., & Mertins, A. (2005). A generalized algorithm for the generation of correlated Rayleigh fading envelopes in radio channels. In 19th IEEE International Parallel and Distributed Processing Symposium (pp. 1-8). Article 1420164 (IEEE International Parallel and Distributed Processing Symposium). IEEE. https://doi.org/10.1109/IPDPS.2005.28

@inproceedings{4c03ce38c6074effb543652bde0fa6fe,

title = "A generalized algorithm for the generation of correlated Rayleigh fading envelopes in radio channels",

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.",

author = "Tran, {Le Chung} and Wysocki, {Tadeusz A.} and Jennifer Seberry and Alfred Mertins",

year = "2005",

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note = "19th IEEE International Parallel and Distributed Processing Symposium , IPDPS 2005 ; Conference date: 04-04-2005 Through 08-04-2005",

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Tran, LC, Wysocki, TA, Seberry, J & Mertins, A 2005, A generalized algorithm for the generation of correlated Rayleigh fading envelopes in radio channels. in 19th IEEE International Parallel and Distributed Processing Symposium., 1420164, IEEE International Parallel and Distributed Processing Symposium, IEEE, pp. 1-8, 19th IEEE International Parallel and Distributed Processing Symposium , Denver , Colorado, United States, 04.04.05. https://doi.org/10.1109/IPDPS.2005.28

A generalized algorithm for the generation of correlated Rayleigh fading envelopes in radio channels. / Tran, Le Chung; Wysocki, Tadeusz A.; Seberry, Jennifer et al.
19th IEEE International Parallel and Distributed Processing Symposium. IEEE, 2005. p. 1-8 1420164 (IEEE International Parallel and Distributed Processing Symposium).

Research output: Chapters in Books/Reports/Conference Proceedings › Conference contribution › peer-review

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T1 - A generalized algorithm for the generation of correlated Rayleigh fading envelopes in radio channels

AU - Tran, Le Chung

AU - Wysocki, Tadeusz A.

AU - Seberry, Jennifer

AU - Mertins, Alfred

N1 - Conference code: 67370

PY - 2005/12/1

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N2 - 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.

AB - 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.

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M3 - Conference contribution

SN - 0-7695-2312-9

T3 - IEEE International Parallel and Distributed Processing Symposium

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BT - 19th IEEE International Parallel and Distributed Processing Symposium

PB - IEEE

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A generalized algorithm for the generation of correlated Rayleigh fading envelopes in radio channels

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