Generalized phase-crossing rate and random FM noise for α-μ Fading channels

Anastasios K. Papazafeiropoulos; Stavros A. Kotsopoulos

doi:10.1109/TVT.2009.2029861

Generalized phase-crossing rate and random FM noise for α-μ Fading channels

Anastasios K. Papazafeiropoulos, Stavros A. Kotsopoulos

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

In this paper, the crossing statistics of phase processes and random frequency-modulation (FM) noise are studied for α-μ fading channels. Specifically, simple closed-form expressions for the probability density function (pdf) and the cumulative distribution function (cdf) of random FM noise as well as the generalized phase-crossing rate (GPCR) are derived. In addition, simple closed-form expressions for the conditional pdfs of the envelope and the random FM noise, which are conditioned on an arbitrary phase upward crossing level, are obtained and investigated. The formulations developed here are validated by means of Monte Carlo simulation and verified by comparison with results that are already known in the literature. These results correspond to special cases of the α-μ fading channels, such as Nakagami-m and Weibull channels.

Original language	English
Article number	5200462
Pages (from-to)	494-499
Number of pages	6
Journal	IEEE Transactions on Vehicular Technology
Volume	59
Issue number	1
DOIs	https://doi.org/10.1109/TVT.2009.2029861
Publication status	Published - Jan 2010

Keywords

α-μ fading model
Fading channels
Nakagami-m fading model
Phase-crossing rate
Random frequency-modulation (FM) noise
Weibull fading model

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10.1109/TVT.2009.2029861

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abstract = "In this paper, the crossing statistics of phase processes and random frequency-modulation (FM) noise are studied for α-μ fading channels. Specifically, simple closed-form expressions for the probability density function (pdf) and the cumulative distribution function (cdf) of random FM noise as well as the generalized phase-crossing rate (GPCR) are derived. In addition, simple closed-form expressions for the conditional pdfs of the envelope and the random FM noise, which are conditioned on an arbitrary phase upward crossing level, are obtained and investigated. The formulations developed here are validated by means of Monte Carlo simulation and verified by comparison with results that are already known in the literature. These results correspond to special cases of the α-μ fading channels, such as Nakagami-m and Weibull channels.",

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KW - α-μ fading model

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Generalized phase-crossing rate and random FM noise for α-μ Fading channels

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