Comments on "On verifying the first-order Markovian assumption for a Rayleigh fading channel model"

Author

Abdi, Ali

Author_Institution

Dept. of Electr. & Comput. Eng., Minnesota Univ., Minneapolis, MN, USA

Volume

48

Issue

5

fYear

1999

Firstpage

1739

Abstract

For original paper see Wang and Chang IEEE Trans. Veh. Technol., vol.45, p.353-7 (1996). In the present paper, the trivariate probability density function (PDF) for the envelope of a bandpass Gaussian process is derived. However, the multivariate PDF for the envelope of a bandpass Gaussian process having an arbitrary power spectrum has been previously reported. The Markovian behavior of the envelope process for the U-shaped power spectrum 1//spl radic/(1-f/sup 2/) was studied by Wang and Chang using an information theoretic approach. It is worth mentioning that several authors have formerly discussed that Markovian behavior for the rational power spectrum 1/(1+f/sup 2/) from a probabilistic point of view.

Keywords

Gaussian distribution; Markov processes; Rayleigh channels; information theory; spectral analysis; Markovian behavior; Rayleigh fading channel model; U-shaped power spectrum; bandpass Gaussian process; envelope; first-order Markovian assumption; information theoretic approach; multivariate PDF; power spectrum; rational power spectrum; trivariate probability density function; Communication channels; Fading; Gaussian processes; Land mobile radio; Markov processes; Mathematical analysis; Mutual information; Probability density function; Random processes; Rayleigh channels;

fLanguage

English

Journal_Title

Vehicular Technology, IEEE Transactions on

Publisher

ieee

ISSN

0018-9545

Type

jour

DOI

10.1109/25.790557

Filename

790557