April 2005 | NTIA Technical Memo TM-05-423
Roger A. Dalke; George A. Hufford
Abstract: It has been proposed that first–order Markov channel models can be used to adequately predict the behavior of a mobile "Rayleigh" fading channel and hence improve the reliability of bidirectional mobile communications systems. Previous authors have addressed this question by applying information theory to the amplitude statistics of a stationary mobile communications channel. The previous work required numerical analysis to show that for a particular covariance function and range of relevant parameters (i.e., Doppler frequency, symbol period), the channel is approximately first–order Markov. In our analysis, both amplitude and phase information are used to obtain analytic expressions which can easily be used to determine if a non–stationary arbitrary Rayleigh channel is necessarily first-order Markov. The analytic results are given in terms of arbitrary covariance functions that can readily be applied to measurements. In particular, our results show that the previously studied mobile channel is not first–order Markov in character.
Keywords: reliability; mobile communications; information theory; Gaussian process; Markov process; Rayleigh fading
Disclaimer: Certain commercial equipment, components, and software may be identified in this report to specify adequately the technical aspects of the reported results. In no case does such identification imply recommendation or endorsement by the National Telecommunications and Information Administration, nor does it imply that the equipment or software identified is necessarily the best available for the particular application or uses.