Finite-state Markov Model for Lognormal, Chi-square (Central), Chi-square (Non-central), and K-distributions


DOI: 10.1007/s10776-007-0065-2

Cite this article as:
Bhaskar, V. Int J Wireless Inf Networks (2007) 14: 237. doi:10.1007/s10776-007-0065-2


This paper formulates a finite-state Markov channel model to represent received signal-to-noise (SNR) ratios having lognormal, K-distribution, chi-square (central) and chi-square (non-central) distributions in a slow fading channel. The range of the SNRs is partitioned into a finite number of states following earlier works in literature. Performance measures like level crossing rates, steady-state probabilities, transition probabilities, and state-time durations are derived, and numerical results are plotted and discussed for the FSMC models for all the distributions.

Key words

Lognormal distribution K-distribution Chi-square (central) distribution Chi-square (non-central) distribution Level crossing rate Average fade duration 

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of Electronics and Communication EngineeringSRM UniversityKancheepuramIndia

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