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

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Abstract

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.

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Authors and Affiliations

  1. Department of Electronics and Communication Engineering, SRM University, Kattankulathur, Kancheepuram, 603203, India

    Vidhyacharan Bhaskar

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  1. Vidhyacharan Bhaskar
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Correspondence to Vidhyacharan Bhaskar.

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Bhaskar, V. Finite-state Markov Model for Lognormal, Chi-square (Central), Chi-square (Non-central), and K-distributions. Int J Wireless Inf Networks 14, 237–250 (2007). https://doi.org/10.1007/s10776-007-0065-2

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  • DOI: https://doi.org/10.1007/s10776-007-0065-2

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