Continuous state HMM modeling of flat fading channels

There are several discrete state Markov or hidden Markov models (HMMs) of the flat fading. These models assume that there is a finite number of discrete fading levels. The main reason for considering a discrete state model is simplicity of using these models in applications. Continuous state HMMs (CSHMMs) and, in particular, hidden Gauss-Markov models (HGMM) describe fading more accurately. In this paper, we present applications of CSHMMs to model flat fading and develop analytic methods for computing basic characteristics of the fading process by using the notion of operator probability.