2022 IEEE International Symposium on Information Theory, ISIT 2022, Espoo, Finlandiya, 26 Haziran - 01 Temmuz 2022, cilt.2022-June, ss.3061-3066
On the fast-fading discrete memoryless channels (DMCs) with channel state information at the receiver a necessary and sufficient condition is determined for the tilted channel associated with an input distribution to be the product of a tilted channel state distribution and the tilted channel associated with the same input distribution on the non-fading DMC for the given channel state. On fading channels for which constituent channels associated with different channel states share a common Augustin capacity-achieving input distribution aforementioned necessary and sufficient condition is shown to hold, and a parametric form for the sphere packing exponent (SPE) is obtained in terms of the tilted channel state distribution and the tilted channel of the nonfading DMC for the given channel state. The SPE of fast-fading binary erasure and binary symmetric channels with channel state information at the receiver are analyzed as examples.