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A generalized Blahut-Arimoto algorithm

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1 Author(s)
Vontobel, P.O. ; Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA

Kavcic proposed in (A. Kavcic, 2001) an algorithm that apparently finds the mutual-information-rate-maximizing parameters of a Markov source at the input to an indecomposable finite-state channel. In this paper we prove that the stationary points of this algorithm indeed correspond one-to-one to the critical points of the information-rate curve. Kavcic's algorithm can be considered as a generalized Blahut-Arimoto algorithm, as it includes as special cases the classical Blahut-Arimoto algorithm for discrete memoryless channels (DMCs) and the solution to finding the capacity-achieving input distribution for finite-state channels with no noise (C.E. Shannon, 1948).

Published in:

Information Theory, 2003. Proceedings. IEEE International Symposium on

Date of Conference:

29 June-4 July 2003