On the Capacity of Censored Channels


A. Behboodi, G. Alirezaei, R. Mathar,


        The censored channel is the cascade of an additive noise channel with a clipping operator that restricts the signal to the interval [0, 1]. In this paper, after discussing the generality of the considered model, the mutual information of the censored channel is proven to be a continuous function of the input probability distribution whenever the probability density of the noise is bounded. Moreover, there is an input-distribution of bounded support that achieves capacity for a class of noise distributions with bounded support. For a more general class of noise distributions, the capacity can be approximated arbitrarily close using only input-distributions of bounded support. This support is determined only based on the noise distribution and the desired approximation error. These results constitute a first step for characterization of the capacity of censored channels.

BibTEX Reference Entry 

	author = {Arash Behboodi and Gholamreza Alirezaei and Rudolf Mathar},
	title = "On the Capacity of Censored Channels",
	booktitle = "11th International {ITG} Conference on Systems, Communications and Coding (SCC'17)",
	address = {Hamburg, Germany},
	month = Feb,
	year = 2017,
	hsb = RWTH-2017-02298,


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