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An extension of rate-distortion theory to confusion matrices

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1 Author(s)

A discrete confusion matrix is completely specified by a set of transition probabilities,P_{D}(y/x), wherexandyare the input and output symbols, respectively. In this paper we examine the possibility of simulating such a matrix by an available channel with processors at the input and output, when the source is specified beforehand. The central result is to show that such a simulation is always possible when the capacity of the available channel is larger than the mutual information between the source and the desired output. Conversely, such a simulation is not possible if the capacity is less than the mutual information. These results indicate the conditions under which it is physically possible to build transmitter-receiver pairs to approximate a desired discrete confusion matrix.

Published in:

Information Theory, IEEE Transactions on  (Volume:14 ,  Issue: 1 )

Date of Publication:

Jan 1968

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