On Fidelity Per Unit Cost
We consider source coding with a ﬁdelity criterion, channel coding with a channel input constraint, and the combined problem of reproducing a source across a noisy channel. All three cases face a similar tradeoff between resource and performance, and the operating point with the highest performance per resource is of particular interest. In the case of channel coding, channel input cost is traded for rate, and the optimal tradeoff corresponds to the capacity per unit cost. We deﬁne equivalent notions for the other two cases and show how they relate. For each case we give necessary and sufﬁcient conditions for the optimal tradeoff to be achieved.
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Record created on 2009-11-19, modified on 2016-08-08