Coding into a source: a direct inverse Rate-Distortion theorem
Mukul Agarwal, Anant Sahai, Sanjoy Mitter
Abstract
Shannon proved that if we can transmit bits reliably at rates larger than the rate distortion function R(D), then we can transmit this source to within a distortion D. We answer the converse question ``If we can transmit a source to within a distortion D, can we transmit bits reliably at rates less than the rate distortion function?'' in the affirmative. This can be viewed as a direct converse of the rate distortion theorem.
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