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We investigate the second order asymptotics (source dispersion) of the successive refinement problem. Similar to the classical definition of a successively refinable source, we say that a source is strongly successively refinable if successive refinement coding can achieve the second order optimum rate (including the dispersion terms) at both decoders. We establish a sufficient condition for strong...
We demonstrate how successive refinement ideas can be used in point-to-point lossy compression problems in order to reduce complexity. We show two examples, the binary-Hamming and quadratic-Gaussian cases, in which a layered code construction results in a low complexity scheme that attains optimal performance. For example, when the number of layers grows with the block length n, we show how to design...
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