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- W606017488 abstract "We investigate the second order asymptotics (source dispersion) of the successive refinement problem. Similarly 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 successive refinability. We show that any discrete source under Hamming distortion and the Gaussian source under quadratic distortion are strongly successively refinable. We also demonstrate how successive refinement ideas can be used in point-to-point lossy compression problems in order to reduce complexity. We give two examples, the binary-Hamming and Gaussian-quadratic 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 an $O(n^{log(n)})$ algorithm that asymptotically achieves the rate-distortion bound." @default.
- W606017488 created "2016-06-24" @default.
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- W606017488 date "2015-06-10" @default.
- W606017488 modified "2023-09-25" @default.
- W606017488 title "Strong Successive Refinability and Rate-Distortion-Complexity Tradeoff" @default.
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- W606017488 doi "https://doi.org/10.48550/arxiv.1506.03407" @default.
- W606017488 hasPublicationYear "2015" @default.
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