On uncoded transmission and blocklength

Kochman, Yuval; Wornell, Gregory W.

doi:10.1109/itw.2012.6404648

2012 IEEE Information Theory Workshop 2012

DOI: 10.1109/itw.2012.6404648

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On uncoded transmission and blocklength

Yuval Kochman¹,

Gregory W. Wornell²

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Cited by 2 publications

References 9 publications

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Excess distortion in lossy compression: Beyond one-shot analysis

Kochman

Wornell

2015

2015 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton)

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The problem of finite-blocklength lossy compression under an excess-distortion constraint is considered. If the blocklength constraint comes from the length of the source sequence itself, the excess rate needed above the rate-distortion function decays inversely proportional to the square root of the blocklength, according to second-order (dispersion) analysis. We consider a different case, where the source emits a long sequence, but shorter sub-sequences are considered for reasons such as delay, complexity and smoothness of the reconstruction fidelity. We analyze the redundancy of the rate with respect to different constraints. We show that the rate redundancy with respect to the processing blocklength, i.e. the dimension of the quantizer used, decays much faster than the dispersion analysis suggests. Thus, one may use much shorter source codes without sacrificing second-order performance.

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Excess distortion in lossy compression: Beyond one-shot analysis

Kochman

Wornell

2015

2015 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton)

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Lossy compression with a short processing block: Asymptotic analysis

Kochman

Wornell

2014

2014 IEEE 28th Convention of Electrical &Amp; Electronics Engineers in Israel (IEEEI)

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On uncoded transmission and blocklength

Cited by 2 publications

References 9 publications

Excess distortion in lossy compression: Beyond one-shot analysis

Excess distortion in lossy compression: Beyond one-shot analysis

Lossy compression with a short processing block: Asymptotic analysis

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