Non-Asymptotic Bounds of Cumulant Generating Function of Codeword Lengths in Variable-Length Lossy Compression

نویسندگان

چکیده

This paper investigates the problem of variable-length source coding with criteria normalized cumulant generating function codeword lengths and excess distortion probability. We analyze non-asymptotic fundamental limit under constraint that probability is allowed up to ϵ ∈ [0, 1). Our achievability converse bounds are characterized by quantity related Rényi entropy.

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ژورنال

عنوان ژورنال: IEEE Transactions on Information Theory

سال: 2022

ISSN: ['0018-9448', '1557-9654']

DOI: https://doi.org/10.1109/tit.2022.3229358