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- W2915570500 abstract "This paper considers a problem of lossy compression of generalized Gaussian (GG) sources (i.e., sources with the probability density functions proportional to $mathrm {e}^{-frac {|x|^{mathrm {S}}}{2}}$, $s gt 0$) with an $ell _{r}, r gt 0$, distortion measure.It is shown that an optimal reconstruction distribution always exists and properties of this distribution are studied. In particular, it is shown that if $s leq r-1$ then an optimal reconstruction must have unbounded support and for $s gt r$ an optimal reconstruction must have bounded support. Further, it is shown that Shannon’s lower bound is achievable if and only if $r = s in (0,1$] $cup {2}$, or in other words when the GG distribution is self-decomposable. Finally, conditions are shown under which an optimal reconstruction is discrete with finitely many mass points." @default.
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- W2915570500 date "2018-12-01" @default.
- W2915570500 modified "2023-09-26" @default.
- W2915570500 title "On Lossy Compression of Generalized Gaussian Sources" @default.
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- W2915570500 doi "https://doi.org/10.1109/icsee.2018.8646192" @default.
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