Abstract

The geometric interpretation of sphere covering describing the
rate distortion problem of a Gaussian source with the
squared-error distortion measure is generalized to a Laplacian
source and the $\ell_1$-distortion measure. Using additional constraints
on the distortion measure, sphere covering is further generalized
to exponential sources and to Poisson point processes.

-||-   _|_ _|_     /    __|__   Stefan M. Moser
[-]     --__|__   /__\    /__   Senior Scientist, ETH Zurich, Switzerland
_|_     -- --|-    _     /  /   Adjunct Professor, National Yang Ming Chiao Tung University, Taiwan
/ \     []  \|    |_|   / \/    Web: https://moser-isi.ethz.ch/

Last modified: Mon Feb 1 15:02:24 CET 2021