Title :
Failure of successive refinement for symmetric Gaussian mixtures
Author :
Chow, James ; Berger, Toby
Author_Institution :
Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA
fDate :
1/1/1997 12:00:00 AM
Abstract :
We show that information refinement fails for a continuous alphabet source whose input distribution is the symmetric mixture of normal densities with means -μ and μ and common variance σ 2
Keywords :
Gaussian processes; information theory; continuous alphabet source; information refinement; input distribution; means; normal densities; successive refinement; symmetric Gaussian mixtures; symmetric mixture; variance; Channel capacity; Image coding; Information theory; Lattices; Propagation losses; Rate distortion theory; Rate-distortion; Shape; Upper bound; Vector quantization;
Journal_Title :
Information Theory, IEEE Transactions on
