Asymmetric Multiple Description Lattice Vector Quantizers

by

Suhas N. Diggavi, N. J. A. Sloane and Vinay A. Vaishampayan 

Information Sciences Research
AT&T Shannon Lab
Florham Park, NJ 07932-0971 USA

Email: {suhas,njas,vinay}@research.att.com

Abstract

We consider the design of asymmetric multiple description lattice quantizers
that cover the entire spectrum of the distortion profile, ranging from
symmetric or balanced to successively refinable. 
We present a solution to a labeling problem, which is an important part of
the construction, along with a general design procedure.
This procedure is illustrated using the Z^2 lattice.
The asymptotic performance of the quantizer is analyzed in the high-rate case.
We also evaluate its rate-distortion performance and compare
it to known information theoretic bounds.


This paper was published (in a somewhat different form) in
IEEE Trans. Information Theory, 48 (2002), 174-191.


For the full version see
http://www.research.att.com/~njas/doc/Full_main_mdc.pdf (pdf) or
http://www.research.att.com/~njas/doc/Full_main_mdc.ps (ps)