# Quantized Overcomplete Expansions: Analysis, Synthesis and Algorithms

### V.K. Goyal

###
EECS Department

University of California, Berkeley

Technical Report No. UCB/ERL M95/57

1995

### http://www.eecs.berkeley.edu/Pubs/TechRpts/1995/ERL-95-57.pdf

OVERVIEW: Linear transforms and expansions are the fundamental mathematical tools of signal processing. Yet the properties of linear expansions in the presence of coefficient quantization are not yet fully understood. These properties are most interesting when signal representations are with respect to redundant, or overcomplete, sets of vectors. Exploring the effects of quantization in overcomplete linear expansions is the unifying theme of this work.

BibTeX citation:

@techreport{Goyal:M95/57, Author = {Goyal, V.K.}, Title = {Quantized Overcomplete Expansions: Analysis, Synthesis and Algorithms}, Institution = {EECS Department, University of California, Berkeley}, Year = {1995}, URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/1995/2819.html}, Number = {UCB/ERL M95/57}, Abstract = {OVERVIEW: Linear transforms and expansions are the fundamental mathematical tools of signal processing. Yet the properties of linear expansions in the presence of coefficient quantization are not yet fully understood. These properties are most interesting when signal representations are with respect to redundant, or overcomplete, sets of vectors. Exploring the effects of quantization in overcomplete linear expansions is the unifying theme of this work.} }

EndNote citation:

%0 Report %A Goyal, V.K. %T Quantized Overcomplete Expansions: Analysis, Synthesis and Algorithms %I EECS Department, University of California, Berkeley %D 1995 %@ UCB/ERL M95/57 %U http://www.eecs.berkeley.edu/Pubs/TechRpts/1995/2819.html %F Goyal:M95/57