Quantized Overcomplete Expansions: Analysis, Synthesis and Algorithms

V.K. Goyal

EECS Department
University of California, Berkeley
Technical Report No. UCB/ERL M95/57
July 1995

http://www2.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},
    Month = {Jul},
    URL = {http://www2.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://www2.eecs.berkeley.edu/Pubs/TechRpts/1995/2819.html
%F Goyal:M95/57