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Abstract: We study the design of signal--adapted FIR paraunitary filter banks, using energy compaction as the adaptation criterion. We present some important properties that globally optimal solutions to this optimization problem satisfy. In particular, we show that the optimal filters in the first channel of the filter bank are spectral factors of the solution to a linear semi--infinite programming (SIP) problem. The remaining filters are related to the first through a matrix eigenvector decomposition.... (Update)
Context of citations to this paper: More
...usually analytically intractable. 3. 3 The sequential compaction algorithm This is an algorithm that has sometimes been proposed [20] [13] to find a good FB in classes C that may not have PCFB s. We first state the algorithm in a precise manner that holds for any general...
...absence of a PCFB, the algorithm will be suboptimal for a large number of objectives. Since this was previously shown only by numerical examples [4], it provides a new insight into the problem. Work supported in part by the National Science Foundation under Grant MIP 0703755....
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BibTeX entry: (Update)
P. Moulin and M.K. Mih¸cak. Theory and design of signal--adapted FIR paraunitary filter banks. IEEE Trans. SP, 46(4):920--929, April 1998. http://citeseer.ist.psu.edu/article/moulin98theory.html More
@misc{ moulin98theory,
author = "P. Moulin and M. Mih",
title = "Theory and design of signal--adapted FIR paraunitary filter banks",
text = "P. Moulin and M.K. Mih¸cak. Theory and design of signal--adapted FIR paraunitary
filter banks. IEEE Trans. SP, 46(4):920--929, April 1998.",
year = "1998",
url = "citeseer.ist.psu.edu/article/moulin98theory.html" }
Citations (may not include all citations):530 Linear and Nonlinear Programming (context) - Luenberger - 1984
368 Table of Integrals (context) - Gradshteyn, Ryzhik - 1980
356 Multirate Systems and Filter Banks (context) - Vaidyanathan - 1993
282 Wavelets and Subband Coding (context) - Vetterli, Kovacevi'c - 1995
54 Principal Component Filter Banks for Optimal Multiresolution.. (context) - Tsatsanis, Giannakis - 1995
33 Improved Technique for Design of Perfect Reconstruction FIR .. (context) - Vaidyanathan, Nguyen et al. - 1989
30 Signal-Adapted Multiresolution Transform for Image Coding (context) - Delsarte, Macq et al. - 1992
25 User's Guide (context) - Toolbox - 1990
15 The Role of Linear Semi--Infinite Programming in Signal--Ada.. - Moulin, Anitescu et al. - 1997
13 Semi-Infinite Programming: Theory, Methods, and Applications (context) - Hettich, Kortanek - 1993
12 Theory of Regular M--Band Wavelet Bases - Steffen, Heller et al. - 1993
6 Transform Image Coding based on Joint Adaptation of Filter B.. - Moulin, Ramchandran et al. - 1996
4 Multi--Dimensional, Paraunitary Principal Component Filter B.. - Xuan, Bamberger - 1995
4 Germany and Rice Univ (context) - by, from et al.
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