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An adaptive approach to wavelet filt...

Neretti, Nicola.

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An adaptive approach to wavelet filter design.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	An adaptive approach to wavelet filter design./
Author:	Neretti, Nicola.
Description:	103 p.
Notes:	Adviser: Leon N. Cooper.
Contained By:	Dissertation Abstracts International62-02B.
Subject:	Applied Mechanics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3006774
ISBN:	049316085X

An adaptive approach to wavelet filter design.
Neretti, Nicola.

An adaptive approach to wavelet filter design. - 103 p.

Adviser: Leon N. Cooper.

Thesis (Ph.D.)--Brown University, 2001.

A novel approach to wavelet filter design is introduced. Motivated by the fact that different transforms lead to different time-frequency representations of the same signal, we present a general framework for the design of a mother wavelet best adapted to a specific signal or to a class of signals for a specific task. The filter is obtained through an unconstrained optimization over a compact manifold of an objective function. We explicitly reparametrize the filter's coefficients using a lattice decomposition so that the orthogonality constrains are automatically satisfied, and derive an expression for the gradient of the objective function with respect to the lattice angles. Any gradient-based optimization can then be used to find the optimal solution. We show that the framework we have developed is not constrained to wavelet transforms, but can be extended directly to a generic wavelet packet basis. It is then possible to optimize the specific basis and the filters jointly.

ISBN: 049316085XSubjects--Topical Terms:

1018410
Applied Mechanics.

An adaptive approach to wavelet filter design.
LDR:01809nam 2200265 a 45 001 930975
005 20110429
008 110429s2001 eng d
020 $a 049316085X
035 $a (UnM)AAI3006774
035 $a AAI3006774
040 $a UnM $c UnM
100 1 $a Neretti, Nicola. $3 1254524
245 1 0 $a An adaptive approach to wavelet filter design.
300 $a 103 p.
500 $a Adviser: Leon N. Cooper.
500 $a Source: Dissertation Abstracts International, Volume: 62-02, Section: B, page: 0927.
502 $a Thesis (Ph.D.)--Brown University, 2001.
520 $a A novel approach to wavelet filter design is introduced. Motivated by the fact that different transforms lead to different time-frequency representations of the same signal, we present a general framework for the design of a mother wavelet best adapted to a specific signal or to a class of signals for a specific task. The filter is obtained through an unconstrained optimization over a compact manifold of an objective function. We explicitly reparametrize the filter's coefficients using a lattice decomposition so that the orthogonality constrains are automatically satisfied, and derive an expression for the gradient of the objective function with respect to the lattice angles. Any gradient-based optimization can then be used to find the optimal solution. We show that the framework we have developed is not constrained to wavelet transforms, but can be extended directly to a generic wavelet packet basis. It is then possible to optimize the specific basis and the filters jointly.
590 $a School code: 0024.
650 4 $a Applied Mechanics. $3 1018410
690 $a 0346
710 2 0 $a Brown University. $3 766761
773 0 $t Dissertation Abstracts International $g 62-02B.
790 $a 0024
790 1 0 $a Cooper, Leon N., $e advisor
791 $a Ph.D.
792 $a 2001
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3006774