A Caltech Library Service

Role of principal component filter banks in noise reduction

Akkarakaran, Sony and Vaidyanathan, P. P. (1999) Role of principal component filter banks in noise reduction. In: Wavelet Applications in Signal and Image Processing VII. Proceedings of SPIE. No.3813. Society of Photo-optical Instrumentation Engineers (SPIE) , Bellingham, WA, pp. 346-357. ISBN 9780819432995.

[img] PDF - Published Version
See Usage Policy.


Use this Persistent URL to link to this item:


The purpose of this paper is to demonstrate the optimality properties of principal component filter-banks for various noise reduction schemes. Optimization of filter-banks (FB's) for coding gain maximization has been carried out in the literature, and the optimized solutions have been observed to satisfy the principal component property, which has independently been studied. Here we show a strong connection between the optimality and the principal component property; which allows us to optimize FB's for many other objectives. Thus, we consider the noise-reduction scheme where a noisy signal is analyzed using a FB and the subband signals are processed either using a hard-threshold operation or a zeroth order Wiener filter. For these situations, we show that a principal FB is again optimal in the sense of minimizing the expected mean-square error.

Item Type:Book Section
Related URLs:
URLURL TypeDescription
Vaidyanathan, P. P.0000-0003-3003-7042
Additional Information:© 1999 Society of Photo-Optical Instrumentation Engineers (SPIE). Work supported in part by the National ScienceFoundation under Grant MIP 0703755.
Funding AgencyGrant Number
Subject Keywords:Principal Component Filter-Banks, noise-reduction
Series Name:Proceedings of SPIE
Issue or Number:3813
Record Number:CaltechAUTHORS:20181204-132721745
Persistent URL:
Official Citation:Sony J. Akkarakaran, Palghat P. Vaidyanathan, "Role of principal component filter banks in noise reduction," Proc. SPIE 3813, Wavelet Applications in Signal and Image Processing VII, (26 October 1999); doi: 10.1117/12.366792
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:91443
Deposited By: George Porter
Deposited On:06 Dec 2018 00:18
Last Modified:16 Nov 2021 03:41

Repository Staff Only: item control page