Optimal filter banks for signal reconstruction from noisy subband components

Conventional design techniques for analysis and synthesis filters in subband processing applications guarantee perfect reconstruction of the original signal from its subband components. The resulting filters, however, lose their optimality when additive noise due, for example, to signal quantization...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on signal processing 1996-02, Vol.44 (2), p.212-224
Main Authors: Delopoulos, A.N., Kollias, S.D.
Format: Article
Language:English
Subjects:
Additive noise
Applied sciences
Detection, estimation, filtering, equalization, prediction
Error analysis
Exact sciences and technology
Filter bank
Information, signal and communications theory
Quantization
Signal analysis
Signal and communications theory
Signal design
Signal processing
Signal reconstruction
Signal synthesis
Signal, noise
Stochastic resonance
Telecommunications and information theory
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Conventional design techniques for analysis and synthesis filters in subband processing applications guarantee perfect reconstruction of the original signal from its subband components. The resulting filters, however, lose their optimality when additive noise due, for example, to signal quantization, disturbs the subband sequences. We propose filter design techniques that minimize the reconstruction mean squared error (MSE) taking into account the second order statistics of signals and noise in the case of either stochastic or deterministic signals. A novel recursive, pseudo-adaptive algorithm is proposed for efficient design of these filters. Analysis and derivations are extended to 2-D signals and filters using powerful Kronecker product notation. A prototype application of the proposed ideas in subband coding is presented. Simulations illustrate the superior performance of the proposed filter banks versus conventional perfect reconstruction filters in the presence of additive subband noise.
ISSN:1053-587X
1941-0476
DOI:10.1109/78.485918