Perfect reconstruction circular convolution filter banks and their application to the implementation of bandlimited discrete wavelet transforms

M-channel Linear Phase Perfect Reconstruction Filter Bank with Integer Coeecients

This paper introduces a class of M-channel linear phase perfect reconstruction lter banks (LPPRFBs) with integer coeecients. The construction of these lter banks is based on a VLSI-friendly lattice structure which employs the minimum number of delay elements and robustly enforces both linear phase and perfect reconstruction properties. The lattice coeecients are parameterized as a series of lif...

Frequency-warped filter banks and wavelet transforms: a discrete-time approach via Laguerre expansion

In this paper, we introduce a new generation of perfect-reconstruction filter banks that can be obtained from classical critically sampled filter banks by means of frequency transformations. The novel filters are Laguerre type IIR filters that can be directly derived and designed from ordinary orthogonal or biorthogonal filter banks. Generalized downsampling and upsampling operators based on di...

Advances in Signal Transforms Theory and Applications

Contents Preface ix 1. Wavelet and frame transforms originated from continuous and discrete splines, Amir Z. Averbuch and Valery A. Zheludev 1 1.1. Introduction 1 1.2. Preliminaries 4 1.3. Prediction filters originated from splines 9 1.4. Biorthogonal wavelet transforms generated by filter banks with downsampling factor N = 2 (diadic transforms) 17 1.5. Application of spline-based wavelet trans...

A discrete-time multiresolution theory

Multiresolution analysis and synthesis for discretetime signals is described in this paper. Concepts of scale and resolution are first reviewed in discrete time. The resulting framework allows one to treat the discrete wavelet transform, octave-band perfect reconstruction filter banks, and pyramid transforms from a unified standpoint. This approach is very close to previous work on multiresolut...

A Study on the Coding Eeciency of Block Transforms, Cosine-modulated Perfect-reconstruction Filter Banks and Wavelets