Multidimensional nonseparable oversampled lapped transforms: Theory and design

S Muramatsu, K Furuya, N Yuki - IEEE Transactions on Signal …, 2016 - ieeexplore.ieee.org
This paper extends the theory of the one-dimensional oversampled linear-phase perfect
reconstruction filter banks (OLPPRFBs) developed by Gan et al. to multidimensional (MD) …

Optimization of synthesis oversampled complex filter banks

J Gauthier, L Duval, JC Pesquet - IEEE Transactions on Signal …, 2009 - ieeexplore.ieee.org
An important issue with oversampled FIR analysis filter banks (FBs) is to determine inverse
synthesis FBs, when they exist. Given any complex oversampled FIR analysis FB, we first …

Lapped tight frame transforms

A Chebira, J Kovacevic - 2007 IEEE International Conference …, 2007 - ieeexplore.ieee.org
We propose a new class of equal-norm tight frames termed lapped tight frame transforms
(LTFTs). These can be seen as a redundant counterpart to bases known as lapped …

Systematic construction of real lapped tight frame transforms

A Sandryhaila, A Chebira, C Milo… - IEEE transactions on …, 2010 - ieeexplore.ieee.org
We present a constructive algorithm for the design of real lapped equal-norm tight frame
transforms. These transforms can be efficiently implemented through filter banks and have …

Oversampled inverse complex lapped transform optimization

J Gauthier, L Duval, JC Pesquet - 2007 IEEE International …, 2007 - ieeexplore.ieee.org
When an oversampled FIR filter bank structure is used for signal analysis, a main problem is
to guarantee its invertibility and to be able to determine an inverse synthesis filter bank. As …

Adaptive multiresolution frame classification of biomedical images

A Chebira - 2008 - search.proquest.com
This thesis presents a mathematical framework and an algorithm for the classification of
biomedical image data sets based on adaptive and redundant multiresolution …

Multiresolution techniques for the classification of bioimage and biometric datasets

A Chebira, J Kovačević - Wavelets XII, 2007 - spiedigitallibrary.org
We survey our work on adaptive multiresolution (MR) approaches to the classification of
biological and fingerprint images. The system adds MR decomposition in front of a generic …

A new class of seeded real lapped tight frame transforms

A Sandryhaila, A Chebira, M Püschel… - Wavelets XIII, 2009 - spiedigitallibrary.org
We propose a design procedure for the real, equal-norm, lapped tight frame transforms
(LTFTs). These transforms have been recently proposed as both a redundant counterpart to …

[PDF][PDF] Short-term Spectral Analysis and Synthesis improvements with oversampled inverse filter banks

L Duval - academia.edu
ABSTRACT The Short Term Fourier Transform (STFT) is a classical linear time-frequency
(TF) representation. Despites its relative simplicity, it has become a standard tool for the …

[PDF][PDF] A New Class of Real Lapped Tight Frame Transforms Derived by Seeding

A Sandryhailaa, A Chebirab, M Püschela, J Kovacevica - Citeseer
We propose a design procedure for the real, equal-norm, lapped tight frame transforms
(LTFTs). These transforms have been recently proposed as both a redundant counterpart to …