Inherently lossless structures for eight-and six-channel linear-phase paraunitary filter banks based on quaternion multipliers

M Parfieniuk, A Petrovsky - Signal Processing, 2010 - Elsevier
Novel factorizations for 8-and 6-channel linear-phase paraunitary filter banks are presented,
which are aimed at finite-precision implementation. Using quaternion multipliers as essential …

-Channel Oversampled Graph Filter Banks

Y Tanaka, A Sakiyama - IEEE Transactions on Signal …, 2014 - ieeexplore.ieee.org
This paper proposes M-channel oversampled filter banks for graph signals. The filter set
satisfies the perfect reconstruction condition. A method of designing oversampled graph filter …

[PDF][PDF] Paraunitary oversampled filter bank design for channel coding

S Weiss, S Redif, T Cooper, C Liu, PD Baxter… - EURASIP Journal on …, 2006 - Springer
Oversampled filter banks (OSFBs) have been considered for channel coding, since their
redundancy can be utilised to permit the detection and correction of channel errors. In this …

Oversampled linear-phase perfect reconstruction filterbanks: Theory, lattice structure and parameterization

L Gan, KK Ma - IEEE transactions on signal processing, 2003 - ieeexplore.ieee.org
The paper presents the theory, lattice structure, and parameterization for a general class of P-
channel oversampled linear-phase perfect reconstruction filterbanks (OLPPRFBs)-systems …

Frame-theory-based analysis and design of oversampled filter banks: Direct computational method

L Chai, J Zhang, C Zhang… - IEEE transactions on signal …, 2007 - ieeexplore.ieee.org
This paper studies the frames corresponding to oversampled filter banks (FBs). For this class
of FB frames, we present a state-space parameterization of perfect reconstruction FB frames …

A direct design of oversampled perfect reconstruction FIR filter banks

T Tanaka - IEEE transactions on signal processing, 2006 - ieeexplore.ieee.org
We address a problem to find optimal synthesis filters of oversampled uniform finite-impulse-
response (FIR) filter banks (FBs) yielding perfect reconstruction (PR), when we are given an …

Lattice factorization based causal symmetric paraunitary matrix extension and construction of symmetric orthogonal multiwavelets

CW Ri - Journal of Computational and Applied Mathematics, 2024 - Elsevier
In this paper, we propose a lattice factorization based symmetric paraunitary matrix
extension method to design a causal symmetric paraunitary multifilter banks (PUMFBs) and …

The generalized lapped pseudo-biorthogonal transform: Oversampled linear-phase perfect reconstruction filterbanks with lattice structures

T Tanaka, Y Yamashita - IEEE transactions on signal …, 2004 - ieeexplore.ieee.org
We investigate a lattice structure for a special class of N-channel oversampled linear-phase
perfect reconstruction filterbanks with a decimation factor M smaller than N. We deal with …

Design of oversampled DFT-modulated filter banks via modified Newton's method

JZ Jiang, PL Shui, ZJ Zhang - IET signal processing, 2011 - IET
This study proposes a modified Newton's algorithm to design oversampled single-prototype
causal FIR nearly perfect reconstruction DFT-modulated filter banks allowing low system …

Time-domain oversampled lapped transforms: Theory, structure, and application in image coding

L Gan, KK Ma - IEEE transactions on signal processing, 2004 - ieeexplore.ieee.org
This paper generalizes time-domain lapped transforms (TDLTs) proposed by Tran et al. to
oversampled systems, thus leading to time-domain oversampled lapped transforms …