[PDF][PDF] Perfect Reconstruction (PR)

F Banks - authors.library.caltech.edu
… of the M channel maximally decimated filter bank can be … cosine modulated paraunitary
filter banks. A detailed study of … is no need to compute spectral factors of high order half-band …

[PDF][PDF] Filter Banks

C Modulated - authors.library.caltech.edu
… Recall that the paraunitary property is the same as … three types of M-channel maximally
decimated filter banks, in terms of … The general perfect reconstruction system with paraunitary E(…

[HTML][HTML] Optimal maximally decimated M-channel mirrored paraunitary linear phase FIR filter bank design via norm relaxed sequential quadratic programming

Q Liu, BWK Ling, Q Dai, Q Miao… - Journal of Industrial and …, 2021 - aimsciences.org
… maximally decimated M-channel mirrored paraunitary linear phase … filter bank design
problem is formulated as an optimization problem in such a way that the total mirrored paraunitary

[PDF][PDF] Filter Banks

M Decimated - authors.library.caltech.edu
… matrices with the so-called paraunitary property. It has since been … ideas for the case of M
channel filter banks, and develop the … Equating, in particular, the factors of these denominators …

Complete Factorization of the 2m-Band Paraunitary Polyphase Matrix with Multiple Centers of Symmetry

G Wang, Y Chen, D Yi - Circuits, Systems, and Signal Processing, 2020 - Springer
… Recently, a new design method for biorthogonal filter banks based … factorization for
paraunitary matrices can be found in [5]. As an extension, a lifting factorization for matrix filter banks

Random Paraunitary Projections

RL de Queiroz - arXiv preprint arXiv:2106.10746, 2021 - arxiv.org
… which is the expression for the Givens factorization [4]. The … The M × M system H(z) can be
seen as an M-channel filter bank… z) the representation of the paraunitary system, but with down…

Polynomial Eigenvalue Decomposition for Multichannel Broadband Signal Processing: A mathematical technique offering new insights and solutions

VW Neo, S Redif, JG McWhirter… - IEEE Signal …, 2023 - ieeexplore.ieee.org
… for invertibility, and spectral factorizations with minimum phase … to describe lossless filter
bank systems using polyphase … -Hermitian eigenvalues and paraunitary eigenvectors for a …

[PDF][PDF] Alan V. Oppenheim, Series Editor

ED HAYKIN, ED Lea, ED LIM - authors.library.caltech.edu
… or paraunitary) systems, which are required for a deeper understanding of multirate filter banks
… One of these is a technique for spectral factorization; the other one analyzes the effects of …

[PDF][PDF] Polynomial Eigenvalue Decomposition for Multichannel Broadband Signal Processing

JG McWhirter, J Pestana, IK Proudler - researchgate.net
… context for invertibility, or spectral factorizations with minimum phase components in …
paraunitary filter banks for subband coding were suboptimal. PEVDdesigned M-channel filter banks

Wavelet transforms

PP Vaidyanathan, I Djokovic - Mathematics for Circuits and Filters, 2022 - taylorfrancis.com
… of a general class of M channel filter banks satisfying a property … Factorization theorems exist
for matrices which allow the … we can start from a paraunitary digital filter bank and construct …