Design of M-Channel Perfect Reconstruction Filter Banks with IIR-FIR Hybrid Building Blocks
Summary :
This paper discusses a new structure of M-channel IIR perfect reconstruction filter banks. A novel building block defined as a cascade connection of some IIR building blocks and FIR building blocks is presented. An IIR building block is written by state space representation, where we easily obtain a stable filter bank by setting eigenvalues of the state transition matrix into the unit circle. Due to cascade connection of building blocks, we are able to design a system with a larger number of free parameters while keeping the stability. We introduce the condition which obtains the new building block without increasing of the filter order in spite of cascade connection. Additionally, by showing the simulation results, we show that this implementation has a better stopband attenuation than conventional methods.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E90-A No.8 pp.1636-1643
- Publication Date
- 2007/08/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e90-a.8.1636
- Type of Manuscript
- PAPER
- Category
- Digital Signal Processing
Authors
Keyword
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Shunsuke IWAMURA, Taizo SUZUKI, Yuichi TANAKA, Masaaki IKEHARA, "Design of M-Channel Perfect Reconstruction Filter Banks with IIR-FIR Hybrid Building Blocks" in IEICE TRANSACTIONS on Fundamentals,
vol. E90-A, no. 8, pp. 1636-1643, August 2007, doi: 10.1093/ietfec/e90-a.8.1636.
Abstract: This paper discusses a new structure of M-channel IIR perfect reconstruction filter banks. A novel building block defined as a cascade connection of some IIR building blocks and FIR building blocks is presented. An IIR building block is written by state space representation, where we easily obtain a stable filter bank by setting eigenvalues of the state transition matrix into the unit circle. Due to cascade connection of building blocks, we are able to design a system with a larger number of free parameters while keeping the stability. We introduce the condition which obtains the new building block without increasing of the filter order in spite of cascade connection. Additionally, by showing the simulation results, we show that this implementation has a better stopband attenuation than conventional methods.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e90-a.8.1636/_p
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@ARTICLE{e90-a_8_1636,
author={Shunsuke IWAMURA, Taizo SUZUKI, Yuichi TANAKA, Masaaki IKEHARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Design of M-Channel Perfect Reconstruction Filter Banks with IIR-FIR Hybrid Building Blocks},
year={2007},
volume={E90-A},
number={8},
pages={1636-1643},
abstract={This paper discusses a new structure of M-channel IIR perfect reconstruction filter banks. A novel building block defined as a cascade connection of some IIR building blocks and FIR building blocks is presented. An IIR building block is written by state space representation, where we easily obtain a stable filter bank by setting eigenvalues of the state transition matrix into the unit circle. Due to cascade connection of building blocks, we are able to design a system with a larger number of free parameters while keeping the stability. We introduce the condition which obtains the new building block without increasing of the filter order in spite of cascade connection. Additionally, by showing the simulation results, we show that this implementation has a better stopband attenuation than conventional methods.},
keywords={},
doi={10.1093/ietfec/e90-a.8.1636},
ISSN={1745-1337},
month={August},}
Copy
TY - JOUR
TI - Design of M-Channel Perfect Reconstruction Filter Banks with IIR-FIR Hybrid Building Blocks
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1636
EP - 1643
AU - Shunsuke IWAMURA
AU - Taizo SUZUKI
AU - Yuichi TANAKA
AU - Masaaki IKEHARA
PY - 2007
DO - 10.1093/ietfec/e90-a.8.1636
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E90-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2007
AB - This paper discusses a new structure of M-channel IIR perfect reconstruction filter banks. A novel building block defined as a cascade connection of some IIR building blocks and FIR building blocks is presented. An IIR building block is written by state space representation, where we easily obtain a stable filter bank by setting eigenvalues of the state transition matrix into the unit circle. Due to cascade connection of building blocks, we are able to design a system with a larger number of free parameters while keeping the stability. We introduce the condition which obtains the new building block without increasing of the filter order in spite of cascade connection. Additionally, by showing the simulation results, we show that this implementation has a better stopband attenuation than conventional methods.
ER -
English
