IEICE TRANSACTIONS on Fundamentals
General Closed-Form Transfer Function Expressions for Fast Filter Bank
Summary :
The existing literature focuses on the applications of fast filter bank due to its excellent frequency responses with low complexity. However, the topic is not addressed related to the general transfer function expressions of the corresponding subfilters for a specific channel. To do this, in this paper, general closed-form transfer function expressions for fast filter bank are derived. Firstly, the cascaded structure of fast filter bank is modelled by a binary tree, with which the index of the subfilter at each stage within the channel can be determined. Then the transfer functions for the two outputs of a subfilter are expressed in a unified form. Finally, the general closed-form transfer functions for the channel and its corresponding subfilters are obtained by variables replacement if the prototype lowpass filters for the stages are given. Analytical results and simulations verify the general expressions. With such closed-form expressions lend themselves easily to analysis and direct computation of the transfer functions and the frequency responses without the structure graph.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E106-A No.10 pp.1354-1357
- Publication Date
- 2023/10/01
- Publicized
- 2023/04/14
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2023EAL2004
- Type of Manuscript
- LETTER
- Category
- Digital Signal Processing
Authors
Jinguang HAO
Ludong University
Gang WANG
Ludong University
Honggang WANG
Ludong University
Lili WANG
Ludong University
Xuefeng LIU
Ludong University
Keyword
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Jinguang HAO, Gang WANG, Honggang WANG, Lili WANG, Xuefeng LIU, "General Closed-Form Transfer Function Expressions for Fast Filter Bank" in IEICE TRANSACTIONS on Fundamentals,
vol. E106-A, no. 10, pp. 1354-1357, October 2023, doi: 10.1587/transfun.2023EAL2004.
Abstract: The existing literature focuses on the applications of fast filter bank due to its excellent frequency responses with low complexity. However, the topic is not addressed related to the general transfer function expressions of the corresponding subfilters for a specific channel. To do this, in this paper, general closed-form transfer function expressions for fast filter bank are derived. Firstly, the cascaded structure of fast filter bank is modelled by a binary tree, with which the index of the subfilter at each stage within the channel can be determined. Then the transfer functions for the two outputs of a subfilter are expressed in a unified form. Finally, the general closed-form transfer functions for the channel and its corresponding subfilters are obtained by variables replacement if the prototype lowpass filters for the stages are given. Analytical results and simulations verify the general expressions. With such closed-form expressions lend themselves easily to analysis and direct computation of the transfer functions and the frequency responses without the structure graph.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2023EAL2004/_p
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@ARTICLE{e106-a_10_1354,
author={Jinguang HAO, Gang WANG, Honggang WANG, Lili WANG, Xuefeng LIU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={General Closed-Form Transfer Function Expressions for Fast Filter Bank},
year={2023},
volume={E106-A},
number={10},
pages={1354-1357},
abstract={The existing literature focuses on the applications of fast filter bank due to its excellent frequency responses with low complexity. However, the topic is not addressed related to the general transfer function expressions of the corresponding subfilters for a specific channel. To do this, in this paper, general closed-form transfer function expressions for fast filter bank are derived. Firstly, the cascaded structure of fast filter bank is modelled by a binary tree, with which the index of the subfilter at each stage within the channel can be determined. Then the transfer functions for the two outputs of a subfilter are expressed in a unified form. Finally, the general closed-form transfer functions for the channel and its corresponding subfilters are obtained by variables replacement if the prototype lowpass filters for the stages are given. Analytical results and simulations verify the general expressions. With such closed-form expressions lend themselves easily to analysis and direct computation of the transfer functions and the frequency responses without the structure graph.},
keywords={},
doi={10.1587/transfun.2023EAL2004},
ISSN={1745-1337},
month={October},}
Copy
TY - JOUR
TI - General Closed-Form Transfer Function Expressions for Fast Filter Bank
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1354
EP - 1357
AU - Jinguang HAO
AU - Gang WANG
AU - Honggang WANG
AU - Lili WANG
AU - Xuefeng LIU
PY - 2023
DO - 10.1587/transfun.2023EAL2004
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E106-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2023
AB - The existing literature focuses on the applications of fast filter bank due to its excellent frequency responses with low complexity. However, the topic is not addressed related to the general transfer function expressions of the corresponding subfilters for a specific channel. To do this, in this paper, general closed-form transfer function expressions for fast filter bank are derived. Firstly, the cascaded structure of fast filter bank is modelled by a binary tree, with which the index of the subfilter at each stage within the channel can be determined. Then the transfer functions for the two outputs of a subfilter are expressed in a unified form. Finally, the general closed-form transfer functions for the channel and its corresponding subfilters are obtained by variables replacement if the prototype lowpass filters for the stages are given. Analytical results and simulations verify the general expressions. With such closed-form expressions lend themselves easily to analysis and direct computation of the transfer functions and the frequency responses without the structure graph.
ER -
English
