IEICE TRANSACTIONS on Fundamentals
Iterative Optimal Design for Fast Filter Bank with Low Complexity
Summary :
In this paper, an iterative optimal method is proposed to design the prototype filters for a fast filter bank (FFB) with low complexity, aiming to control the optimum ripple magnitude tolerance of each filter according to the overall specifications. This problem is formulated as an optimization problem for which the total number of multiplications is to be minimized subject to the constrained ripple in the passband and stopband. In the following, an iterative solution is proposed to solve this optimization problem for the purpose of obtaining the impulse response coefficients with low complexity at each stage. Simulations are conducted to verify the performance of the proposed scheme and show that compared with the original method, the proposed scheme can reduce about 24.24% of multiplications. In addition, the proposed scheme and the original method provide similar mean square error (MSE) and the mean absolute error (MAE) of the frequency response.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E99-A No.2 pp.639-642
- Publication Date
- 2016/02/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E99.A.639
- Type of Manuscript
- LETTER
- Category
- Digital Signal Processing
Authors
Jinguang HAO
Ludong University,Southeast University
Wenjiang PEI
Southeast University
Kai WANG
Southeast University
Yili XIA
Southeast University
Cunlai PU
Nanjing University of Science and Technology
Keyword
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Jinguang HAO, Wenjiang PEI, Kai WANG, Yili XIA, Cunlai PU, "Iterative Optimal Design for Fast Filter Bank with Low Complexity" in IEICE TRANSACTIONS on Fundamentals,
vol. E99-A, no. 2, pp. 639-642, February 2016, doi: 10.1587/transfun.E99.A.639.
Abstract: In this paper, an iterative optimal method is proposed to design the prototype filters for a fast filter bank (FFB) with low complexity, aiming to control the optimum ripple magnitude tolerance of each filter according to the overall specifications. This problem is formulated as an optimization problem for which the total number of multiplications is to be minimized subject to the constrained ripple in the passband and stopband. In the following, an iterative solution is proposed to solve this optimization problem for the purpose of obtaining the impulse response coefficients with low complexity at each stage. Simulations are conducted to verify the performance of the proposed scheme and show that compared with the original method, the proposed scheme can reduce about 24.24% of multiplications. In addition, the proposed scheme and the original method provide similar mean square error (MSE) and the mean absolute error (MAE) of the frequency response.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E99.A.639/_p
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@ARTICLE{e99-a_2_639,
author={Jinguang HAO, Wenjiang PEI, Kai WANG, Yili XIA, Cunlai PU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Iterative Optimal Design for Fast Filter Bank with Low Complexity},
year={2016},
volume={E99-A},
number={2},
pages={639-642},
abstract={In this paper, an iterative optimal method is proposed to design the prototype filters for a fast filter bank (FFB) with low complexity, aiming to control the optimum ripple magnitude tolerance of each filter according to the overall specifications. This problem is formulated as an optimization problem for which the total number of multiplications is to be minimized subject to the constrained ripple in the passband and stopband. In the following, an iterative solution is proposed to solve this optimization problem for the purpose of obtaining the impulse response coefficients with low complexity at each stage. Simulations are conducted to verify the performance of the proposed scheme and show that compared with the original method, the proposed scheme can reduce about 24.24% of multiplications. In addition, the proposed scheme and the original method provide similar mean square error (MSE) and the mean absolute error (MAE) of the frequency response.},
keywords={},
doi={10.1587/transfun.E99.A.639},
ISSN={1745-1337},
month={February},}
Copy
TY - JOUR
TI - Iterative Optimal Design for Fast Filter Bank with Low Complexity
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 639
EP - 642
AU - Jinguang HAO
AU - Wenjiang PEI
AU - Kai WANG
AU - Yili XIA
AU - Cunlai PU
PY - 2016
DO - 10.1587/transfun.E99.A.639
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E99-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2016
AB - In this paper, an iterative optimal method is proposed to design the prototype filters for a fast filter bank (FFB) with low complexity, aiming to control the optimum ripple magnitude tolerance of each filter according to the overall specifications. This problem is formulated as an optimization problem for which the total number of multiplications is to be minimized subject to the constrained ripple in the passband and stopband. In the following, an iterative solution is proposed to solve this optimization problem for the purpose of obtaining the impulse response coefficients with low complexity at each stage. Simulations are conducted to verify the performance of the proposed scheme and show that compared with the original method, the proposed scheme can reduce about 24.24% of multiplications. In addition, the proposed scheme and the original method provide similar mean square error (MSE) and the mean absolute error (MAE) of the frequency response.
ER -
English
