IEICE TRANSACTIONS on transactions
A Discrete Optimization Method for High-Order FIR Filters with Finite Wordlength Coefficients
Summary :
This paper proposes a new discrte optimization method which is mainly directed toward saving computing time for high-order FIR filters. In the proposed method, a transfer function is first approximated in a cascade form of a low-order function W(z) with pre-rounded coefficients and a high-order function F(z) with infinite precision coefficients. Second, rounded F(z) coefficients are discretely optimized so as to minimize the mean square error of the amplitude response. In other words, the roundoff error spectrum is shaped so as to be suppressed by a weighting function W(z). In order to save computing time, the error is equivalently evaluated in a time domain, and the F(z) coefficients are divided into small groups in the discrete optimization procedure. Design examples for 200 tap FIR filters demonstrate practical usefullness.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E70-E No.8 pp.735-743
- Publication Date
- 1987/08/25
- Publicized
- Online ISSN
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- Type of Manuscript
- PAPER
- Category
- Digital Signal Processing
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Kenji NAKAYAMA, "A Discrete Optimization Method for High-Order FIR Filters with Finite Wordlength Coefficients" in IEICE TRANSACTIONS on transactions,
vol. E70-E, no. 8, pp. 735-743, August 1987, doi: .
Abstract: This paper proposes a new discrte optimization method which is mainly directed toward saving computing time for high-order FIR filters. In the proposed method, a transfer function is first approximated in a cascade form of a low-order function W(z) with pre-rounded coefficients and a high-order function F(z) with infinite precision coefficients. Second, rounded F(z) coefficients are discretely optimized so as to minimize the mean square error of the amplitude response. In other words, the roundoff error spectrum is shaped so as to be suppressed by a weighting function W(z). In order to save computing time, the error is equivalently evaluated in a time domain, and the F(z) coefficients are divided into small groups in the discrete optimization procedure. Design examples for 200 tap FIR filters demonstrate practical usefullness.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e70-e_8_735/_p
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@ARTICLE{e70-e_8_735,
author={Kenji NAKAYAMA, },
journal={IEICE TRANSACTIONS on transactions},
title={A Discrete Optimization Method for High-Order FIR Filters with Finite Wordlength Coefficients},
year={1987},
volume={E70-E},
number={8},
pages={735-743},
abstract={This paper proposes a new discrte optimization method which is mainly directed toward saving computing time for high-order FIR filters. In the proposed method, a transfer function is first approximated in a cascade form of a low-order function W(z) with pre-rounded coefficients and a high-order function F(z) with infinite precision coefficients. Second, rounded F(z) coefficients are discretely optimized so as to minimize the mean square error of the amplitude response. In other words, the roundoff error spectrum is shaped so as to be suppressed by a weighting function W(z). In order to save computing time, the error is equivalently evaluated in a time domain, and the F(z) coefficients are divided into small groups in the discrete optimization procedure. Design examples for 200 tap FIR filters demonstrate practical usefullness.},
keywords={},
doi={},
ISSN={},
month={August},}
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TY - JOUR
TI - A Discrete Optimization Method for High-Order FIR Filters with Finite Wordlength Coefficients
T2 - IEICE TRANSACTIONS on transactions
SP - 735
EP - 743
AU - Kenji NAKAYAMA
PY - 1987
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E70-E
IS - 8
JA - IEICE TRANSACTIONS on transactions
Y1 - August 1987
AB - This paper proposes a new discrte optimization method which is mainly directed toward saving computing time for high-order FIR filters. In the proposed method, a transfer function is first approximated in a cascade form of a low-order function W(z) with pre-rounded coefficients and a high-order function F(z) with infinite precision coefficients. Second, rounded F(z) coefficients are discretely optimized so as to minimize the mean square error of the amplitude response. In other words, the roundoff error spectrum is shaped so as to be suppressed by a weighting function W(z). In order to save computing time, the error is equivalently evaluated in a time domain, and the F(z) coefficients are divided into small groups in the discrete optimization procedure. Design examples for 200 tap FIR filters demonstrate practical usefullness.
ER -
English
