Linear Phase FIR Digital Filters with Cyclotomic Resonators

Hisakazu KIKUCHI; Hiromichi WATANABE; Takeshi YANAGISAWA

Linear Phase FIR Digital Filters with Cyclotomic Resonators

Hisakazu KIKUCHI, Hiromichi WATANABE, Takeshi YANAGISAWA

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This paper describes a design method of linear phase recursive FIR digital filters. The basic structure consists of a transversal part cascaded with a cyclotomic resonator, which is characterized by cycotomic polynomials and has no multipliers. The digital filters implemented by this method require the short wordlength both for multiplier coefficients and for signals in their transversal part. By introducing integer arithmetic, the filtering operation proceeds fast and exactly. As a bonus, it is possible to employ a multiplier-less implementation in most practical applications. While the stability of this type of structure requires an integer-valued impulse response, a satisfactory procedure assures the requirement. A parameter to control the approximation error is found somewhat predictively rather than tentatively.

Publication: IEICE TRANSACTIONS on transactions Vol.E70-E No.1 pp.24-32

Publication Date: 1987/01/25

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Type of Manuscript: PAPER

Category: Circuit Theory

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Hisakazu KIKUCHI
Hiromichi WATANABE
Takeshi YANAGISAWA

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Hisakazu KIKUCHI, Hiromichi WATANABE, Takeshi YANAGISAWA, "Linear Phase FIR Digital Filters with Cyclotomic Resonators" in IEICE TRANSACTIONS on transactions, vol. E70-E, no. 1, pp. 24-32, January 1987, doi: .
Abstract: This paper describes a design method of linear phase recursive FIR digital filters. The basic structure consists of a transversal part cascaded with a cyclotomic resonator, which is characterized by cycotomic polynomials and has no multipliers. The digital filters implemented by this method require the short wordlength both for multiplier coefficients and for signals in their transversal part. By introducing integer arithmetic, the filtering operation proceeds fast and exactly. As a bonus, it is possible to employ a multiplier-less implementation in most practical applications. While the stability of this type of structure requires an integer-valued impulse response, a satisfactory procedure assures the requirement. A parameter to control the approximation error is found somewhat predictively rather than tentatively.
URL: https://globals.ieice.org/en_transactions/transactions/10.1587/e70-e_1_24/_p

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@ARTICLE{e70-e_1_24,
author={Hisakazu KIKUCHI, Hiromichi WATANABE, Takeshi YANAGISAWA, },
journal={IEICE TRANSACTIONS on transactions},
title={Linear Phase FIR Digital Filters with Cyclotomic Resonators},
year={1987},
volume={E70-E},
number={1},
pages={24-32},
abstract={This paper describes a design method of linear phase recursive FIR digital filters. The basic structure consists of a transversal part cascaded with a cyclotomic resonator, which is characterized by cycotomic polynomials and has no multipliers. The digital filters implemented by this method require the short wordlength both for multiplier coefficients and for signals in their transversal part. By introducing integer arithmetic, the filtering operation proceeds fast and exactly. As a bonus, it is possible to employ a multiplier-less implementation in most practical applications. While the stability of this type of structure requires an integer-valued impulse response, a satisfactory procedure assures the requirement. A parameter to control the approximation error is found somewhat predictively rather than tentatively.},
keywords={},
doi={},
ISSN={},
month={January},}

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TY - JOUR
TI - Linear Phase FIR Digital Filters with Cyclotomic Resonators
T2 - IEICE TRANSACTIONS on transactions
SP - 24
EP - 32
AU - Hisakazu KIKUCHI
AU - Hiromichi WATANABE
AU - Takeshi YANAGISAWA
PY - 1987
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E70-E
IS - 1
JA - IEICE TRANSACTIONS on transactions
Y1 - January 1987
AB - This paper describes a design method of linear phase recursive FIR digital filters. The basic structure consists of a transversal part cascaded with a cyclotomic resonator, which is characterized by cycotomic polynomials and has no multipliers. The digital filters implemented by this method require the short wordlength both for multiplier coefficients and for signals in their transversal part. By introducing integer arithmetic, the filtering operation proceeds fast and exactly. As a bonus, it is possible to employ a multiplier-less implementation in most practical applications. While the stability of this type of structure requires an integer-valued impulse response, a satisfactory procedure assures the requirement. A parameter to control the approximation error is found somewhat predictively rather than tentatively.
ER -