Based on the cyclotomic polynomials, this paper describes a family of efficient and practical interpolators for interpolated FIR filters. The family can be applied to bandpass filters as well as lowpass/highpass filters without any multiplications. It also mitigates the inconvenience to select a practical interpolation factor, and gains a further saving in computational complexity required. Several examples are given to demonstrate the effectiveness for reducing the computational complexity required.
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Hisakazu KIKUCHI, Yoshito ABE, Hiromichi WATANABE, Takeshi YANAGISAWA, "Interpolated FIR Filters Based on the Cyclotomic Polynomials" in IEICE TRANSACTIONS on transactions,
vol. E70-E, no. 10, pp. 928-937, October 1987, doi: .
Abstract: Based on the cyclotomic polynomials, this paper describes a family of efficient and practical interpolators for interpolated FIR filters. The family can be applied to bandpass filters as well as lowpass/highpass filters without any multiplications. It also mitigates the inconvenience to select a practical interpolation factor, and gains a further saving in computational complexity required. Several examples are given to demonstrate the effectiveness for reducing the computational complexity required.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e70-e_10_928/_p
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@ARTICLE{e70-e_10_928,
author={Hisakazu KIKUCHI, Yoshito ABE, Hiromichi WATANABE, Takeshi YANAGISAWA, },
journal={IEICE TRANSACTIONS on transactions},
title={Interpolated FIR Filters Based on the Cyclotomic Polynomials},
year={1987},
volume={E70-E},
number={10},
pages={928-937},
abstract={Based on the cyclotomic polynomials, this paper describes a family of efficient and practical interpolators for interpolated FIR filters. The family can be applied to bandpass filters as well as lowpass/highpass filters without any multiplications. It also mitigates the inconvenience to select a practical interpolation factor, and gains a further saving in computational complexity required. Several examples are given to demonstrate the effectiveness for reducing the computational complexity required.},
keywords={},
doi={},
ISSN={},
month={October},}
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TY - JOUR
TI - Interpolated FIR Filters Based on the Cyclotomic Polynomials
T2 - IEICE TRANSACTIONS on transactions
SP - 928
EP - 937
AU - Hisakazu KIKUCHI
AU - Yoshito ABE
AU - Hiromichi WATANABE
AU - Takeshi YANAGISAWA
PY - 1987
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E70-E
IS - 10
JA - IEICE TRANSACTIONS on transactions
Y1 - October 1987
AB - Based on the cyclotomic polynomials, this paper describes a family of efficient and practical interpolators for interpolated FIR filters. The family can be applied to bandpass filters as well as lowpass/highpass filters without any multiplications. It also mitigates the inconvenience to select a practical interpolation factor, and gains a further saving in computational complexity required. Several examples are given to demonstrate the effectiveness for reducing the computational complexity required.
ER -