FIR digital filters composed of parallel multiple subfilters are proposed. A binary expression of an input signal is decomposed into multiple shorter words, which drive the subfilters having different length. The output error is evaluated by mean squared and maximum spectra. A fast algorithm is also proposed to determine optimal filter lengths and coefficients of subfilters. Many examples confirm that the proposed filters generate smaller output errors than conventional filters under the condition of specified number of multiplications and additions in filter operations. Further, multiplier and adder structures (MAS) to perform the operations of the proposed filters are also presented. The number of gates used in the proposed MAS and its critical path are estimated. The effectiveness of the proposed MAS is confirmed.
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Mitsuhiko YAGYU, Akinori NISHIHARA, Nobuo FUJII, "Minimization of Output Errors of FIR Digital Filters by Multiple Decompositions of Signal Word" in IEICE TRANSACTIONS on Fundamentals,
vol. E81-A, no. 3, pp. 407-419, March 1998, doi: .
Abstract: FIR digital filters composed of parallel multiple subfilters are proposed. A binary expression of an input signal is decomposed into multiple shorter words, which drive the subfilters having different length. The output error is evaluated by mean squared and maximum spectra. A fast algorithm is also proposed to determine optimal filter lengths and coefficients of subfilters. Many examples confirm that the proposed filters generate smaller output errors than conventional filters under the condition of specified number of multiplications and additions in filter operations. Further, multiplier and adder structures (MAS) to perform the operations of the proposed filters are also presented. The number of gates used in the proposed MAS and its critical path are estimated. The effectiveness of the proposed MAS is confirmed.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e81-a_3_407/_p
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@ARTICLE{e81-a_3_407,
author={Mitsuhiko YAGYU, Akinori NISHIHARA, Nobuo FUJII, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Minimization of Output Errors of FIR Digital Filters by Multiple Decompositions of Signal Word},
year={1998},
volume={E81-A},
number={3},
pages={407-419},
abstract={FIR digital filters composed of parallel multiple subfilters are proposed. A binary expression of an input signal is decomposed into multiple shorter words, which drive the subfilters having different length. The output error is evaluated by mean squared and maximum spectra. A fast algorithm is also proposed to determine optimal filter lengths and coefficients of subfilters. Many examples confirm that the proposed filters generate smaller output errors than conventional filters under the condition of specified number of multiplications and additions in filter operations. Further, multiplier and adder structures (MAS) to perform the operations of the proposed filters are also presented. The number of gates used in the proposed MAS and its critical path are estimated. The effectiveness of the proposed MAS is confirmed.},
keywords={},
doi={},
ISSN={},
month={March},}
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TY - JOUR
TI - Minimization of Output Errors of FIR Digital Filters by Multiple Decompositions of Signal Word
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 407
EP - 419
AU - Mitsuhiko YAGYU
AU - Akinori NISHIHARA
AU - Nobuo FUJII
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E81-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 1998
AB - FIR digital filters composed of parallel multiple subfilters are proposed. A binary expression of an input signal is decomposed into multiple shorter words, which drive the subfilters having different length. The output error is evaluated by mean squared and maximum spectra. A fast algorithm is also proposed to determine optimal filter lengths and coefficients of subfilters. Many examples confirm that the proposed filters generate smaller output errors than conventional filters under the condition of specified number of multiplications and additions in filter operations. Further, multiplier and adder structures (MAS) to perform the operations of the proposed filters are also presented. The number of gates used in the proposed MAS and its critical path are estimated. The effectiveness of the proposed MAS is confirmed.
ER -