Analysis and Minimization of Output Errors of 2-D Non-separable FIR Digital Filters with Finite Precision Internal Signals
Summary :
This paper presents a method to analyze and minimize output errors of 2-D non-separable FIR filters with finite wordlength. Finiteness in the wordlength causes output errors, which can be analyzed in the frequency domain when the statistics of input signals are known. The output errors can be minimized by optimizing responses corresponding to all levels of input impulses. A new ROM-based filter structure is proposed in which the optimized impulse responses are stored in the ROM. The output signals are generated by superposing the impulse responses corresponding to the input levels. Many simulation results confirm that the output signals of the proposed filters have far less errors compared to conventional filters. The hardware size of the ROM-based filters is estimated and compared with that of conventional structures. The proposed structures are more effective than the conventional ones especially when the signal wordlength is short.
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- IEICE TRANSACTIONS on Fundamentals Vol.E80-A No.8 pp.1391-1402
- Publication Date
- 1997/08/25
- Publicized
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- Type of Manuscript
- Special Section PAPER (Special Section on Digital Signal Processing)
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Mitsuhiko YAGYU, Akinori NISHIHARA, Nobuo FUJII, "Analysis and Minimization of Output Errors of 2-D Non-separable FIR Digital Filters with Finite Precision Internal Signals" in IEICE TRANSACTIONS on Fundamentals,
vol. E80-A, no. 8, pp. 1391-1402, August 1997, doi: .
Abstract: This paper presents a method to analyze and minimize output errors of 2-D non-separable FIR filters with finite wordlength. Finiteness in the wordlength causes output errors, which can be analyzed in the frequency domain when the statistics of input signals are known. The output errors can be minimized by optimizing responses corresponding to all levels of input impulses. A new ROM-based filter structure is proposed in which the optimized impulse responses are stored in the ROM. The output signals are generated by superposing the impulse responses corresponding to the input levels. Many simulation results confirm that the output signals of the proposed filters have far less errors compared to conventional filters. The hardware size of the ROM-based filters is estimated and compared with that of conventional structures. The proposed structures are more effective than the conventional ones especially when the signal wordlength is short.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e80-a_8_1391/_p
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@ARTICLE{e80-a_8_1391,
author={Mitsuhiko YAGYU, Akinori NISHIHARA, Nobuo FUJII, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Analysis and Minimization of Output Errors of 2-D Non-separable FIR Digital Filters with Finite Precision Internal Signals},
year={1997},
volume={E80-A},
number={8},
pages={1391-1402},
abstract={This paper presents a method to analyze and minimize output errors of 2-D non-separable FIR filters with finite wordlength. Finiteness in the wordlength causes output errors, which can be analyzed in the frequency domain when the statistics of input signals are known. The output errors can be minimized by optimizing responses corresponding to all levels of input impulses. A new ROM-based filter structure is proposed in which the optimized impulse responses are stored in the ROM. The output signals are generated by superposing the impulse responses corresponding to the input levels. Many simulation results confirm that the output signals of the proposed filters have far less errors compared to conventional filters. The hardware size of the ROM-based filters is estimated and compared with that of conventional structures. The proposed structures are more effective than the conventional ones especially when the signal wordlength is short.},
keywords={},
doi={},
ISSN={},
month={August},}
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TY - JOUR
TI - Analysis and Minimization of Output Errors of 2-D Non-separable FIR Digital Filters with Finite Precision Internal Signals
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1391
EP - 1402
AU - Mitsuhiko YAGYU
AU - Akinori NISHIHARA
AU - Nobuo FUJII
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E80-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 1997
AB - This paper presents a method to analyze and minimize output errors of 2-D non-separable FIR filters with finite wordlength. Finiteness in the wordlength causes output errors, which can be analyzed in the frequency domain when the statistics of input signals are known. The output errors can be minimized by optimizing responses corresponding to all levels of input impulses. A new ROM-based filter structure is proposed in which the optimized impulse responses are stored in the ROM. The output signals are generated by superposing the impulse responses corresponding to the input levels. Many simulation results confirm that the output signals of the proposed filters have far less errors compared to conventional filters. The hardware size of the ROM-based filters is estimated and compared with that of conventional structures. The proposed structures are more effective than the conventional ones especially when the signal wordlength is short.
ER -
English
