The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Berdasarkan konsep pengendali polinomial, makalah ini meneroka struktur bentuk langsung umum II dan realisasi ruang keadaannya untuk penapis digital penyebut dua dimensi tertib (m, n) di mana struktur dengan 3(m+n)+mn+1 parameter tetap ditambah m+n parameter percuma diperkenalkan dan dianalisis. An l2-kaedah penskalaan menggunakan pekali gandingan berbeza pada nod cawangan berbeza untuk mengelakkan limpahan dibentangkan. Ungkapan menilai hingar pusingan untuk struktur penapis serta realisasi keadaan ruangnya diperoleh dan disiasat. Ketersediaan m+n parameter percuma ditunjukkan sebagai berfaedah kerana langkah hingar pusingan boleh diminimumkan berkenaan dengan parameter percuma ini melalui carian menyeluruh ke atas set dengan bilangan elemen calon yang terhad. Peranan penting yang boleh dimainkan oleh parameter ini dalam usaha pengurangan hingar pusingan ditunjukkan oleh eksperimen berangka.
Takao HINAMOTO
Hiroshima University
Akimitsu DOI
Hiroshima Institute of Technology
Wu-Sheng LU
University of Victoria
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Salinan
Takao HINAMOTO, Akimitsu DOI, Wu-Sheng LU, "Analysis and Minimization of Roundoff Noise for Generalized Direct-Form II Realization of 2-D Separable-Denominator Filters" in IEICE TRANSACTIONS on Fundamentals,
vol. E103-A, no. 7, pp. 873-884, July 2020, doi: 10.1587/transfun.2019EAP1152.
Abstract: Based on the concept of polynomial operators, this paper explores generalized direct-form II structure and its state-space realization for two-dimensional separable-denominator digital filters of order (m, n) where a structure with 3(m+n)+mn+1 fixed parameters plus m+n free parameters is introduced and analyzed. An l2-scaling method utilizing different coupling coefficients at different branch nodes to avoid overflow is presented. Expressions of evaluating the roundoff noise for the filter structure as well as its state-space realization are derived and investigated. The availability of the m+n free parameters is shown to be beneficial as the roundoff noise measures can be minimized with respect to these free parameters by means of an exhaustive search over a set with finite number of candidate elements. The important role these parameters can play in the endeavors of roundoff noise reduction is demonstrated by numerical experiments.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2019EAP1152/_p
Salinan
@ARTICLE{e103-a_7_873,
author={Takao HINAMOTO, Akimitsu DOI, Wu-Sheng LU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Analysis and Minimization of Roundoff Noise for Generalized Direct-Form II Realization of 2-D Separable-Denominator Filters},
year={2020},
volume={E103-A},
number={7},
pages={873-884},
abstract={Based on the concept of polynomial operators, this paper explores generalized direct-form II structure and its state-space realization for two-dimensional separable-denominator digital filters of order (m, n) where a structure with 3(m+n)+mn+1 fixed parameters plus m+n free parameters is introduced and analyzed. An l2-scaling method utilizing different coupling coefficients at different branch nodes to avoid overflow is presented. Expressions of evaluating the roundoff noise for the filter structure as well as its state-space realization are derived and investigated. The availability of the m+n free parameters is shown to be beneficial as the roundoff noise measures can be minimized with respect to these free parameters by means of an exhaustive search over a set with finite number of candidate elements. The important role these parameters can play in the endeavors of roundoff noise reduction is demonstrated by numerical experiments.},
keywords={},
doi={10.1587/transfun.2019EAP1152},
ISSN={1745-1337},
month={July},}
Salinan
TY - JOUR
TI - Analysis and Minimization of Roundoff Noise for Generalized Direct-Form II Realization of 2-D Separable-Denominator Filters
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 873
EP - 884
AU - Takao HINAMOTO
AU - Akimitsu DOI
AU - Wu-Sheng LU
PY - 2020
DO - 10.1587/transfun.2019EAP1152
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E103-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2020
AB - Based on the concept of polynomial operators, this paper explores generalized direct-form II structure and its state-space realization for two-dimensional separable-denominator digital filters of order (m, n) where a structure with 3(m+n)+mn+1 fixed parameters plus m+n free parameters is introduced and analyzed. An l2-scaling method utilizing different coupling coefficients at different branch nodes to avoid overflow is presented. Expressions of evaluating the roundoff noise for the filter structure as well as its state-space realization are derived and investigated. The availability of the m+n free parameters is shown to be beneficial as the roundoff noise measures can be minimized with respect to these free parameters by means of an exhaustive search over a set with finite number of candidate elements. The important role these parameters can play in the endeavors of roundoff noise reduction is demonstrated by numerical experiments.
ER -