The search functionality is under construction.

The search functionality is under construction.

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 *l*_{2}-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.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E103-A No.7 pp.873-884

- Publication Date
- 2020/07/01

- Publicized

- Online ISSN
- 1745-1337

- DOI
- 10.1587/transfun.2019EAP1152

- Type of Manuscript
- PAPER

- Category
- Digital Signal Processing

Takao HINAMOTO

Hiroshima University

Akimitsu DOI

Hiroshima Institute of Technology

Wu-Sheng LU

University of Victoria

The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.

Copy

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 *l*_{2}-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

Copy

@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 *l*_{2}-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},}

Copy

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 *l*_{2}-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 -