Direct Design of Separable Denominator 3-D State-Space Digital Filters

ZHAO Qiangfu; Masayuki KAWAMATA; Tatsuo HIGUCHI

Direct Design of Separable Denominator 3-D State-Space Digital Filters

ZHAO Qiangfu, Masayuki KAWAMATA, Tatsuo HIGUCHI

Full Text Views

0

Cite this

Summary :

This paper studies the design problem of causal, recursive and separable denominator (CRSD) 3-D state-space digital filters. First, a balanced approximation method and a synthesis method of optimal realizations of CRSD 3-D digital filters are proposed by introducing the concept of characteristic filters. Then, a simple equivalent relation between balanced realizations and optimal realizations of CRSD 3-D digital filters is revealed. Using this relation and the balanced approximation method proposed, this paper proposes a spatial-domain direct design method of CRSD 3-D digital filters. This direct design method can perform approximation and synthesis of CRSD 3-D digital filters simultaneously. Further, it can result in stable state-space digital filters which are nealy optimal with respect to roundoff noise, and free of overflow oscillations. Effciency of direct design method is shown by a numerical example.

Publication: IEICE TRANSACTIONS on transactions Vol.E70-E No.4 pp.411-421

Publication Date: 1987/04/25

Publicized

Online ISSN

DOI

Type of Manuscript: PAPER

Category: Circuit Theory

Authors

ZHAO Qiangfu
Masayuki KAWAMATA
Tatsuo HIGUCHI

Keyword

Cite this

Copy

ZHAO Qiangfu, Masayuki KAWAMATA, Tatsuo HIGUCHI, "Direct Design of Separable Denominator 3-D State-Space Digital Filters" in IEICE TRANSACTIONS on transactions, vol. E70-E, no. 4, pp. 411-421, April 1987, doi: .
Abstract: This paper studies the design problem of causal, recursive and separable denominator (CRSD) 3-D state-space digital filters. First, a balanced approximation method and a synthesis method of optimal realizations of CRSD 3-D digital filters are proposed by introducing the concept of characteristic filters. Then, a simple equivalent relation between balanced realizations and optimal realizations of CRSD 3-D digital filters is revealed. Using this relation and the balanced approximation method proposed, this paper proposes a spatial-domain direct design method of CRSD 3-D digital filters. This direct design method can perform approximation and synthesis of CRSD 3-D digital filters simultaneously. Further, it can result in stable state-space digital filters which are nealy optimal with respect to roundoff noise, and free of overflow oscillations. Effciency of direct design method is shown by a numerical example.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e70-e_4_411/_p

Copy

@ARTICLE{e70-e_4_411,
author={ZHAO Qiangfu, Masayuki KAWAMATA, Tatsuo HIGUCHI, },
journal={IEICE TRANSACTIONS on transactions},
title={Direct Design of Separable Denominator 3-D State-Space Digital Filters},
year={1987},
volume={E70-E},
number={4},
pages={411-421},
abstract={This paper studies the design problem of causal, recursive and separable denominator (CRSD) 3-D state-space digital filters. First, a balanced approximation method and a synthesis method of optimal realizations of CRSD 3-D digital filters are proposed by introducing the concept of characteristic filters. Then, a simple equivalent relation between balanced realizations and optimal realizations of CRSD 3-D digital filters is revealed. Using this relation and the balanced approximation method proposed, this paper proposes a spatial-domain direct design method of CRSD 3-D digital filters. This direct design method can perform approximation and synthesis of CRSD 3-D digital filters simultaneously. Further, it can result in stable state-space digital filters which are nealy optimal with respect to roundoff noise, and free of overflow oscillations. Effciency of direct design method is shown by a numerical example.},
keywords={},
doi={},
ISSN={},
month={April},}

Copy

TY - JOUR
TI - Direct Design of Separable Denominator 3-D State-Space Digital Filters
T2 - IEICE TRANSACTIONS on transactions
SP - 411
EP - 421
AU - ZHAO Qiangfu
AU - Masayuki KAWAMATA
AU - Tatsuo HIGUCHI
PY - 1987
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E70-E
IS - 4
JA - IEICE TRANSACTIONS on transactions
Y1 - April 1987
AB - This paper studies the design problem of causal, recursive and separable denominator (CRSD) 3-D state-space digital filters. First, a balanced approximation method and a synthesis method of optimal realizations of CRSD 3-D digital filters are proposed by introducing the concept of characteristic filters. Then, a simple equivalent relation between balanced realizations and optimal realizations of CRSD 3-D digital filters is revealed. Using this relation and the balanced approximation method proposed, this paper proposes a spatial-domain direct design method of CRSD 3-D digital filters. This direct design method can perform approximation and synthesis of CRSD 3-D digital filters simultaneously. Further, it can result in stable state-space digital filters which are nealy optimal with respect to roundoff noise, and free of overflow oscillations. Effciency of direct design method is shown by a numerical example.
ER -