Systematic Derivation of Input-Output Relation for 2-D Periodically Time-Variant Digital Filters with an Arbitrary Periodicity
Summary :
The authors have proposed a design method for two-dimensional (2-D) separable-denominator (SD) periodically time-variant digital filters (PTV DFs) and confirmed their superiority over 2-D time-invariant DFs. In that result, the periodicity matrix representing the periodicity of the varying filter coefficients is, however, restricted to two cases. This paper extends that idea so that the input-output relation of 2-D SD PTV DFs with an arbitrary periodicity matrix can be determined. This enables us to design wide range of 2-D PTV DFs.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E81-A No.8 pp.1699-1702
- Publication Date
- 1998/08/25
- Publicized
- Online ISSN
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- Type of Manuscript
- Special Section LETTER (Special Section on Digital Signal Processing)
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Toshiyuki YOSHIDA, Yoshinori SAKAI, "Systematic Derivation of Input-Output Relation for 2-D Periodically Time-Variant Digital Filters with an Arbitrary Periodicity" in IEICE TRANSACTIONS on Fundamentals,
vol. E81-A, no. 8, pp. 1699-1702, August 1998, doi: .
Abstract: The authors have proposed a design method for two-dimensional (2-D) separable-denominator (SD) periodically time-variant digital filters (PTV DFs) and confirmed their superiority over 2-D time-invariant DFs. In that result, the periodicity matrix representing the periodicity of the varying filter coefficients is, however, restricted to two cases. This paper extends that idea so that the input-output relation of 2-D SD PTV DFs with an arbitrary periodicity matrix can be determined. This enables us to design wide range of 2-D PTV DFs.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e81-a_8_1699/_p
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@ARTICLE{e81-a_8_1699,
author={Toshiyuki YOSHIDA, Yoshinori SAKAI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Systematic Derivation of Input-Output Relation for 2-D Periodically Time-Variant Digital Filters with an Arbitrary Periodicity},
year={1998},
volume={E81-A},
number={8},
pages={1699-1702},
abstract={The authors have proposed a design method for two-dimensional (2-D) separable-denominator (SD) periodically time-variant digital filters (PTV DFs) and confirmed their superiority over 2-D time-invariant DFs. In that result, the periodicity matrix representing the periodicity of the varying filter coefficients is, however, restricted to two cases. This paper extends that idea so that the input-output relation of 2-D SD PTV DFs with an arbitrary periodicity matrix can be determined. This enables us to design wide range of 2-D PTV DFs.},
keywords={},
doi={},
ISSN={},
month={August},}
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TY - JOUR
TI - Systematic Derivation of Input-Output Relation for 2-D Periodically Time-Variant Digital Filters with an Arbitrary Periodicity
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1699
EP - 1702
AU - Toshiyuki YOSHIDA
AU - Yoshinori SAKAI
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E81-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 1998
AB - The authors have proposed a design method for two-dimensional (2-D) separable-denominator (SD) periodically time-variant digital filters (PTV DFs) and confirmed their superiority over 2-D time-invariant DFs. In that result, the periodicity matrix representing the periodicity of the varying filter coefficients is, however, restricted to two cases. This paper extends that idea so that the input-output relation of 2-D SD PTV DFs with an arbitrary periodicity matrix can be determined. This enables us to design wide range of 2-D PTV DFs.
ER -
English
