Multidimensional Multirate Filter and Filter Bank without Checkerboard Effect

Yasuhiro HARADA; Shogo MURAMATSU; Hitoshi KIYA

Multidimensional Multirate Filter and Filter Bank without Checkerboard Effect

Yasuhiro HARADA, Shogo MURAMATSU, Hitoshi KIYA

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The checkerboard effect is caused by the periodic time-variant property of multirate filters which consist of up-samplers and digital filters. Although the conditions for some one-dimensional (1D) multirate systems to avoid the checkerboard effect have been shown, the conditions for Multidimensional (MD) multirate systems have not been considered. In this paper, some theorems about the conditions for MD multirate filters without checkerboard effect are derived. In addition, we also consider MD multirate filter banks without checkerboard effect. Simulation examples show that the checkerboard effect can be avoided by using the proposed conditions.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E81-A No.8 pp.1607-1615

Publication Date: 1998/08/25

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Type of Manuscript: Special Section PAPER (Special Section on Digital Signal Processing)

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Yasuhiro HARADA, Shogo MURAMATSU, Hitoshi KIYA, "Multidimensional Multirate Filter and Filter Bank without Checkerboard Effect" in IEICE TRANSACTIONS on Fundamentals, vol. E81-A, no. 8, pp. 1607-1615, August 1998, doi: .
Abstract: The checkerboard effect is caused by the periodic time-variant property of multirate filters which consist of up-samplers and digital filters. Although the conditions for some one-dimensional (1D) multirate systems to avoid the checkerboard effect have been shown, the conditions for Multidimensional (MD) multirate systems have not been considered. In this paper, some theorems about the conditions for MD multirate filters without checkerboard effect are derived. In addition, we also consider MD multirate filter banks without checkerboard effect. Simulation examples show that the checkerboard effect can be avoided by using the proposed conditions.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e81-a_8_1607/_p

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@ARTICLE{e81-a_8_1607,
author={Yasuhiro HARADA, Shogo MURAMATSU, Hitoshi KIYA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Multidimensional Multirate Filter and Filter Bank without Checkerboard Effect},
year={1998},
volume={E81-A},
number={8},
pages={1607-1615},
abstract={The checkerboard effect is caused by the periodic time-variant property of multirate filters which consist of up-samplers and digital filters. Although the conditions for some one-dimensional (1D) multirate systems to avoid the checkerboard effect have been shown, the conditions for Multidimensional (MD) multirate systems have not been considered. In this paper, some theorems about the conditions for MD multirate filters without checkerboard effect are derived. In addition, we also consider MD multirate filter banks without checkerboard effect. Simulation examples show that the checkerboard effect can be avoided by using the proposed conditions.},
keywords={},
doi={},
ISSN={},
month={August},}

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TY - JOUR
TI - Multidimensional Multirate Filter and Filter Bank without Checkerboard Effect
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1607
EP - 1615
AU - Yasuhiro HARADA
AU - Shogo MURAMATSU
AU - Hitoshi KIYA
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E81-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 1998
AB - The checkerboard effect is caused by the periodic time-variant property of multirate filters which consist of up-samplers and digital filters. Although the conditions for some one-dimensional (1D) multirate systems to avoid the checkerboard effect have been shown, the conditions for Multidimensional (MD) multirate systems have not been considered. In this paper, some theorems about the conditions for MD multirate filters without checkerboard effect are derived. In addition, we also consider MD multirate filter banks without checkerboard effect. Simulation examples show that the checkerboard effect can be avoided by using the proposed conditions.
ER -