The purpose of this paper is to provide a practical tool for performing a shift operation in orthonormal compactly supported wavelet bases. This translation τ of a discrete sequence, where τ is a real number, is suitable for filter bank implementations. The shift operation in this realization is neither related to the analysis filters nor to the synthesis filters of the filter bank. Simulations were done on the Daubechis wavelets with 12 coefficients and on complex valued wavelets. For the latter ones a real input sequence was used and split up into two subsequences in order to gain computational efficiency.
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Achim GOTTSCHEBER, Akinori NISHIHARA, "Filter Bank Implementation of the Shift Operation in Orthonormal Wavelet Bases" in IEICE TRANSACTIONS on Fundamentals,
vol. E79-A, no. 3, pp. 291-296, March 1996, doi: .
Abstract: The purpose of this paper is to provide a practical tool for performing a shift operation in orthonormal compactly supported wavelet bases. This translation τ of a discrete sequence, where τ is a real number, is suitable for filter bank implementations. The shift operation in this realization is neither related to the analysis filters nor to the synthesis filters of the filter bank. Simulations were done on the Daubechis wavelets with 12 coefficients and on complex valued wavelets. For the latter ones a real input sequence was used and split up into two subsequences in order to gain computational efficiency.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e79-a_3_291/_p
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@ARTICLE{e79-a_3_291,
author={Achim GOTTSCHEBER, Akinori NISHIHARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Filter Bank Implementation of the Shift Operation in Orthonormal Wavelet Bases},
year={1996},
volume={E79-A},
number={3},
pages={291-296},
abstract={The purpose of this paper is to provide a practical tool for performing a shift operation in orthonormal compactly supported wavelet bases. This translation τ of a discrete sequence, where τ is a real number, is suitable for filter bank implementations. The shift operation in this realization is neither related to the analysis filters nor to the synthesis filters of the filter bank. Simulations were done on the Daubechis wavelets with 12 coefficients and on complex valued wavelets. For the latter ones a real input sequence was used and split up into two subsequences in order to gain computational efficiency.},
keywords={},
doi={},
ISSN={},
month={March},}
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TY - JOUR
TI - Filter Bank Implementation of the Shift Operation in Orthonormal Wavelet Bases
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 291
EP - 296
AU - Achim GOTTSCHEBER
AU - Akinori NISHIHARA
PY - 1996
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E79-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 1996
AB - The purpose of this paper is to provide a practical tool for performing a shift operation in orthonormal compactly supported wavelet bases. This translation τ of a discrete sequence, where τ is a real number, is suitable for filter bank implementations. The shift operation in this realization is neither related to the analysis filters nor to the synthesis filters of the filter bank. Simulations were done on the Daubechis wavelets with 12 coefficients and on complex valued wavelets. For the latter ones a real input sequence was used and split up into two subsequences in order to gain computational efficiency.
ER -