TY - JOUR

T1 - Smooth extension for nonexpansive wavelet decomposition of finite length signals

AU - Uto, Toshiyuki

AU - Ikehara, Masaaki

PY - 2004/12/1

Y1 - 2004/12/1

N2 - In transform-based image coding, the periodic extension has the disadvantage that it might introduce high frequency components due to the artificial discontinuities at the signal boundaries. On the other hand, the symmetric extension can't be applied to the two-channel orthogonal filter bank because linear phase is not possible. This paper describes a smooth extension method, which provides the symmetric decimated outputs of the analysis filters at the boundary, for the two-channel orthogonal filter bank to obtain nonexpansive subband signals. Then, extended signal has the flexibility under the nonexpansive condition. Therefore we can calculate the smooth extended signal by singular value decomposition. Finally, several image coding and extended signal examples are shown to confirm the validity of the proposed approach.

AB - In transform-based image coding, the periodic extension has the disadvantage that it might introduce high frequency components due to the artificial discontinuities at the signal boundaries. On the other hand, the symmetric extension can't be applied to the two-channel orthogonal filter bank because linear phase is not possible. This paper describes a smooth extension method, which provides the symmetric decimated outputs of the analysis filters at the boundary, for the two-channel orthogonal filter bank to obtain nonexpansive subband signals. Then, extended signal has the flexibility under the nonexpansive condition. Therefore we can calculate the smooth extended signal by singular value decomposition. Finally, several image coding and extended signal examples are shown to confirm the validity of the proposed approach.

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M3 - Conference article

AN - SCOPUS:11144316880

VL - 2

SP - II121-II124

JO - Midwest Symposium on Circuits and Systems

JF - Midwest Symposium on Circuits and Systems

SN - 1548-3746

T2 - The 2004 47th Midwest Symposium on Circuits and Systems - Conference Proceedings

Y2 - 25 July 2004 through 28 July 2004

ER -