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Journal Article

Almost Perfect Reconstruction Filter Bank for Non-redundant, Approximately Shift-Invariant, Complex Wavelet Transforms

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Hosseini, R., & Vafadust, M. (2008). Almost Perfect Reconstruction Filter Bank for Non-redundant, Approximately Shift-Invariant, Complex Wavelet Transforms. Journal of Wavelet Theory and Applications, 2(1), 1-14.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-C64F-7
Abstract
This paper presents a new filter bank design technique which leads to the shift invariant representation of signals. The proposed wavelet transform due to the specific power spectrum of its filters has oriented filters in higher dimensions. Unlike previous approaches, its filters do not have serious distributed bumps in the wrong side of the power spectrum and, simultaneously, they do not introduce any redundancy to the original signal. The proposed filter bank has linear phase filters and high vanishing moment property. The simulation results show promising properties of the proposed filter bank that can be exploited in different signal processing applications.