| H. Guo, "Theory and Application of The Shift-Invariant, TimeVarying and Undecimated Wavelet Transform," Master's thesis, Rice University, 1995. |
....tile associated with a shifted version of the signal is not a shifted version of the best tile associated with the original signal. Two promising extensions involve shift invariant critical representations [8] and non dyadic arbitrary segmentations [9] as well as a hybrid combination of these [10]. While our studies in this paper are confined to the TFT tilings, extensions within the critical (non oversampled) representation framework appear promising and will be investigated in future work. 3. BEST BASIS SELECTION A number of factors influence the best basis selection of a wavelet ....
H. Guo, "Theory and applications of the shiftinvariant, time-varying, and undecimated wavelet transform," Master's Thesis, Rice University, Houston, TX, May 1995.
....the DWT implementation [4] Shift sensitivity is an undesirable property because it implies that DWT coefficients fail to distinguish between input signal shifts. Since downsamplers in the DWT implementation create shift sensitivity, Mallat [11] Beylkin [12] Coifman et al. 13] and Guo et al.[14], 15] devised the undecimated DWT, a wavelet trans form without downsamplers. Although the undecimated DWT is shift insensitive, it has high transform redundancy due to the absence of downsamplers. Unfortunately, the high transform redundancy incurs a massive storage requirement that makes the ....
H. Guo, "Theory and applications of the shift-invariant, time-varying and undecimated wavelet transform," M.S. thesis, Rice University, Houston, TX, May 1995.
.... TF tree flexible tree O(Nd) O(Nd 2 ) O(N2 d ) O(NM 2 d) We want to point out that the above computational complexity can be further reduced in real implementation by exploiting the redundancies between the wavelet coefficients of the segmented signal and those of the unsegmented signal [88]. All that is needed is an update of the wavelet coefficients at segmentation boundaries. Unfortunately, no closed form formula can be derived for this case, which requires complicated bookkeeping. For comparison with the single tree algorithm and the double tree algorithm [19, 20, 45] we list ....
H. Guo, "Theory and applications of the shift-invariant, time-varying and undecimated wavelet transform," M.S. thesis, Rice University, Houston, TX, May 1995.
....segmentation tree algorithm is O(NM 2 d) Proof: See Appendix 2. We want to point out that the above computational complexity can be further reduced in real implementation by exploiting the redundancies between the wavelet coefficients of the segmented signal and those of the unsegmented signal [29]. All that is needed is to update the wavelet coefficients at segmentation boundaries. Unfortunately, no close form formula can be derived for this case, which requires complicated bookkeeping. For comparison with the single tree algorithm and the double tree algorithm [14, 13, 19] we list the ....
H. Guo, "Theory and Applications of the Shift-invariant, Time-varying and Undecimated Wavelet Transform", Master's thesis, Rice University, Houston, TX, May 1995.
....tile associated with a shifted version of the signal is not a shifted version of the best tile associated with the original signal. Two promising extensions involve shift invariant critical representations [8] and non dyadic arbitrary segmentations [9] as well as a hybrid combination of these [10]. While our studies in this paper are confined to the TFT tilings, extensions within the critical (non oversampled) representation framework appear promising and will be investigated in future work. 3. BEST BASIS SELECTION A number of factors influence the best basis selection of a wavelet ....
H. Guo, "Theory and applications of the shiftinvariant, time-varying, and undecimated wavelet transform," Master's Thesis, Rice University, Houston, TX, May 1995.
No context found.
H. Guo, "Theory and Application of The Shift-Invariant, TimeVarying and Undecimated Wavelet Transform," Master's thesis, Rice University, 1995.
No context found.
H. Guo, "Theory and applications of the shift-invariant, time-varying and undecimated wavelet transform," Master's thesis, Rice University, Houston, TX, May 1995.
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