2003
DOI: 10.1016/s0165-1684(03)00077-x
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Complex wavelet transforms with allpass filters

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Cited by 66 publications
(30 citation statements)
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“…Furthermore we would like to point out that the redundancy of the dual-tree complex wavelet transform can be overcome by using the softy-space projection [10] which relieves the redundancy by projecting the real-valued image on a hypercomplex image of lower resolution.…”
Section: Resultsmentioning
confidence: 99%
“…Furthermore we would like to point out that the redundancy of the dual-tree complex wavelet transform can be overcome by using the softy-space projection [10] which relieves the redundancy by projecting the real-valued image on a hypercomplex image of lower resolution.…”
Section: Resultsmentioning
confidence: 99%
“…These methods do have some fundamental differences. Time-domain methods [3], [8], [10] require the generation of filter coefficients, the analytic signal being obtained as the output of these filters. They are based on approximations to a continuous spectrum.…”
Section: Resultsmentioning
confidence: 99%
“…Other examples include discrete wavelet transforms, where we see a reduction of shift sensitivity and improved directionality [2] analysis [1], where they are used in the estimation of instantaneous frequency. Methods currently used to generate DTA signals are either time-domain [3], [8], [10] filtering methods or frequency-based ones [5], [7]. The former requires the generation of filter coefficients; the analytic signal is then obtained as the output of these filters.…”
Section: Introductionmentioning
confidence: 99%
“…The essential difference compared with the half-sample shifted CQF filter bank (Selesnick, 2002) is the linear phase of the BDWT bank and the FD B-spline filters adapted in this work. The shifted CQF filter bank is constructed with the aid of the all-pass Thiran filters and the scaling and wavelet coefficients suffer from nonlinear phase distortion effects (Fernandes, 2003). The linear phase warrants that the wavelet sequences in different scales are accurately time related.…”
Section: Discussionmentioning
confidence: 99%
“…Gopinath (2003) generalized the idea by introducing the M parallel CQFs, which have a fractional phase shift with each other. Both Selesnick and Gopinath have constructed the parallel CQF bank with the aid of the all-pass Thiran filters, which suffers from nonlinear phase distortion effects (Fernandes, 2003). In this book chapter we introduce a linear phase and shift invariant BDWT bank consisting of M fractionally delayed wavelets.…”
Section: Introductionmentioning
confidence: 99%