Time-varying lifting structures for single-tree complexwavelet transform

Date
2012
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Source Title
2012 20th Signal Processing and Communications Applications Conference (SIU)
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Publisher
IEEE
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Language
Turkish
Type
Conference Paper
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Abstract

In this paper, we describe a single-tree complex wavelet transform method using time-varying lifting structures. In the dualtree complex wavelet transform (DT-CWT), two different filterbanks are executed in parallel to analyze a given input signal, which increases the amount of data after analysis. DT-CWT leads to a redundancy factor of 2 d for d-dimensional signals. In the proposed single-tree complex wavelet transform (ST-CWT) structure, filters of the lifting filterbank switch back and forth between the two analysis filters of the DT-CWT. This approach does not increase the amount of output data as it is a critically sampled transform and it has the desirable properties of DT-CWT such as shift-invariance and directional selectivity. The proposed filterbank is capable of constructing a complex wavelet-like transform. Examples are presented. © 2012 IEEE.

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Keywords
Complex wavelet transforms, Directional selectivity, Dual-tree complex wavelet transform, Input signal, Lifting structure, Output data, Redundancy factors, Shift-invariance, Time varying, Filter banks, Forestry, Analysis, Data Processing, Directional Measurement, Filters, Signals
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Published Version (Please cite this version)