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      • Department of Electrical and Electronics Engineering
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      Time-varying lifting structures for single-tree complexwavelet transform

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      Author
      Keskin, Furkan
      Çetin, A. Enis
      Date
      2012
      Source Title
      2012 20th Signal Processing and Communications Applications Conference (SIU)
      Publisher
      IEEE
      Language
      Turkish
      Type
      Conference Paper
      Item Usage Stats
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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.
      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
      Permalink
      http://hdl.handle.net/11693/28191
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/SIU.2012.6204747
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      • Department of Electrical and Electronics Engineering 3613
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