A linear optimization of dual-tree complex wavelet transform

Seisuke Kyochi, Takafumi Shimizu, Masaaki Ikehara

Research output: Contribution to journalArticlepeer-review


In this paper, a linear optimization of the dual-tree complex wavelet transform (DTCWT) based on the least squares method is proposed. The proposed method can design efficient DTCWTs by improving the design degrees of freedom and solving the least square solution iteratively. Because the resulting DTCWTs have good approximation accuracy of the half sample delay condition and the stopband attenuation, they provide precise shift-invariance and directionality. Finally, the proposed DTCWTs are evaluated by applying to non-linear approximation and image denoising, and showed their effectiveness, compared with the conventional DTCWTs.

Original languageEnglish
Pages (from-to)1386-1393
Number of pages8
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Issue number6
Publication statusPublished - 2011 Jun


  • Directionality
  • Dual-tree complex wavelet transform
  • Half sample delay condition
  • Least squares method
  • Shift invariance

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics


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