Constructions of periodic wavelet frames using extension principles (with Z. Zhang), Applied and Computational Harmonic Analysis, vol. 27, no. 1, pp. 12-23, 2009.

Abstract

Since the extension principles of constructing wavelet frames were presented, a lot of symmetric and compactly supported wavelet frames with high vanishing moments have been constructed. However the problem of constructing periodic wavelet frames with the help of extension principles is open. In this paper, we will construct tight periodic wavelet frames using the unitary extension principle and construct pairs of dual periodic wavelet frames using the mixed extension principle.

Keywords: Periodic wavelet frame, dual frame, extension principle, multiresolution analysis

  • Get the full paper (revised on 10/02/08): PDF file.
  • Get the official version via doi:10.1016/j.acha.2008.10.003.
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