Symmetric interpolatory framelets and their erasure recovery properties

Ofer Amrani*, Amir Averbuch, Tamir Cohen, Valery A. Zheludev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

A new class of wavelet-type frames in signal space that uses (anti)symmetric waveforms is presented. The construction employs interpolatory filters with rational transfer functions. These filters have linear phase. They are amenable either to fast cascading or parallel recursive implementation. Robust error recovery algorithms are developed by utilizing the redundancy inherent in frame expansions. Experimental results recover images when (as much as) 60% of the expansion coefficients are either lost or corrupted. The proposed approach inflates the size of the image through framelet expansion and multilevel decomposition thus providing redundant representation of the image. Finally, the frame-based error recovery algorithm is compared with a classical coding approach.

Original languageEnglish
Pages (from-to)541-566
Number of pages26
JournalInternational Journal of Wavelets, Multiresolution and Information Processing
Volume5
Issue number4
DOIs
StatePublished - Jul 2007

Keywords

  • Coding techniques
  • Error recovery
  • Framelets
  • Interpolatory filters

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