Dual generators for weighted irregular wavelet frames and reconstruction error

Zuofeng Shang, Xingwei Zhou

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Dual frames are very useful tools to reconstruct a function and have been explored in many different aspects. In this paper, we give the conditions under which a class of special weighted irregular wavelet frames could have a dual generator with a very explicit form. We also prove that when the irregular translations are changed in some admissible range, the reconstruction formula has a very small perturbation. An example is given to show the use of our main results.

Original languageEnglish (US)
Pages (from-to)356-367
Number of pages12
JournalApplied and Computational Harmonic Analysis
Issue number3
StatePublished - May 2007
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Applied Mathematics


  • Dual frames
  • Dual generator
  • Weighted irregular wavelet frames
  • Weighted tight frames


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