Spline Modulation of Sinusoids for Signal Representation

Kai Bittner, Charles K. Chui

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We investigate biorthogonal Wilson bases generated by cardinal B-splines. Such bases provide very efficient representations of sinusoids modulated by spline functions. Exact Riesz bounds for such bases are given. Furthermore, we derive an explicit formula for the computation of the dual window functions and determine their decay rates.

Original languageEnglish
Pages (from-to)597-622
Number of pages26
JournalJournal of Fourier Analysis and Applications
Volume9
Issue number6
DOIs
Publication statusPublished - 2003
Externally publishedYes

Keywords

  • B-splines
  • Exponential Euler splines
  • Riesz basis
  • Wilson bases

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