Gabor dual spline windows

Research output: Contribution to journalArticlepeer-review

Abstract

A method is presented for constructing dual Gabor window functions that are polynomial splines. The spline windows are supported in [- 1, 1], with a knot at x = 0, and can be taken Cm smooth and symmetric. The translation and modulation parameters satisfy a = 1 and 0 < b ≤ 1 / 2. The full range 0 < a b < 1 is handled by introducing an additional knot. Many explicit examples are found.

Original languageEnglish (US)
Pages (from-to)180-194
Number of pages15
JournalApplied and Computational Harmonic Analysis
Volume27
Issue number2
DOIs
StatePublished - Sep 2009

Keywords

  • Dual frame
  • Gabor system

ASJC Scopus subject areas

  • Applied Mathematics

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