Compact Fractional Fourier Domains

SERBES A.

IEEE SIGNAL PROCESSING LETTERS, vol.24, no.4, pp.427-431, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 4
  • Publication Date: 2017
  • Doi Number: 10.1109/lsp.2017.2672860
  • Journal Name: IEEE SIGNAL PROCESSING LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.427-431
  • Keywords: Coarse-to-fine search, compact fractional Fourier domains, fractional Fourier transform, minimum l1 norm, TRANSFORM
  • Yıldız Technical University Affiliated: Yes

Abstract

In this letter, a method for finding the compact fractional Fourier domains is presented. As a measure of compactness, we take the l(1)-norm. It is proposed that there exists at least one fractional Fourier domain in which l(1)-norm of the transformed signal is minimum. A coarse-to-fine grid search strategy is adopted to find the optimum fractional Fourier transform angle thatmakes l(1)-norm minimum with low computational cost. Extensive simulation results validate the proposed method.