Compact Fractional Fourier Domains

SERBES A.

IEEE SIGNAL PROCESSING LETTERS, cilt.24, sa.4, ss.427-431, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1109/lsp.2017.2672860
  • Dergi Adı: IEEE SIGNAL PROCESSING LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.427-431
  • Anahtar Kelimeler: Coarse-to-fine search, compact fractional Fourier domains, fractional Fourier transform, minimum l1 norm, TRANSFORM
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.