Development of computationally efficient biorthogonal wavelets

KALE M. C.

Turkish Journal of Electrical Engineering and Computer Sciences, cilt.29, sa.1, ss.110-121, 2021 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3906/elk-2001-27
  • Dergi Adı: Turkish Journal of Electrical Engineering and Computer Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.110-121
  • Anahtar Kelimeler: Biorthogonal wavelets, lifting scheme, filter banks, filter design, integer-to-integer wavelet transform, TRANSFORMS, CONSTRUCTION, FILTER
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

© TÜBİTAKDaubechies 5-tap/3-tap (Daub 5/3) wavelet and Kale 5-tap/3-tap (Kale 5/3) wavelet are computationally efficient wavelets which can be implemented by bitwise shifts and additions in the lifting scheme. In this work, presented is a formulation for computationally efficient wavelet prediction (P) and update (U) filters of two-channel lifting structures. Their subband decomposition scheme counterparts are also given. This research bases itself on the Daub 5/3 and Kale 5/3 wavelets and develops a formula for wavelets (which can be implemented with bitwise shifts and additions) that are derived from these two wavelets. The proposed wavelets are tried on 16 test images for three-level wavelet decompositions and better decorrelation results are achieved for the proposed wavelets for higher-level decompositions.