A general biorthogonal wavelet based on Karhunen-Loeve transform approximation

KALE M. C.

SIGNAL IMAGE AND VIDEO PROCESSING, cilt.10, sa.4, ss.791-794, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s11760-016-0860-2
  • Dergi Adı: SIGNAL IMAGE AND VIDEO PROCESSING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.791-794
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The lifting style biorthogonal wavelet implementation has a nice property of enabling flexible design; it is immediately reversible and has a simple relation to subband filters. In this work, we present a general wavelet prediction (P) and update (U) filters of two-channel lifting structures. A previous research of the author introduced signal-specific wavelets, which minimizes the difference between block wavelet transform matrix of the wavelet and the Karhunen-Loeve transform of a stochastic process with certain autocorrelation sequence. This research introduces a general wavelet, which can work on any stochastic process. Numerical results are provided in terms of the filter coefficients and experimental performances on 16 test images.