Title :
Fast classical and quantum fractional Haar wavelet transforms
Author :
Labunets, Valeri ; Labunets-Rundblad, Ekaterina ; Astola, Jaakko
Author_Institution :
Int. Center for Signal Process., Tampere Univ. of Technol., Finland
Abstract :
The fractional Fourier transform (FRFT) is one-parametric generalization of the classical Fourier transform. FRFT was introduced in the 1980s and found a lot of applications in signal processing. The time and spectral domains are both the special cases of the functional Fourier domain. They correspond to the 0th and 1st fractional Fourier domains, respectively. We introduce the classical and quantum fractional Haar-wavelet transforms and develop corresponding fast algorithms
Keywords :
Haar transforms; signal processing; transforms; wavelet transforms; fast classical Haar wavelet transforms; quantum fractional Haar wavelet transforms; signal processing; Digital signal processing; Discrete transforms; Fourier transforms; Image processing; Matrix decomposition; Polynomials; Signal processing; Signal processing algorithms; Symmetric matrices; Wavelet transforms;
Conference_Titel :
Image and Signal Processing and Analysis, 2001. ISPA 2001. Proceedings of the 2nd International Symposium on
Conference_Location :
Pula
Print_ISBN :
953-96769-4-0
DOI :
10.1109/ISPA.2001.938692
