Title :
Fast classical and quantum fractional Walsh transforms
Author :
Labunets, Valeri ; Labunets-Rundblad, Ekaterina ; Egiazarian, Karen ; 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 special cases of the fractional Fourier domain. They correspond to the Oth and 1st functional Fourier domains, respectively. We introduce the classical and quantum fractional Walsh transforms and develop corresponding fast algorithms
Keywords :
signal processing; spectral analysis; time-domain analysis; transforms; FRFT; classical Walsh transform; fractional Fourier transform; quantum fractional Walsh transform; signal processing; spectral domain; time domain; Data compression; Digital signal processing; Discrete transforms; Fourier transforms; Image coding; Image restoration; Polynomials; Signal processing; Signal processing algorithms; Signal restoration;
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.2001.938691
