Title :
Spectrum analysis on Mellin Ttransform and fractional Mellin transform
Author :
Zuo, Xiangwu ; Zhou, Nanrun
Author_Institution :
Dept. of Electron. Inf. Eng., Nanchang Univ., Nanchang, China
Abstract :
The differences between Mellin transform and Fourier transform are compared from the aspect of spectrum. Some properties of Mellin transform and fractional Mellin transform are generalized. The period of fractional Mellin transform is also investigated. Comparing with Parseval theorem of Fourier transform, a similar theorem of Mellin transform is formulated. In addition, the scale invariance property of Mellin transform has been extended.
Keywords :
Fourier transforms; scaling phenomena; spectral analysis; Fourier transform; Parseval theorem; fractional Mellin transform; scale invariance property; spectrum analysis; Correlation; Educational institutions; Fourier transforms; Presses; Signal processing; Time frequency analysis; Mellin transform; Parseval theorem; fractional Fourier transform; fractional Mellin transform; scale invariance;
Conference_Titel :
Image and Signal Processing (CISP), 2011 4th International Congress on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-9304-3
DOI :
10.1109/CISP.2011.6100534
