Title :
Fractional Gabor spectral estimation for multi-component signals
Author :
Onen, Erol ; Akan, Aydin
Author_Institution :
Dept. of Electr. & Electron. Eng., Istanbul Univ., Istanbul, Turkey
Abstract :
We present a high resolution time-frequency spectral analysis method for multi-component signals based on a discrete fractional Gabor expansion. The proposed expansion uses the closed form discrete fractional Fourier kernel and generate a parallelogram-shaped time-frequency plane tiling. Completeness and biorthogonality conditions of the new expansion are derived. We also present a search algorithm to obtain optimal analysis fraction orders for an arbitrary, multicomponent signal to estimate a high resolution Gabor spectrum.
Keywords :
discrete Fourier transforms; signal resolution; spectral analysis; time-frequency analysis; discrete fractional Fourier kernel; discrete fractional Gabor expansion; fractional Gabor spectral estimation; high resolution time-frequency spectral analysis method; multicomponent signal; parallelogram-shaped time-frequency plane tiling; Abstracts; Chirp; Nickel;
Conference_Titel :
Signal Processing Conference, 2004 12th European
Conference_Location :
Vienna
Print_ISBN :
978-320-0001-65-7