Title :
Oversampling in the Gabor scheme
Author :
Zibulski, Meir ; Zeevi, Yehoshua Y.
Author_Institution :
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
fDate :
8/1/1993 12:00:00 AM
Abstract :
A method for calculating the coefficients of the Gabor expansion in the case of oversampling is presented. The method is based on the concept of frames and utilizes the Zak transform. As such, the Zak transform highlights the meaning and importance of frames in the context of oversampling, and other aspects of signal representation by means of nonorthogonal bases
Keywords :
image processing; signal processing; transforms; Gabor scheme; Zak transform; concept of frames; nonorthogonal bases; oversampling; signal representation; Helium; Hilbert space; Sampling methods; Signal representations; Signal resolution; Wavelet transforms;
Journal_Title :
Signal Processing, IEEE Transactions on