Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (2): 227-233.
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Abstract: In this paper, we give a method which allows us to construct a class of Parseval frames for L2(R) from Fourier frame for L2(I). The result shows that the function which generates a Gabor frame by translations and modulations has "good" properties, i.e., it is sufficiently smooth and compactly supported.
Key words: Gabor frame, Fourier frame, Parseval frame, bell function
CLC Number:
TP391.41
LU Da-yong, TIAN Jin-yu. A Simple Construction of Gabor Frames for L2(R)[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 227-233.
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https://sxjk.magtechjournal.com/EN/Y2009/V24/I2/227
