Title :
On Bandlimited Signals Associated With Linear Canonical Transform
Author :
Zhao, Hui ; Ran, Qi-Wen ; Ma, Jing ; Tan, Li-Ying
Author_Institution :
Nat. Key Lab. of Tunable Laser Technol., Harbin Inst. of Technol., Harbin
fDate :
5/1/2009 12:00:00 AM
Abstract :
We first show that the bandlimited signals associated with linear canonical transform (LCT) form a reproducing kernel Hilbert space. An orthogonal basis for the class of bandlimited signals associated with LCT is then proposed by use of the reproducing kernel, with respect to which the coordinates of signal are actually values taken by the signal at certain instants of time. Finally, a nonuniform sampling theorem for bandlimited signals associated with LCT is presented.
Keywords :
Hilbert spaces; Hilbert transforms; bandlimited signals; signal sampling; bandlimited signal; kernel Hilbert space; linear canonical transform; nonuniform sampling theorem; orthogonal basis; Fourier transforms; Hilbert space; Kernel; Laboratories; Nonuniform sampling; Radio access networks; Sampling methods; Signal processing; Signal sampling; Tunable circuits and devices; Bandlimited signal; linear canonical transform; reproducing kernel; sampling;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2009.2014290
