Title :
Generalized sampling theorem
Author_Institution :
Dept. of Biol. & Biomed. Eng., Southeast Univ., Nanjing, China
fDate :
8/1/1992 12:00:00 AM
Abstract :
It is shown, for an arbitrary function f(t), that if there exists a reversible function g(t) such that g(f(t)) is band-limited, then f(t) can be uniquely determined in terms of its samples f(nTs) sampled with the Nyquist rate of g(f(t)). The application of this result to undersampling is illustrated by examples
Keywords :
information theory; signal processing; Nyquist rate; sampling theorem; undersampling; Fourier transforms; Frequency; Linear systems; Nonuniform sampling; Sampling methods; Tomography;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
