Title :
Sampling bandlimited periodic signals-an application of the DFT
Author :
Brown, John L., Jr.
Abstract :
It is shown that Cahn´s representation for bandlimited periodic signals in terms of their sampled values can be derived simply by using the discrete Fourier transform (DFT). Parseval´s theorem for the DFT allows the average power of such a signal to be expressed directly in terms of signal samples without harmonic analysis.
Keywords :
Discrete Fourier transforms; Fourier series; Fourier transforms; Harmonic analysis; Integral equations; Nonuniform sampling; Power system harmonics; Sampling methods; Signal analysis; Tin;
Journal_Title :
Education, IEEE Transactions on
DOI :
10.1109/TE.1980.4321415