Representation of periodic functions with a finite Fourier spectrum by a modified Kotel’nikov series
I. S. Dmitriev, M. P. Slichenko · Journal of Communications Technology and Electronics · 2015
A closed-form analytic representation of periodic functions with a finite Fourier spectrum by a modified Kotel’nikov series with a finite number of terms is obtained. It is shown that this representation allows one to exactly calculate arbitrary-order derivatives of this function from its sampled values.