Mathematical Representation of Pulse-Amplitude Modulated Signals: A Systematic Approach

Abstract

Present paper systematizes the knowledge on methods of mathematical representation of pulse-amplitude modulated (PAM) signals. Both natural and flat-top PAM signals have been considered, and for each type of signal two basic ways of representation have been described. Special attention has been paid to mathematical technique of transition from one representation to another. It has been shown that Fourier transform of the natural PAM signal has the functional form of the flat-top PAM signal, and, vice versa, Fourier transform of the flat-top PAM signal has the functional form of the natural PAM signal.