Simulation of Pulse Amplitude Modulation (PAM)

This article explores the simulation of Pulse Amplitude Modulation (PAM), a modulation technique where the amplitude of a pulse carrier wave varies in accordance with the baseband signal. When the pulse carrier consists of impulse pulses, the underlying principle corresponds directly to the sampling theorem. From a code implementation perspective, PAM simulation typically involves generating a pulse train and modulating its amplitude using sample values extracted from the baseband signal through systematic sampling. Pulse modulation technology finds extensive applications in communication systems, including both digital and analog communications. In digital communications, pulse modulation techniques convert digital signals into pulse sequences for transmission over channels. In analog communications, they facilitate the modulation of audio and video signals. Consequently, pulse modulation technology remains an indispensable component of modern communication systems. Key implementation steps often include signal sampling using functions like resample(), pulse train generation with rectangular pulses via rectpuls(), and amplitude modulation through element-wise multiplication of sampled values with the pulse sequence.