Exact PWM representation of bandlimited signals

Abstract

This paper proves that any bandlimited signal within ±0.637V can be represented by a PWM waveform with amplitude V. The number of the pulses in the waveform is equal to the number of the Nyquist samples. This paper also provides a practical iterative procedure to generate the PWM waveform for a given bandlimited signal. The error of this procedure decreases exponentially with the number of iterations.