Analytic Derivation of Audio PWM Signals and Spectra

A method is presented which allows the direct mapping of any arbitrary audio PCM sample value into PWM pulse transition intervals, hence producing an analytic description of the resulting PWM data stream. In addition, the exact spectrum of the PWM signal can also be derived analytically from the PCM audio data. Comparative studies show that the proposed method has significant advantages over the existing methods used for the analysis of PWM conversion artifacts.