A Mathematical Model for Signal's Energy at the Output of an Ideal DAC

TL;DR

This paper develops a mathematical model to estimate the output signal energy of an ideal DAC affected by sampling clock jitter, highlighting deviations from Parseval's identity and proposing a sinc-based estimation method.

Contribution

It introduces a novel sinc-based estimation method for signal energy at the output of an ideal DAC under sampling jitter conditions.

Findings

Energy estimation deviates from Parseval's identity with jitter

Proposes a direct sinc function-based energy estimation method

Provides analytical insights into jitter effects on DAC output energy

Abstract

The presented research work considers a mathematical model for energy of the signal at the output of an ideal DAC, in presence of sampling clock jitter. When sampling clock jitter occurs, the energy of the signal at the output of ideal DAC does not satisfies a Parseval identity. Nevertheless, an estimation of the signal energy is here shown by a direct method involving sinc functions.