Simulation of the effects of correlated and uncorreltaed sampling jitter on a sinusoidal signals

<p># Simulation of Sampling Time Deviations on a Sine Signal</p><p>All the videos show a simulation of the influence of correlated or uncorrelated sampling time deviations on a sine signal.</p><p>Within the video, the signal frequency is swept in 1 Hz steps.</p><p>## 1. Top Image</p><p>The top image shows an overlap of all the periods of the sine signal in the 1-second simulation duration.</p><p>- **Blue dashed line:** Nominal signal.</p><p>- **Dots:** Values of the data sampled with the time deviation, but on the nominal time points (without time deviation).</p><p>- **Time color coding:** Rainbow color-coded: blue first → green → red last.</p><p>- **Orange line:** Sine Approximation/FFT result for the simulation frequency.</p><p>&nbsp;</p><p>## 2. Second Plot</p><p>This plot shows the sampling time deviation of this sample point in fractions of a sample interval.</p><p>- **Time color coding:** Rainbow color-coded: blue first → green → red last.</p><p>&nbsp;</p><p>## 3. Third Plot</p><p>Shows the residue of the sampled data to the nominal signal (orange) or the approximated signal (blue).</p><p>&nbsp;</p><p>## 4. Fourth Plot</p><p>Shows the Amplitude and Phase of the Sine approximation, as well as the RMS of the complete signal.</p><p>&nbsp;</p><p>## 5. Last Plot</p><p>Shows the FFT of the signal assuming equidistant sampling. For the uncorrelated jitter simulation, the 1 and 2 sigma confidence intervals for 1000 simulations are shown as well.</p><p>&nbsp;</p>