Procedure

Fourier Series Coefficients

This section requires selection of a signal and visualizing its first 20 Fourier series coefficients. Click on the "Check" button to visualize the plots. Steps to be done are as follows:

1. Choose a signal from the drop-down menu.
2. Click the "Plot" button to view the plot in the figures.

The plots are generated showing the $a_k$, $b_k$, and original signal plots in the observation panel.

Square Series Coefficients

This section requires selection of a signal and visualizing its first 20 square series coefficients. Click on the "Check" button to visualize the plots. Steps to be done are as follows:

1. Choose a signal from the drop-down menu.
2. Click the "Plot" button to view the plot in the figures.

The plots are generated showing the $a_k$, $b_k$, and original signal plots in the observation panel.

Fourier Series Reconstruction

This section requires selection of a signal and sliding the slider to choose the number of Fourier series coefficients for reconstructing the original signal and visualizing its effect in the plot. Click on the "Check" button to visualize the plot. Steps to be done are as follows:

1. Choose a signal from the drop-down menu.
2. Click the "Plot" button to view the plot in the figures.
3. Slide the slider to change the number of coefficients for reconstruction.

The plot is live-generated showing the reconstructed and original signals in the observation panel.

Square Series Reconstruction

This section requires selection of a signal and sliding the slider to choose the number of square series coefficients for reconstructing the original signal and visualizing its effect in the plot. Click on the "Check" button to visualize the plot. Steps to be done are as follows:

1. Choose a signal from the drop-down menu.
2. Click the "Plot" button to view the plot in the figures.
3. Slide the slider to change the number of coefficients for reconstruction.

The plot is live-generated showing the reconstructed and original signals in the observation panel.

Quasi-Periodic

This section requires selection of a real-life system and visualizing the quasi-periodic signal associated with it in the plot. Click on the "Generate" button to visualize the plot. Steps to be done are as follows:

1. Choose a real-life system from the drop-down list.
2. Click the "Generate" button to view the plot in the figure.
3. For ECG, guess the heart rate and click "Submit Guess".
4. For Double Pendulum, guess the time period and click "Submit Guess".
5. You have 5 attempts to guess correctly.
6. If you fail 5 times, click "Show Answer" to see the correct answer.

The plot is generated showing the quasi-periodic signal associated with the selected real-life system.