Tasks

Fourier Series Coefficients

Instructions

To visualize the first 20 fourier series coefficients of a signal:


Follow these steps:


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

Observations

Square-Wave Series Coefficients

Instructions

To visualize the first 20 square series coefficients of a signal:


Follow these steps:


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

Observations

Fourier Series Reconstruction

Instructions

To visualize how the number of fourier series coefficients considered can affect the reconstructed signal:


Follow these steps:


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

Number of coefficients:   1
Observations

Square-Wave Series Reconstruction

Instructions

To visualize how the number of square series coefficients considered can affect the reconstructed signal:


Follow these steps:


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

Number of coefficients:   1
Observations

Visualize Quasi-Periodic Signals

Instructions

To visualize real-life examples of quasi-periodic signals:


Follow these steps:


  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

Hint: Use convolution to find the peaks in the ECG signal and estimate the heart rate.

Observations