Tasks
Fourier Series Coefficients
Fourier Series Reconstruction
Quasi-Periodic
Fourier Series Coefficients
Instructions
To visualize the first 20 fourier series coefficients of a signal:
Follow these steps:
Choose a signal from the drop-down menu
Click the "Plot" button to view the plot in the figures
Square Wave
Triangular Wave
Half-Wave Rectifier
Full-Wave Rectifier
Check
Observations
Square-Wave Series Coefficients
Instructions
To visualize the first 20 square series coefficients of a signal:
Follow these steps:
Choose a signal from the drop-down menu
Click the "Plot" button to view the plot in the figures
Square Wave
Triangular Wave
Half-Wave Rectifier
Full-Wave Rectifier
Check
Observations
Fourier Series Reconstruction
Instructions
To visualize how the number of fourier series coefficients considered can affect the reconstructed signal:
Follow these steps:
Choose a signal from the drop-down menu
Click the "Plot" button to view the plot in the figure
Slide the slider to change the number of coefficients for reconstruction
Square Wave
Triangular Wave
Half-Wave Rectifier
Full-Wave Rectifier
Custom Wave
Number of coefficients:
1
Check
Observations
Square-Wave Series Reconstruction
Instructions
To visualize how the number of square series coefficients considered can affect the reconstructed signal:
Follow these steps:
Choose a signal from the drop-down menu
Click the "Plot" button to view the plot in the figure
Slide the slider to change the number of coefficients for reconstruction
Square Wave
Triangular Wave
Half-Wave Rectifier
Full-Wave Rectifier
Number of coefficients:
1
Check
Observations
Visualize Quasi-Periodic Signals
Instructions
To visualize real-life examples of quasi-periodic signals:
Follow these steps:
Choose a real-life system from the drop-down list
Click the "Generate" button to view the plot in the figure
For ECG, guess the heart rate and click "Submit Guess"
For Double Pendulum, guess the time period and click "Submit Guess"
You have 5 attempts to guess correctly
If you fail 5 times, click "Show Answer" to see the correct answer
ECG
Double Pendulum
Generate
Stop
Noise Level
Length of Rod 1
Length of Rod 2
Gravity
Convolve
Submit Guess
Hint: Use convolution to find the peaks in the ECG signal and estimate the heart rate.
Show Answer
Convolve Theta1
Submit Guess
Hint: Use convolution to find the peaks in the Theta1 signal and estimate the time period.
Show Answer
Observations