DFT: A Pulse Example

Building the Cantata Workspace

1. Create a vertical binary image by thresholding at level 0 a sinusoidal signal in the width direction. User the operators Sinusoidal and >=. Display the image with the Display Image operator.
2. Take the forward Fourier transform and display the result. Use the FFT operator.
3. Extract the center horizontal line of the DFT. Determine the magnitude and phase components and plot the results. Use operators Extract and 2D Plot.
4. Print the DFT values of the extracted line, use operator Print Data.

Exercises

• Perform the same experiment but with different images.
• Create a sinusoidal signal in the height direction and repeat the experiment.
• Perform the same experiments but with two sinusoidal signals, one in the horizontal direction and the other in the height.
• Perform the same experiment but with piece-wise functions.