The Fourier transform of a rectangular function (or signal) is explored graphically using an applet.
Interactive Tutorial1 - click on the button above "click here to start" and MAXIMIZE the window obtained. 2 - The function f(t) to transform is in blue and the fourier transform of f(t) is in red. 3 - Use the slider on the left to change parameter a that contols the width of the rectangular function f(t) (blue). 4 - As you increase parameter a, the width of f(t) increases what happens to the shape of fourier transform? Does it get narrower or wider? 5 - As you decrease parameter a, the width of f(t) decreases what happens to the shape of fourier transform? Does it get narrower or wider? 6 - Use the definition of the Fourier transform to explain what you have observed above. |