(New page: Category:ECE301Spring2013JVK Category:ECE Category:ECE301 Category:signalandsystems Category:problem solving Category:Fourier series The question stated: ''2. Use...) |
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Revision as of 10:26, 11 March 2013
The question stated:
2. Use Matlab to demonstrate summing of a finite number of terms of a Fourier Series ... pick a fun time function with a discontinuity to illustrate Gibbs phenomena. How does the Gibbs overshoot behave as the number of terms in the FS increases?
The function chosen was a sawtooth wave with frequency 1.
k = 5
k = 10
k = 25
k = 50
k = 100
As the number of terms in the FS increased the overshoot became more pronounced around k = 25, but around k = 100 it smoothed out and adhered more to the look of a sawtooth wave.