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Unformatted text preview: [-, + ] . All future references to f ( x ) is this scaled and translated version. Your goal will be to nd an approxima-tion of this function as a Fourier series, and show the graphs of successive approximations overlayed on the actual function. Consider the Fourier basis e inx for n =-N, . .., + N , and the corresponding sum + N X n =-N c n e inx Calculate the values of c n by numerically approximating the integral Z + - f ( x ) e-inx dx , that is, by dividing the range [-, + ] , into small intervals and approximating the integral as a sum. Show graphs of how well f ( x ) is approximated by overlaying the series over f ( x ) for various values of N (for example, N = 5 , 10 , 20 , 50 ). 1...
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This note was uploaded on 01/15/2012 for the course CIS 4930 taught by Professor Staff during the Spring '08 term at University of Florida.
- Spring '08