HW1, EECS 207A. UCI Fall 2004

by Nasser Abbasi

Problem

Solution

This below show how to do this. From definition of fourier coefficients, we calculate the coefficients for up to some fixed n. Then plot f[x] and the approximated f[x] and compare the two functions on the same plot. I also show Fouries approximation for 2 other functions, the sawtooth and the square function.

a[n] and b[n] Fourier coefficients for n up to 10

Run output below for a square function

Run output below for a

f[x_]:=Which[-Pi£x<0,x,0£x<Pi,x]; (*sawtooth*)