MATH08013: Determine the exponential Fourier series of the periodic function f(x) shown in Figure 1: Maths Assignment, UCC, Ireland
| University | University College Cork (UCC) |
| Subject | MATH08013: Maths Assignment |
Question 4
Determine the exponential Fourier series of the periodic function f(x) shown in Figure 1.
i. Obtain the expressions for the amplitude and phase spectra.
ii. Using MATLAB, plot the amplitude and phase spectra for 𝑛 = 1, 2, 3, … , 𝑁, where 𝑁 = 11.
iii. Plot the reconstructed waveform of the function for 𝑛 = 1, 2, 3, … , 𝑁, where 𝑁 = 11.
What is Gibbs Phenomenon and have you observed this in the obtained plot?
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