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2 Pages

### Fseries

Course: EE EL6113, Spring 2012
School: NYU Poly
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Word Count: 121

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Series Fourier 1. For the following signal: x(t) 2 -7 -6 -4 -3 -2 -1 23 56 8 9 time a) Find the Fourier series b) Plot the spectra versus frequency, = n 0 . 2. Repeat problem 1 for the following signal: x(t) cos(t) -10 10 time 3. Compute the Fourier series for the following signals: a) x( t ) = 2 + 4 cos(50t + / 2) + 12 cos(100t / 3) b) x( t ) = 4 cos(2 (1000) t ) cos(2 ) 750000t c) 2 1 1 2 4 d) 1 1 2...

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Series Fourier 1. For the following signal: x(t) 2 -7 -6 -4 -3 -2 -1 23 56 8 9 time a) Find the Fourier series b) Plot the spectra versus frequency, = n 0 . 2. Repeat problem 1 for the following signal: x(t) cos(t) -10 10 time 3. Compute the Fourier series for the following signals: a) x( t ) = 2 + 4 cos(50t + / 2) + 12 cos(100t / 3) b) x( t ) = 4 cos(2 (1000) t ) cos(2 ) 750000t c) 2 1 1 2 4 d) 1 1 2 3 4. For the signals given in Problem 3c) and 3 d), use Matlab to plot the truncated Fourier series for N = 3, N = 10 and N= 40. (Use subplot to save paper). 5. Find the Fourier series for the following signal. Also, sketch the approximation if a large number of terms are kept in the series (say N=30). x(t) 3 -6 -3 -2 1 0 34 6 9 t
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