HW_Set_4_Solutions - Introduction to Signal Processing...

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Introduction to Signal Processing Hayder Radha - 1 - ECE 366 Homework Set #4 Solutions Wednesday, February 18, 2009 ECE 366 – Introduction to Signal Processing Spring 2009 Michigan State University Department of Electrical and Computer Engineering [1] Problem 6.1-1 (a) and (d)
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Introduction to Signal Processing Hayder Radha - 2 - ECE 366
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Introduction to Signal Processing Hayder Radha - 3 - ECE 366 Note that the phase value π is equivalent to the phase value + . Hence, we can plot or use either of these two phases. Below, is the result of a MatLab program that plots the amplitude and phase of the above Fourier series. -10 -8 -6 -4 -2 0 2 4 6 8 10 0 0.5 1 1.5 C n n -10 0 2 4 6 8 10 -3 -1 0 θ (rad) n We can also plot the Fourier series parameters as a function of the harmonic frequency 0 n ω = . In this case, since 0 2 = , then 0 2 nn ωω == . Below is an example illustrating the amplitudes and the phase values as a function of the harmonic frequencies 0 n = .
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Introduction to Signal Processing Hayder Radha - 4 - ECE 366 -15 -10 -5 0 5 10 15 0 0.5 1 1.5 |C n | ω = n ω 0 -20 -15 -10 -5 0 5 10 15 20 -4 -3 -2 -1 0 θ (rad)
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HW_Set_4_Solutions - Introduction to Signal Processing...

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