3.10. For each of the periodic signals shown in Figure P3.3, do the following: (i) Compute...

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3.10. For each of the periodic signals shown in Figure P3.3, do the following: (i) Compute the complex exponential Fourier series. You may want to use the MATLAB Symbolic Math Toolbox to solve for the coefficients. (ii) Sketch the amplitude and phase spectra for k = 1, 2, 3, 4, 5. x(t) 2 1 t 01 2 3 4 5 1 x(t) 4 3 TH ... t -9-8 01 2 34 5 6 7 8 9 -1 -3 (d) 3.11. For each of the following signals, compute the complex exponential Fourier series by using trigonometric identities, and then sketch the amplitude and phase spectra for all values of k. (a) x(t) = cos(5t - /4) (f) x(t): = cos 3t+ cos 5t 3.12. Determine the exponential Fourier series for the following periodic signals: 00 - (b) x(t) = d(t kT) k=-00 3.17. Compute the Fourier transform of the following signals, using the symbolic manipulator to perform the integrations. In each case, plot the signal x(t) and the magnitude |X(w) of the Fourier transform. (a) x(t) = 2e cos(10t)u(t) 3.10. For each of the periodic signals shown in Figure P3.3, do the following: (i) Compute the complex exponential Fourier series. You may want to use the MATLAB Symbolic Math Toolbox to solve for the coefficients. (ii) Sketch the amplitude and phase spectra for k = 1, 2, 3, 4, 5. x(t) 2 1 t 01 2 3 4 5 1 x(t) 4 3 TH ... t -9-8 01 2 34 5 6 7 8 9 -1 -3 (d) 3.11. For each of the following signals, compute the complex exponential Fourier series by using trigonometric identities, and then sketch the amplitude and phase spectra for all values of k. (a) x(t) = cos(5t - /4) (f) x(t): = cos 3t+ cos 5t 3.12. Determine the exponential Fourier series for the following periodic signals: 00 - (b) x(t) = d(t kT) k=-00 3.17. Compute the Fourier transform of the following signals, using the symbolic manipulator to perform the integrations. In each case, plot the signal x(t) and the magnitude |X(w) of the Fourier transform. (a) x(t) = 2e cos(10t)u(t)

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