1. Find the Fourier series coefficients for the following signals and plot their magnitude and phase. a) x(t) = 3 + 2 cos(0.16) + 4 cos (0.26 - ) + cos(0.25t +) b) x[n] = cos cos En + 3) +3
2. Use the definition of the DTFS to determine the time-domain signals represented by the following DTFS coefficients: a) Jakla 1 -13 -8 -3 0 2 7 12 tak, TT/2 -13 بناء 00 0 2 12 -TT/2 b) ak 0.5 -11 10 -75 -6 517 *** k 6
3. Compute the Fourier series coefficients for the following signal, and plot magnitude and phase over the range from k=-5 to k=5. xt) 3 1 ਵਸਦੇ 10. t - 10 |-6 -3 012467 -1 2
4. Consider the RC circuit depicted in below with input x(t) and output y(t), a) Write a differential-equation description for this system and find the frequency response H(jo). M R=20 k 2 +O + O X(t) X C=100 uF y(t) b) Find {ax), the Fourier series coefficients of x(t) given below, and plot its magnitude and phase. x(t) = 3 + 2 cos(0.1t) + 4 cos (0.27 - 5) + cos(200t +11) c) Find {bx), the Fourier series coefficients of y(t), and plot its magnitude and phase. Write y(t) as a Fourier series.
1. Find the Fourier series coefficients for the following signals and plot their magnitude and phase. a) x(t) = 3 + 2 co
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1. Find the Fourier series coefficients for the following signals and plot their magnitude and phase. a) x(t) = 3 + 2 co
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