Circuits-2 Question [1): a) Discuss the importance of studying the frequency spectrum of signals. Give an example.

Circuits-2

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Question [1): a) Discuss the importance of studying the frequency spectrum of signals. Give an example. b) Periodic non-sinusoidal signals are represented in the frequency domain by line spectrum and not a continuous spectrum. Give reasons. c) For the periodic voltage function shown in Fig.1(a): i) Derive an expression of the exponential Fourier series given that: v(t) = A e #) for 0stsT i) If A = 10 Volts, T=0,02 sec. and a-0.5, calculate the percentage of the signal power contained in the frequency range |f|<150 Hz. iii) If this signal is fed to a system having a system function that is described in magnitude and phase by Figs. 1(b) and(c), derive an expression of the output voltage signal and calculate the percentage of the input power to the system that is available at its output (3 Points) (2 Points) (3 Points) (3 Points) (3 Points) Insert the results of part c) in a suitable Table. v(t) Volts + t (sec.) 3T T. 27 Fig. 1(a) IHI 150 100 0 e s0 100 150 f(Hz) f(Hz) Fla 1b Fla fcl Question [1): a) Discuss the importance of studying the frequency spectrum of signals. Give an example. b) Periodic non-sinusoidal signals are represented in the frequency domain by line spectrum and not a continuous spectrum. Give reasons. c) For the periodic voltage function shown in Fig.1(a): i) Derive an expression of the exponential Fourier series given that: v(t) = A e #) for 0stsT i) If A = 10 Volts, T=0,02 sec. and a-0.5, calculate the percentage of the signal power contained in the frequency range |f|<150 Hz. iii) If this signal is fed to a system having a system function that is described in magnitude and phase by Figs. 1(b) and(c), derive an expression of the output voltage signal and calculate the percentage of the input power to the system that is available at its output (3 Points) (2 Points) (3 Points) (3 Points) (3 Points) Insert the results of part c) in a suitable Table. v(t) Volts + t (sec.) 3T T. 27 Fig. 1(a) IHI 150 100 0 e s0 100 150 f(Hz) f(Hz) Fla 1b Fla fcl

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Answer Q1The frequency spectrum of signals In the timedomain analysis it is not possible to find the ... View the full answer