In this problem, we want to determine the Fourier series of the steady state output y(t),...
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In this problem, we want to determine the Fourier series of the steady state output y(t), of a Butterworth filter given by H(s) below, to the input x(t). The input x(t) is a periodic rectangular pulse train such as the one below x(t) 1 -T -d/2 0 d/2 T The pulses have duration d=4sec and amplitude 1 volt. The fundamental frequency of the periodic waveform is 1/32 Hz. The filter is described by the transfer function below. 1 H(s)= a. Derive the Fourier series of x(t). b. Give the Fourier series of the output y(t), i.e., give Yk, at steady state. c. Give an equation that describes precisely the steady state output y(t) of the system. In this problem, we want to determine the Fourier series of the steady state output y(t), of a Butterworth filter given by H(s) below, to the input x(t). The input x(t) is a periodic rectangular pulse train such as the one below x(t) 1 -T -d/2 0 d/2 T The pulses have duration d=4sec and amplitude 1 volt. The fundamental frequency of the periodic waveform is 1/32 Hz. The filter is described by the transfer function below. 1 H(s)= a. Derive the Fourier series of x(t). b. Give the Fourier series of the output y(t), i.e., give Yk, at steady state. c. Give an equation that describes precisely the steady state output y(t) of the system.
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a To derive the Fourier series of the input signal xt we first express xt as a periodic rectangular pulse train Then we find its Fourier coefficients ... View the full answer
Related Book For
Auditing and Assurance services an integrated approach
ISBN: 978-0132575959
14th Edition
Authors: Alvin a. arens, Randal j. elder, Mark s. Beasley
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