Consider the following problems related to steady state and frequency responses (a) The input x(t)and the output y(t), x(t) 4 cos(2 Iuml t) 8 sin(3 Iuml t), y(t) 2 cos(2 Iuml t) Determine as much as possible about the frequency response H(j Icirc copy ) of the filter using the above input and outpu...

a The steady state is yt 4Hj2 cos2 t Hj2 8Hj3 cos3t 2 Hj3 ...

Consider the following problems related to steady state and frequency responses. (a) The input x(t)and the output

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Consider the following problems related to steady state and frequency responses.

(a) The input x(t)and the output y(t),ˆ’ˆž

x(t) = 4 cos(2Ï€ t) + 8 sin(3Ï€ t), y(t) = ˆ’2 cos(2Ï€ t).

Determine as much as possible about the frequency response H(jÎ©) of the filter using the above input and output.

(b) Given a LTI system with frequency response

|-1/2 N > 0 |H(jN)| = u(N +2) – u(N – 2), ZH(jN)= T/2 N< 0

If the input signal x(t)is periodic with Fourier series

x(t) = D E cos(3kt/2) k=1

calculate the steady-state response y_ss(t)of the system.

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Signals and Systems using MATLAB

ISBN: 978-0123948120

2nd edition

Authors: Luis Chaparro

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Question Posted: Dec 28, 2018 10:51 AM

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Consider the following problems related to steady state and frequency responses. (a) The input x(t)and the output

Question:

|-1/2 N > 0 |H(jN)| = u(N +2) – u(N – 2), ZH(jN)= T/2 N< 0 x(t) = D E cos(3kt/2) k=1

Step by Step Answer:

a The steady state is yt 4Hj2 cos2 t Hj2 8Hj3 cos3t 2 Hj3 ...View the full answer

Signals and Systems using MATLAB

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