Q7: Using the s-domain representation, find the transfer function H(s) and frequency response H (w) of following circuit. Also identify the region-of-convergence. R₁ R₂ x(0) :y(0

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Q7:
Q8:
Q9:
Using the s-domain representation, find the transfer function H(s) and frequency
response H (w) of following circuit. Also identify the region-of-convergence.
R₁
R₂
The input
x(0)
-1
x(t)
1 x(1)
G₁₂
is applied to a linear time-invariant continuous-time system with zero initial conditions
in the system at time t = 0. The resulting response is displayed in the Figure below.
Determine the transfer function H(s) of the system.
0
sint, 0≤t≤ n
-sint, n≤t≤ 2π
0, all other t
Graphically perform the convolution y(t) = x(t) = g(t) between following two
signals
C₂ :y(0
y(0)
T
7
0
a
g(1) 2
n
Transcribed Image Text:Q7: Q8: Q9: Using the s-domain representation, find the transfer function H(s) and frequency response H (w) of following circuit. Also identify the region-of-convergence. R₁ R₂ The input x(0) -1 x(t) 1 x(1) G₁₂ is applied to a linear time-invariant continuous-time system with zero initial conditions in the system at time t = 0. The resulting response is displayed in the Figure below. Determine the transfer function H(s) of the system. 0 sint, 0≤t≤ n -sint, n≤t≤ 2π 0, all other t Graphically perform the convolution y(t) = x(t) = g(t) between following two signals C₂ :y(0 y(0) T 7 0 a g(1) 2 n
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