11 a)

b)

12

13 a)

b)
௦)

14

06000EE307122001

Determine the response of the LTI system described by the differential equation (5)

d’y(t) , ‏0و‎
‎ക്രാ
‎⋅ −−⇄∁ Gi _ dy(t) _
due to the input x(t) = e “‘u(t). Given that y(0) = 1 and “at leo = 1
Plot the pole-zero diagram of the system given by the transfer function (5)

5+3
53 + 752 + 245 + 8
Also specify the ROC for this system is causal and stable, Justify your answer.
PART C
Answer any two full questions, each carries10 marks.
Obtain the trigonometric Fourier series coefficient of the periodic function (10)

X(s) =

shown below.

ர மாடா ~. x(t)

0.5

Fig.1
Find the frequency response and impulse response of the system described by (5)
the differential equation

5 08 2 + ஒடு = ‏ہر‎
‎Explain aliasing. (2)
An analog signal is expressed by the equation, x(t) = 3cos(10mt) +sin(SOnt). (3)
Calculate the Nyquist rate in Hz for this signal.
Consider an LTI system with unit impulse response (10)
A[n] = B"uln], || ಆ 1
Compute the output signal y[n] for an input

x[n] = ul[n + 12] - 2070 + 4] + ம[௩- 7].

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