Other Bachelor Degree- SIGNALS AND SYSTEMS (Karunya University, Coimbatore-2010)
Saturday, 24 August 2013 04:38anudouglas
Karunya University
(Karunya Institute of Technology and Sciences)
(Declared as Deemed to be University under Sec.3 of the UGC Act, 1956)
End Semester Examination – November/December 2010
Subject Title: SIGNALS AND SYSTEMS Time: 3 hours
Subject Code: 09IT207 Maximum Marks: 100
Answer ALL questions
PART – A (10 x 1 = 10 MARKS)1. Give the mathematical representation of continuous time and discrete time signal.
2. Define unit step function.
3. Give the convolution sum expression.
4. Give the condition on h(t) for a causal system.
5. Define frequency response.
6. Draw the frequency response of an ideal LPF.
7. When does aliasing occur?
8. Define system function.
9. Define unilateral Z transform.
10. Define ROC related to Z transform.
PART – B (5 x 3 = 15 MARKS)
11. List the different transformation that can be performed on the independent variable of signal.
12. State the different laws a convolution must satisfy.
13. Give the mathematical representation of first order continuous time and discrete time system. Also obtain the frequency response.
14. State and prove the unilateral Laplace transform of .
15. Mention the different ways to obtain the inverse Z transform.
PART – C (5 x 15 = 75 MARKS)
16. a. Briefly explain the three types of continuous time signals. (6)
b. A discrete time signal is defined by (9)
x(n) = . Sketch and label carefully each of the following
i) x(n-2) (ii) x(-n+4) (iii) x(n)u(-n+2) (iv) x(n-1)δ(n-3)
(OR)
17. a. Explain the three transformations on independent variable of continuous time signal with example. (9)
b. Check whether the following signals are energy signal or not (6)
i) x(t) = e-3t u(t) ii) x[n] =
[P.T.O]
18. a. Find the response of the system whose impulse response is {1, 2, - 1, 3} and the excitation is {1, 2, 1} by using graphical method. (10)
b. The unit sample response of a system is. Check whether the system is causal and stable. (5)
(OR)
19. Explain the properties of LTI systems.
20. The output y(t) of a causal LTI system is related to the input x(t) by the differential equation .
a. Determine the frequency response of this system
b. If x(t) = e-t u(t) determine Y(jω), the Fourier transform of output.
c. Using the technique of partial fraction expansion technique, determine the output y(t) for the input in (b)
d. Repeat part (b) and (c) if the input has the Fourier transform
(OR)
21. Explain the behavior of first order and second order system with the help of a difference equation and input signal.
22. a. With the help of a block diagram, explain about the discrete time processing of continuous time signal. (9)
b. Find the output of a system described by the differential equation is response to the input x(t) = 3e-2t u(t) and the initial condition y(0) = -2. (6)
(OR)
23. a. With the help of neat sketch and expression, explain about sampling of discrete time signal. (6)
b. Consider a continuous time LTI system for which input and output are related by the differential equation. Determine H(S). Sketch pole and zero pattern of H(S). Determine h(t) if (i) the system is stable (ii) the system is causal (iii) the system is neither stable nor causal. (9)
24. a. State and prove any four properties of Z transform. (8)
b. Find the inverse Z transform of by using partial fraction expansion technique. (7)
(OR)
25. a. Find the impulse response and step response of the system characterized by the input output equation (12)
b. State and prove the time shifting property of unilateral Z transform. (3)
| Earning: ₹ 0.00/- |
