Other Bachelor Degree- SIGNALS AND SYSTEMS (Karunya University, Coimbatore-2012)

Reg. No. ________                                                                                                                                                      

Karunya University

(Karunya Institute of Technology and Sciences)

(Declared as Deemed to be University under Sec.3 of the UGC Act, 1956)

 

Supplementary Examination – June 2012

 

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.         List the properties of a System.

2.         Define a Unit Step Signal.

3.         Write the formula to compute Convolution Sum.

4.         When is a LTI system said to be Causal?

5.         What is meant by frequency response of the system?

6.         Define an Ideal Filter.

7.         State the Sampling Theorem.

8.         Find the Laplace Transform of the signal x(t) = e^-atu(t).

9.         State the Parseval’s Theorem.

10.       Give any three methods to calculate inverse Z-transform.

 

PART – B (5 x 3 = 15 MARKS)

 

11.       Give some applications of signals and systems.

12.       Find the Convolution of x(n) = 2ⁿ u(-n) and h(n) = u(n).

13.       Write about Group Delay.

14.       Find the Laplace transform and ROC of x(t) = - e^-atu(-t).

15.       Find the Final value of the signal X(Z) = 1/(1+2Z^-1-3Z^-2).

 

PART – C (5 x 15 = 75 MARKS)

 

16.       Determine whether the following signals are Energy or Power Signal,

            a.         x(t) = e^-3t u(t)               b.         x(t) = cost                                                                                                                                            (8+7)

(OR)

17.  Check whether the following systems are Linear or Non-linear, Causal or Non-causal and Time invariant or Time variant system,

       a.  y(n+2) = a x(n+1) + b x(n+3)              b.         y(n) = n x(n)                                                                                 (8+7)

 

18.  Find the Convolution for the following signal, 

       a.  x(t) = e^-at u(t); h(t)  = e^-bt u(t)   b.         x(t) = t u(t); h(t) = u(t)                                                                             (8+7)

(OR)

19.       Find the Convolution of  x(n) = {1,2,3,1} and h(n) = {1,1,1} by graphical method.

 

20.       Explain the Time-Domain and Frequency Domain aspects of Non-Ideal filters.

(OR)

21.       What is meant by filtering? Explain about Frequency-Selective filters.

 

22.       Explain about Sampling and the Effect of Aliasing.

(OR)

23.  For the differential equation  d²y/dt² + 3(dy/dt) + 2y = x with initial conditions,    y(0⁺) = 3 and dy(0⁺)/dt = -5 and x(t) = 2u(t). Find the output response.

[P.T.O]

 

24.  Find the Inverse Z-Transform using Partial fraction method,

       a.  X(Z) = 1/((1 - 0.25Z^-1)(1 - 0.1Z^-1))                  b.         H(Z) = (Z+1)/(3Z² - 4Z+1)                                   (7+8)

(OR)

25.  Obtain the Cascade and parallel form realization of the system described by the difference equation y(n) – (1/4)y(n-1) – (1/8)y(n-2) = x(n) + 3x(n-1) + 2x(n-2).

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