Amrita Vishwa Vidyapeetham 2009 B.Tech Electronics and Communications Engineering Signals and Systems internal 1 - Question Paper

Amrita Vishwa Vidyapeetham

Amrita School of Engineering, Amritapuri

First Periodical Examination, August 2008

EC203 Signals and Systems

Common to S3 ECE & EEE

 

Time: 2 hours Maximum Marks: 50 (Answer all the questions)

 

1.        Sketch the even and odd components of the following signal.

(3)

 

2. Find whether the following siganls are periodic or non periodic.If periodic,find the fundamental period.

(4)

 

1. 
2. 

 

 

3. Find. (2)
4. Consider the continuous time signal .Calculate the energy of the signal y(t) if

(3)

5. Represent the following signals

(4)

a.

b.

 

6. For the signal x(t) given below,

(6)

 

Find

(i)

(ii)

 

7. Represent unit step signal in terms of unit impulse signal, both in Continuous time as well as in Discrete time.

(2)

8. State whether the signal represented by is conjugate symmetric or antisymmetric.Why?

(3)

9.        Determine the range of values for the parameter a for which the linear time invariant system described byis stable

(2)

 

10.    For the discrete time signal x[n] given in figure, Find x[2n]

(3)

11. Check the following systems for Causality and Memory. (6)

(i)          y(n) = x(-n)

(ii)               y(n) = x(n²)

 

12. Check the following system for Linearity. Include necessary steps if needed.

(3)

y (n) = Mx(n) + C

13. Check the system represented by the input- output relation for time invariance. (3)

 

14. Find the reponse of LTI system with an impulse response h(n) = {1 , 2 ,4 ,1} to an input x(n) = { 2 ,3,1}.

(6)