Jaypee Institute of Information Technology (JIIT) 2008 B.E Computer Science Test 1 : Signals

JAYPEE UNIVERSITY OF INFORMATION TECHNOLOGY.WaKNAGHAT

Test-1 Sem. 4* (CS&IT)

Course: Signals & Systems    Max. Marks: 20

Course Code: EC 104    Max. Time: 60M

yott: Attempt all questions.

1.    a) Explain with example the sampling property of Ihe delta function,

b) Check the linearity of the following system:

(O+/(O*l0

C) Define these terms: i) sy stem transfer function, ii) svstem characteristic equation.

12+1+11

2.    a) If. u,(r) =

at

and tr,(r) cos2r Write }(/) in the form of K,sin(iw and determine the numerical value of r,,and.    12|

b) If the signal v,(/) has been defined as follows: v,(/> = 0    far t< 0

- vj Jar OSfSl

0    for t >1

Then plot signal v,(/) that has following expression:

*j(0 = v,(/ - 2) - 0.5 v, - 3) - 0.5v, (i - d)

Assume value of equal to 1.    |2|

3.    Write the mathematical /(r) for the signal shown below:

I

b*''\

.xi    

Find ihe mathematical expression for and plot it.    (2+2]

4. Find the Ipiace transform of the following periodic waveform: I

Cl -I

5. When the voltage signal v(t) of unit height is applied across the scries R-L circuit for the unit duration only. Calculate, the expression of current i(t) in the circuit using Laplace transform. Plot the complete curve for i(t) versus (.    |4|

Attachment: jaypee-institute-of-information-technology--jiit--2008-b-e-computer-science-21289-1.jpg

Earning:   Approval pending.