Jaypee Institute of Information Technology (JIIT) 2008 B.E Computer Science Test 1 : Signals & Systems CSE - Question Paper
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
(4|
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: |
Earning: Approval pending. |