DATE: 09.02 .2015

MAX. MARKS: 40 TIME: 9.20 AM to 10.20 AMPART A (4x2= 08 Marks)

Answer ALL questions

1Determine the z transform of x(n)={1,2, ^5,7,0,1}(CO1)(K2.)

2Differentiate inverse and z transform of step and impulse signal(CO1)(K1.)

3Convolute the signals X1(n)=X2(n)={1, ^1,1}using z transform(CO1)(K2.)

4Determine the ROC of the z-transform of the sequence y(n)=2nu(-n-1)(CO1)(K2.)

PART B (2x16=32 Marks)

Answer all questions

5(i) Find the inverse z transform of a. (z2 - 0.9z)/( z2 - 1.8 z ( 1) with ROC z > 1

b. 1/ ( z 2 (2) with ROC z < 2 (08) (ii)A LTI system is characterized by system function

H(z)= (3-4z-1)/(1-3.5z-1+1.5z-2) Specify the ROC of H(z) and determine h(n) for the following conditions (i)System is stable (ii)causal(iii)anticausal (08) (CO1)(K3.)

6Solve the difference equation y[n] = y[n 1] + 2y[n 2] + x[n] given the initial conditions y[1] = 1 and y[2] = 2 and the input signal x[n] = u[n]And also for input signal x[n] = [n](CO1)(K3.)

Aptitude Section (2x2=4)

7Assume that all mils are hils, some hils are jils, and some tils are rils. Therefore it makes sense that:

A: all mils are jils B: some hils are mils C: all tils are hils D: some jils are hils E: some mils are hils

8The officer received _____ official letter from _____ Ministry of IT in _____ Central Government. A) A, the, an C) An, the, the B) A, an, the D) An, an, the