Jaypee Institute of Information Technology (JIIT) 2008 B.E Electronics & Tele-Communication Engineering Test 3 : Digital Signal Processing - Question Paper

JAYPEE UNIVERSITY OF INFORMATION TECHNOLOGY, WAKNAGH AT

Test-3

B.Tcch (ECE), V Semester

bourse Code: 07B51ECT10 Max Time: 1 hr 30 min Course Name: Digital Signal Processing__Max Marks: 60

Note: Attempt all questions. Maximum marks will he scale down to 30.

Ql. (a) Consider the finite duration signal x(n)=(l. 2, 2, Ucompute ihe tour poini DFT, using its definition.

<b) Determine the impulse response h(n) of the system described by following difference equation:

>(> = x(n) + 2j(rt - I) - >t -1)    |6+6]

OR

Determine the output y(n) of a system whose impulse response h(n) is given bv:

h(n)={*U,-l>

to an input x(n)-{l,2.3.4,5,6,5,4,3,2,1,1,2,3,...}which is periodic with Nl I, by using overlap add method.    (12)

02. Obtain an expression for the unit sample response [h<n)J of an ideal FIR low pass filter and discuss the magnitude response realized with Hamming window. AisoNuitc necessary expressions for time domain and frequency domain response for this window.    j j 2|

Q3. Design a digital filter using Bessel filter (analog) transfer function

#(*)*5;- Employ a sampling frequency <y, =1 rad/sec.    1121