D R5986 Pages: 2

Reg No.: Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
V SEMESTER B.TECH DEGREE EXAMINATION, DECEMBER 2018

Course Code: EE307
Course Name: SIGNAL AND SYSTEMS

Max. Marks: 100 Duration: 3 Hours
PART A
Answer all questions, each carries5 marks. Marks
1 Check whether the discrete-time system ന JO x n[ 211 dynamic, causal and (5)

time invariant.

2 Solve the differential equation "+2 = ‏وو‎ (0) = 0 using Laplace (5)
transform method.

3 Find the Fourier transform of x ॥() ‏لا‎ u ॥() (5)

4 An analog signal is expressed by ‏علطا‎ equation (5)
x t() 01505506 2155113000 O10sin1000t . Calculate the Nyquist rate

(minimum sampling rate) in Hz for this signal.

5 Find the z-transform of x 1[ ‏لا[‎ cos(Onun)() . (5)
6 State and prove the time shifting property of Z-transform. (5)
7 State and prove time reversal property of discrete time Fourier series (DTFS). (5)
8 Describe random signals with examples. (5)
PART B
Answer any two full questions, each carries 10 marks.
9 a) Check whether the following signals are periodic or not. If periodic, find the (5)
period.
20 20
jon joo
1) >+ t()O sin 0.501 0 cos0.5t ii) [8] € *Oe >
b) Find the odd and even parts of the signal x t() 010 1 ‏لا‎ Ot 3t? St 014
(5)
10 Draw the pole-zero plot of the following function in s-domain and hence find (10) the time
domaititesponse. `
F(s) 0 7
$ 8( 12512)
11 a) Determine whether the system y n{ JU Un ‏]ضع‎ [ 15 i) linear 11) time invariant
(5)

iii) dynamic and iv) causal.

b) Derive the condition for causality and stability in terms of impulse response of

(5)