B D1013 Pages: 3

Reg No.:_. Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FOURTH SEMESTER B.TECH DEGREE EXAMINATION(R&S), MAY 2019
Course Code: EC202
Course Name: SIGNALS & SYSTEMS

Max. Marks: 100 Duration: 3 Hours
PARTA
Answer any two full questions, each carries 15 marks. Marks
1 a) Given the signal x(t). Sketch the signals: (5)

(i) 2x(-2t+3) and (11) y(t) = x(t)d(t — 0.5) + x(t) d(t + 0.5)

b) Check whether the following signal is periodic or not. If periodic find the period. (3)
x(t) = 351೧2001 + 4 Cos 1007!
c) AnLTI system is characterized by the impulse response h(n) = [1,2,1]. Find the (7)
system response for the given input x(n) = [3, -1, 2,0,1].
2 a) Determine whether the following signal is energy or power signal and calculate its (4)
energy or power.
x(t) =cost
b) Mathematically analyse the following LTI system for stability and causality. (4)
h(n) =a"u(n), |6| > 1
€) AnLTI system has the impulse response h(n) = u(n) — u(n — 3). Find the (7)

output of the system to the input x(n) = 6 u(n).

3 ஐ Derive the relation between correlation and convolution between two sequences. (5)
Find the cross correlation of two finite length sequences x(n) = [1,3, 2, 2] and
y(n) = [1,2, 3,2].
b) Distinguish between causal and non-causal systems with suitable examples. (3)
c) Find the even and odd components of the following signals (7)

1) ©" 2) cost + sint +cost sint

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