D 06000EE307122002 Pages: 2

Reg No.: Name:
APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
Fifth Semester B.Tech Degree Examination (Regular and Supplementary), December 2020

Course Code: EE307
Course Name: SIGNALS AND SYSTEMS

Max. Marks: 100 Duration: 3 Hours
PARTA
Answer all questions, each carries 5 marks. Marks
1 Suppose x(t) = ar where r(t) denotes unit ramp signal. Plot the following (5)

a?
signal x[t + 4]21-1- 4].

2 Comment on the stability of the system with impulse response given by (5)
h(t) = )2 + 00. where u(t) is unit step signal.

3 State the necessary conditions for the existence of Fourier Transform. Find the (5)
FT of x(t) = te“u(t).

4 Explain the process of signal reconstruction of a sampled signal. Derive the (5)
transfer function of zero order hold?

5 Determine the z transform of x[n] = வியாபி — b"u[-n-1] and find the ROC if (i) (5)

a>b and (ii) a
6 Explain briefly the mapping of s-plane to z-plane? Show the mapping of (5)
stability regions in s-plane and z-plane.
7 Find the Fourier series coefficients of the discrete signal x[n] = cos (En)? (5)
8 Write any five properties of nonlinear systems. (5)
PART ‏تا‎
‎Answer any two full questions, each carries 10 marks.
9 Comment on the linearity, causality, time-invariance and memory of a system (10)

which finds the odd component of a given signal x(t), that is, y() = odd(x(t)).
10 a) Consider an LTI system with impulse response h(t) = u(t + 3). Find the output (5)
y(t), for an input x(t) = 3൮൧.
b) Find the fundamental period and frequency of the signal (5)

x(t) = 6sin 247 8 sin 3677.

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