Reg. No.
B.E. B.Tech. DEGREE EXAMINATION, MAY 2017
Fourth Semester
Electronics and Communication Engineering
01UEC404 SIGNALS AND SYSTEMS
(Regulation 2013)
Duration: Three hours Maximum: 100 Marks
Answer ALL Questions.
PART A (10 x 2 20 Marks)
1. Define step signal.
2. Differentiate between deterministic and random signal.
3. State and prove Parseval's theorem for Fourier transform.
4. Give synthesis and analysis equations of continuous time Fourier transform.
5. Define the region of convergence of the Laplace transform.
6. Define and 'state-variables'.
7. Prove the time shifting property of discrete time Fourier transform.
8. What is aliasing?
9. What is the z-transform of
10. Find the system function for the difference equation 0.5y(n-1)
PART B x 16 80 Marks)
11. Sketch the following type of signals: and
Question Paper Code: 31444
2
31444
Or
Explain the classification of signals in details.
12. Obtain the trigonometric Fourier series for the half wave rectified sine wave.
Or
Prove the scaling and time shifting properties of Fourier transform.
Find the Fourier transform of f t c sin
13. Obtain the inverse Laplace transform of the function

Or
Determine the inverse Laplace transform of
3
2
1 3
2 3 3



s s
s s
F s and explain the
state variable technique.
14. State and prove the time shift and frequency shift property of DTFT.
Or
State and explain sampling theorem and also explain the process of reconstruction of
the signal from its samples.
15. Find the impulse response and step response for the following system
Y 3 4 y 1 8 y 2 x .
Or
Find the convolution sum between and