SRM University 2007 B.Tech Electronics and Communications Engineering BANK : Signals and Systems - Question Paper
Wednesday, 30 January 2013 07:25Web
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6. obtain the Fourier coefficients for the CT periodic signal x(t)= 1.5 for 0
7. obtain the Fourier Transform of the subsequent and sketch the magnitude and phase spectrum.
(i) x(t)=?(t)
(ii) x(t)=e-at u(t)
8. obtain the inverse Fourier Transform of the subsequent
(i) ?(?)
(ii) ?(?-?o)
9. obtain the Fourier Transform of the subsequent
(i) x(t)=cos ?ot
(ii) x(t)=sin ?ot
10. obtain the Fourier Transform of the subsequent
(i) e at u(-t)
(ii) te-at u(t)
11. obtain the Fourier Transform of the subsequent
(i) e j?o t u(-t)
(ii)cos ?ot u(t)
12. Prove F[Sin(?o t) u(t)] = {?o /( ?o two - ?2 )}+ (?j/2)[ ?(?+?o)- ?(?-?o)]
13. obtain the Fourier Transform of x(t)=1-e-?t? cos ?ot
14. obtain the inverse Fourier Transform of the subsequent
(i) j?/(3+j?)2
(ii)e -???
Unit – III
Part – A
1. Define region of convergence of a Laplace transform.
2. What is the conditions for existence of Laplace transform?
3. How to find Fourier transform from its Laplace transform?
4. Find the Laplace transform of e-at u(t).
5. State bilateral and unilateral Laplace transform.
6. State the conditions for a region of convergence of a i) Causal signal b) non-causal.
7. State initial value theorem of Laplace transform.
8. State final value theorem of Laplace transform.
9. State frequency convolution.
10. Find initial value, if they exists using Laplace transform for S + 5/S2 + 3S + 2.
11. State time shifting properly of Laplace transform.
12. State inverse Laplace transform.
13. Define total response of a system.
14. Define steady state and transients response.
15. What is the laplace transform of a zero state response?
16. Derive the transfer function of a ideal differentiator using laplace transform
17. Define poles and zeros of a transfer function.
18. What is the condition for the stability of a system?
19. What is the relation ranging from Fourier transform and laplace transform.
20. Define state of a system.
21. Define convolution integral of two signals.
22. Define step response of an LTI – CT system using convolution integral.
| Earning: Approval pending. |
