Download AKTU B-Tech 8th Sem 2014-15 EEC 069 Multimedia Systems Question Paper

Code: 13A05305

JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

B. Tech II Year I Semester Examinations, November/December - 2016

SIGNALS AND SYSTEMS

(Common to EEE, ECE, ETM)

Time: 3 Hours Max. Marks: 75

Note: This question paper contains two parts A and B.

Part A is compulsory which carries 25 marks. Answer all questions in Part A. Part B consists of 5 Units. Answer any one full question from each unit. Each question carries 10 marks.

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PART - A (25 Marks)

1. 1. Define signal and system. Give examples. (2M)
   2. Define Hilbert transform. (3M)
   3. Define transfer function of an LTI system. (2M)
   4. What is aliasing? How can it be prevented? (3M)
   5. State sampling theorem for band limited signals. (2M)

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   6. Define energy and power signals. (3M)
   7. State the properties of convolution. (2M)
   8. Write Parseval’s relation for continuous time signals. (3M)
   9. Define region of convergence (ROC). (2M)
   10. What is the relation between Laplace and Fourier transform? (3M)

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PART - B (50 Marks)

1. 2.a) Determine whether the signal x(t) = cos(t) + sin(2t) is periodic or not. If periodic determine its fundamental period.

   b) Explain orthogonality property between two complex functions f1(t) and f2(t).

   (OR)

   3.a) Explain the properties of unit impulse function.

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   b) Find the exponential Fourier series for the function x(t) = A for 0 = t = T/2, -A for T/2 = t = T.

2. 4.a) Find the Fourier transform of the gate function defined by

   x(t) = A for -T/2 = t = T/2 and 0 otherwise.

   b) State and prove time scaling property of Fourier transform.

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   (OR)

   5.a) Determine the Fourier transform of x(t) = e^-at u(t), a > 0.

   b) Explain properties of Fourier transform.

3. 6.a) Distinguish between Linear Time Invariant (LTI) system and Linear Time Variant (LTV) system.

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   b) Find the transfer function of the system described by the differential equation d²y(t)/dt² + 5dy(t)/dt + 6y(t) = x(t)

   (OR)

   7.a) Find the convolution of the signals x(t) = e^-t u(t) and h(t) = u(t).

   b) Explain the causality and stability conditions for LTI systems.

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4. 8.a) State and prove sampling theorem for band limited signals.

   b) Explain the effects of under sampling.

   (OR)

   9.a) Explain the process of reconstruction of signal from its samples.

   b) What is band pass sampling? Explain.

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5. 10.a) Find the Laplace transform of x(t) = t sin(at) u(t).

   b) Find the inverse Laplace transform of X(s) = 1/(s+1)(s+2)

   (OR)

   11.a) Determine the Laplace transform of the signal x(t) = e^-at sin(?t) u(t).

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   b) Explain properties of ROC of Laplace Transform.

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