Download AKTU B-Tech 3rd Sem 2018-2019 Signals And Systems Rec 303 Question Paper

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Printed Pages: 01 Subject Code: REC 303

Paper Id: 130303 Roll No.

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Time: 3 Hours Total Marks: 70

B TECH

(SEM-III) THEORY EXAMINATION, 2018-19

SIGNALS AND SYSTEMS

Note: 1. Attempt all Sections. If require any missing data; then choose suitably.

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SECTION A

1. Attempt all questions in brief. 2 x 7 = 14

1. Distinguish between energy and power signal.
2. Define power spectral density
3. Explain significance of convolution in a communication system.

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4. What are advantages of Laplace transform?
5. What are the limitations of Fourier transform?
6. Define a signal
7. What is interpolation in sampling?

SECTION B

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2. Attempt any three of the following: 7 x 3 = 21

1. Classify signals according to signal characteristics.
2. Explain the principle of linearity of DT system.
3. Explain the following properties of Fourier transform: time scaling, conjugate functions.
4. State and prove initial and final value theorem of Laplace transform

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5. State and prove sampling theorem

SECTION C

3. Attempt any one part of the following: 7x1=7

1. What is Shannon's sampling theorem? Also discuss aliasing by taking an example.
2. Explain the impulse train sampling of discrete time signals.

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4. Attempt any one part of the following: 7x1=7

1. State whether the following signals x (t) is periodic or giving reasons. If it is periodic, find the corresponding period.
   X (t) = 2 cos 100 pt + 5 sin 50 t
2. For an LTI system with unit impulse response h(t)= e^-tu(t). Determine the output to the input x(t)= e^tu(t)

5. Attempt any one part of the following: 7x1=7

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1. Find the energy spectral density of f(t) = e^-st u(t)
2. Find impulse response of system described by the equation 2y'(t) + 3y(t) = x(t)

6. Attempt any one part of the following: 7x1=7

1. State and prove frequency shifting theorem of DTFT.
2. Explain Fourier transform of single sided exponential pulse.

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7. Attempt any one part of the following: 7x1=7

1. Find Laplace transform of following signal and Draw ROC x(t) = cos (3t+ p/4) u(t)
2. Determine z transform of: x(n) = sin n u(n)

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