B.Tech II Year I Semester Examinations, November - 2023

SIGNALS AND SYSTEMS

(Electronics and Communication Engineering)

Time: 3 hours

Max. Marks: 70

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Note: 1. Question paper consists of two parts A and B.

2. Part A is compulsory, which carries 20 marks.

3. Answer all questions of Part A.

4. 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

(10 * 2 = 20 Marks)

1. a) Define signal and system.

   b) Write the properties of the impulse function.

   c) Define Fourier series.

   d) Define Fourier Transform.

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   e) Define Laplace transform.

   f) Write any two properties of ROC of Laplace Transform.

   g) Define Z-transform.

   h) Find the Z-transform of ?(n).

   i) Define sampling theorem.

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   j) Write any two advantages of digital signal processing.

PART - B

(5 * 10 = 50 Marks)

UNIT - I

1. 2. a) Explain classification of signals.

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

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   OR

2. 3. a) Explain the elementary signals with examples.

   b) Explain the properties of systems.

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UNIT - II

1. 4. a) Derive Fourier series for periodic signal.

   b) Determine the Fourier transform of the gate function.

   OR

2. 5. a) Explain the properties of Fourier transform.

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   b) Determine the Fourier transform of x(t) = e^-at u(t)

UNIT - III

1. 6. a) Explain properties of Laplace transform.

   b) Determine the Laplace transform of x(t) = e^-at sin ?t u(t)

   OR

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2. 7. a) Explain the relation between Laplace and Fourier transforms.

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

UNIT - IV

1. 8. a) Explain properties of Z-transform.

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   b) Find the Z-transform of the sequence x(n) = aⁿ u(n)

   OR

2. 9. a) Explain the relation between Z-transform and Fourier transform.

   b) Determine the inverse Z-transform of X(z) = z/(z-1)(z-2)

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UNIT - V

1. 10. a) Explain sampling theorem for band limited signals.

   b) Explain the effects of under sampling.

   OR

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2. 11. a) Explain different types of filters.

   b) Explain the applications of signal processing.

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