Download JNTUH MBA 4th Sem 2018 May Financial Modeling Question Paper

Code: 20A05403

B.Tech II Year II Semester (R20) Supplementary Examinations December 2023

SIGNALS AND SYSTEMS

(Electronics and Communication Engineering)

Time: 3 Hours Max. Marks: 70

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

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2. Part A is compulsory and carries 20 marks.

3. Answer all questions in Part A.

4. Part B consists of 5 Units. Answer any one full question from each unit.

Each question carries 10 marks.

PART – A (Compulsory)

1. Answer all the following questions. (10 x 2 = 20 Marks)

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1. Define signal and system.
2. Find the Fourier series coefficients for x(t) = cos(ω₀t).
3. List the properties of the Fourier transform.
4. Define Hilbert Transform.
5. What is an LTI system?

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6. Define ROC of the Laplace transform.
7. What is the Z-transform of δ(n)?
8. State sampling theorem.
9. What is the relation between auto correlation and power spectral density?
10. Define noise bandwidth.

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PART – B

(5 x 10 = 50 Marks)

2. (a) Classify and explain different types of signals with examples.

(b) Determine whether the system y(t) = x(2t) is linear, time-invariant, causal and stable.

OR

3. (a) Approximate the function x(t) = t, 0 < t < 1 by a waveform of the form g(t) = c. Find the value of 'c' that minimizes the mean square error between x(t) and g(t).

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(b) Explain about orthogonality of signals.

4. (a) State and prove time shifting and frequency shifting properties of Fourier Transform.

(b) Find the Fourier transform of the rectangular pulse x(t) = A for |t| < T and x(t) = 0 for |t| > T.

OR

5. (a) Determine the Fourier series representation of the signal x(t) = cos(2πt) + sin(6πt).

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(b) Explain about the Dirichlet's conditions.

6. (a) Explain the properties of convolution.

(b) Find the transfer function and impulse response of an LTI system described by the differential equation dy(t)/dt + 2y(t) = x(t).

OR

7. (a) Explain the concept of distortion less transmission through a system.

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(b) Derive the relationship between bandwidth and rise time.

8. (a) State and prove initial value and final value theorems of Laplace transform.

(b) Find the Laplace transform of x(t) = e^-atu(t).

OR

9. (a) Determine the inverse Laplace transform of X(s) = (s+2)/(s² + 5s + 6).

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(b) Define and explain ROC of Laplace transform.

10. (a) State and prove properties of Z-transform.

(b) Determine the Z-transform of x(n) = aⁿu(n).

OR

11. (a) State and prove sampling theorem for band limited signals.

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(b) Explain the effects of under sampling.

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