Download AKTU B-Tech 3rd Sem 2015-2016 NHU 301 Industrial Psychology Question Paper

Code: 13A05402

B.Tech II Year II Semester (R13) Regular Examinations May/June 2015

SIGNALS AND SYSTEMS

(Common to ECE & EIE)

Time: 3 hours Max. Marks: 70

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Answer all five units

UNIT – I

1. (a) Explain the classification of signals with examples.
   (b) Determine whether the following signals are periodic or not. If periodic, find the fundamental period.
   1. x(t) = 3 cos(4t + p/3)
   2. x(t) = cos(t) + sin(v2 t)

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   (OR)

2. (a) Explain about elementary signals.
   (b) Determine whether the system described by the equation y(t) = x²(t) is:
   1. Memory less
   2. Causal

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   3. Linear
   4. Time invariant

UNIT – II

3. (a) State and prove properties of Fourier series.
   

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   (b) Find the Fourier series for the function x(t) = t, -p < t < p.

   (OR)

4. (a) Explain about the symmetry conditions of Fourier series.
   (b) Determine the Fourier series of the signal x(t) = A cos(?₀t).

UNIT – III

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5. (a) State and prove properties of Fourier transform.
   (b) Find the Fourier transform of x(t) = e^-at u(t).

   (OR)

6. (a) Explain about energy spectral density and power spectral density.
   (b) Find the Fourier transform of a gate function.

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UNIT – IV

7. (a) Explain about the concepts of sampling.
   (b) Find the Nyquist rate and Nyquist interval for the signal x(t) = sinc(200t).

   (OR)

8. (a) State and prove sampling theorem.
   

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   (b) Explain about reconstruction of signals from its samples.

UNIT – V

9. (a) Explain about ROC properties of Laplace transform.
   (b) Find the Laplace transform of x(t) = e^-at u(t).

   (OR)

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10. (a) Explain about the relation between Laplace and Fourier transforms.
    (b) Find the inverse Laplace transform of X(s) = 1/(s² + 3s + 2).

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