Download JNTU Kakinada B.Tech 1-1 2013 Nov R10 ENVIRONMENTAL STUDIES Question Paper

Code: 13A05305

R13

JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

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

SIGNALS AND SYSTEMS

Time: 3 Hours Max. Marks: 75

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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.

PART - A (25 Marks)

1. 1. Define Signal and System. Give examples. [2M]
   2. Find the even and odd components of x(t) = e^-atu(t). [3M]

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   3. Define Fourier series. [2M]
   4. Write any three properties of Fourier transform. [3M]
   5. Define Hilbert Transform. [2M]
   6. Define Laplace Transform. [3M]
   7. Define Region of Convergence. [2M]

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   8. Define Z-transform. [3M]
   9. What is aliasing? [2M]
   10. Define convolution. [3M]

PART - B (50 Marks)

(Answer all five units, choosing one question from each unit.)

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1. UNIT - I

   1. Check whether the following signals are periodic or not.

      1. x(t) = 2cos(10t + 1) - sin(4t) - 1
      2. x[n] = cos(pn/2) - sin(pn/8) + 3cos(pn/4) [10M]

      OR

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   2. Determine whether the following system is linear, time-invariant, causal and stable

      1. y(t) = x(t) + tx(t-3)
      2. y[n] = x[n] + nx[n+2] [10M]

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2. UNIT - II

   1. Find the Fourier series of the signal x(t) = Acos(?₀t) for -T/4 < t < T/4 with period T. [10M]

      OR

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   2. State and prove properties of Fourier series. [10M]

3. UNIT - III

   1. Find the Fourier transform of the signal x(t) = te^-at u(t). [10M]

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      OR

   2. State and prove properties of Fourier transform. [10M]

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4. UNIT - IV

   1. Find the Laplace transform of the signal x(t) = e^-at sin?t u(t). [10M]

      OR

   2. State and prove properties of Laplace transform. [10M]

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5. UNIT - V

   1. Find the Z-transform of x[n] = n² u[n]. [10M]

      OR

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   2. State and prove properties of Z-transform. [10M]

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