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Download AKTU B-Tech 3rd Sem 2015-2016 NCS 302 Discrete Structures And Graph Theory Question Paper

Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU) B-Tech 3rd Semester (Third Semester) 2015-2016 NCS 302 Discrete Structures And Graph Theory Question Paper

This post was last modified on 29 January 2020

Tags:AKTUB-TechPrevious Year Question Papers2015-20163rd SemNCS-302Discrete StructuresGraph TheoryQuestion PaperPDFDownloadDr. A.P.J. Abdul Kalam Technical University
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AKTU B-Tech Last 10 Years 2010-2020 Previous Question Papers || Dr. A.P.J. Abdul Kalam Technical University


B.Tech II Year II Semester Examinations, May - 2019

SIGNALS AND SYSTEMS

(Common to ECE, ETM)

Time: 3 hours Max. Marks: 75

Note: This question paper contains two parts A and B.

Part A is compulsory which carries 25 marks. Answer all questions in Part A.

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Part B consists of 5 Units. Answer any one full question from each unit. Each question carries 10 marks.

PART - A (25 Marks)

    1. Define Signal and System. (2M)
    2. Write any two properties of the Fourier transform. (3M)
    3. State the Dirichlet's conditions for the existence of Fourier series. (2M)
    4. Define Laplace transform. (3M)

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    5. What is aliasing effect? (2M)
    6. Define Z-transform. (3M)
    7. Find the condition for the system y(t) = x(t-t0) to be causal and stable. (2M)
    8. What is an LTI system? (3M)
    9. Define autocorrelation. (2M)

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    10. Write any two properties of the ROC of the Z transform. (3M)

PART - B (50 Marks)

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

UNIT - I

  1. a) Explain different types of signals with examples. (5M)
    b) Determine whether the following signals are periodic or not. If periodic determine the fundamental period.

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    i) x(t) = 2cos(t/3) + 4sin(t/4) (2.5M)
    ii) x(n) = cos(pn/2) - sin(pn/4) (2.5M)
    OR
  2. a) Explain the concept of signal approximation using orthogonal functions. (5M)
    b) Define the terms: i) Even and odd signals ii) Energy and power signals. (5M)

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UNIT - II

  1. a) Find the Fourier transform of the gate function defined by (5M)
    x(t) = A for -T/2 = t = T/2
    = 0 Otherwise
    b) State and prove time scaling property and convolution property of Fourier Transform. (5M) OR

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  2. a) Find the Fourier series coefficients of the signal x(t) = Acos?0t. (5M)
    b) Determine the Fourier transform of x(t) = e-atu(t) and sketch the magnitude and phase spectra. (5M)

UNIT - III

  1. a) Explain properties of Laplace transform. (5M)
    b) Find the Laplace transform of the signal x(t) = t2e-atu(t). (5M) OR

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  2. a) Determine the Laplace transform of the signal x(t) = e-2tu(t) + e-3tu(t). (5M)
    b) Find the inverse Laplace transform of X(s) = 1/(s(s+1)). (5M)

UNIT - IV

  1. a) Explain the properties of convolution. (5M)
    b) Find the convolution of x(t) = e-tu(t) and h(t) = u(t). (5M) OR

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  2. a) Explain the concept of filtering. (5M)
    b) Define causality and stability for an LTI system. (5M)

UNIT - V

  1. a) Determine the Z-transform of x(n) = anu(n). (5M)
    b) State and prove sampling theorem. (5M) OR

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  2. a) Find the inverse Z-transform of X(z) = z/(z-1)(z-2) with ROC: |z|>2. (5M)
    b) Explain the properties of the Z-transform. (5M)

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This download link is referred from the post: AKTU B-Tech Last 10 Years 2010-2020 Previous Question Papers || Dr. A.P.J. Abdul Kalam Technical University

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This post was last modified on 29 January 2020