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EndsemNov 20252019 patternSE E&TC

Signals and Systems SPPU Endsem Question Paper Nov 2025

All 8 questions from this SPPU endsem paper, as printed. Read them here or open the PDF.

Subject code
204191
Pattern
2019 pattern
Exam
Endsem
Session
Nov 2025
Max. marks
70
Time
2½ Hours
Semester
IV
Paper code
[6582]-21

Printed for: S.E. (Electronics/E&Tc/Electronics & Computer /

Instructions to the candidates

  1. Solve Q.1 or Q.2, Q.3 or Q.4, Q.5 or Q.6, Q.7 or Q.8.
  2. Assume suitable data if necessary.
  3. Figures to the right indicate full marks.

Questions

  1. Q1

    1. a)

      State the following properties of CT Fourier Series. i) Linearity ii) Time shifting iii) Convolution Also, give physical significance of above properties.

      [6]
    2. b)

      Find the Trignometric Fourier series for the bidirectional symmetric square waveform shown below.

      [6]
    3. c)

      State and Explain Dirichlet conditions for the existance of Fourier Series.

      Also asked:May 2024

      [6]
  2. Q2

    1. a)

      Write a short note on Gibb's phenomenon for Fourier series.

      [6]
    2. b)

      Check whether the two signals sin(wt) and cos(2wt) are orthogonal to each other.

      Also asked:May 2024

      [6]
    3. c)

      Find the exponential FS for the periodic signal shown below.

      [6]
  3. Q3

    1. a)

      This part has equations that don’t show as text. Open the PDF to read it.

      [6]
    2. b)

      This part has equations that don’t show as text. Open the PDF to read it.

      [6]
    3. c)

      State and explain the physical significance of following CTFT properties. i) Time scaling ii) Modulation iii) Time Differentiation

      [5]
  4. Q4

    1. a)

      Find the Fourier Transform of a signal shown below.

      [6]
    2. b)

      This part has equations that don’t show as text. Open the PDF to read it.

      [6]
    3. c)

      Define magnitude response and phase response. Explain with one example.

      Also asked:May 2025 ·May 2024

      [5]
  5. Q5

    1. a)

      Define ROC in Laplace Transform. Also, state the properties of ROC.

      [6]
    2. b)

      This part has equations that don’t show as text. Open the PDF to read it.

      [6]
    3. c)

      This part has equations that don’t show as text. Open the PDF to read it.

      [6]
  6. Q6

    1. a)

      This part has equations that don’t show as text. Open the PDF to read it.

      [6]
    2. b)

      Find the Laplace Transform of given periodic signal.

      [6]
    3. c)

      Compare Fourier Transform and Laplace Transform.

      Also asked:May 2025 ·May 2024

      [6]
  7. Q7

    1. a)

      State and Explain properties of PDF and CDF.

      Also asked:May 2025

      [6]
    2. b)

      Two dice are thrown simultaneously. Find the probability of following: i) Throwing a sum of 11 ii) Throwing two 7's iii) Throwing a pair

      [6]
    3. c)

      This part has equations that don’t show as text. Open the PDF to read it.

      [5]
  8. Q8

    1. a)

      This part has equations that don’t show as text. Open the PDF to read it.

      [6]
    2. b)

      A coin is tossed three times. A random variable X which represents the no. of tails. Obtained after the toss. Find the probabilities of X and plot the CDF.

      [6]
    3. c)

      Write a short note on uniform Distribution Function. 

      [5]