Download PTU B.Tech 2020 March ECE 4th Sem BTEC 402 Signal And Systems Question Paper

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Roll No. [ ] Total No. of Pages : 02
Total No. of Questions : 09

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INSTRUCTION TO CANDIDATES :

1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students have to attempt any TWO questions.

SECTION-A

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1. Answer briefly :
   1. Differentiate Energy and power signals.
   2. Explain joint and conditional probability with example.
   3. What is power spectral density?
   4. Discuss the spectrum of continuous time signals.
   5. Define sampling theorem.

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   6. What is meant by difference equation?
   7. Explain Ergodic process.
   8. What is central limit theorem?
   9. What is LTI system? Explain with the help of example.
   10. Discuss random processes.

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SECTION-B

1. Define Signal. Discuss the classification of signals with suitable example.
2. Determine the Fourier Transform of the unit step function u (t).
3. Discuss the convolution integral representation of LTI system.

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4. Discuss the properties of Fourier transform and prove at least four of them.
5. Derive a relationship for transmission of random processes through linear system.

SECTION-C

1. What is DTFT? Discuss various properties of DTFT.
2. 1. Calculate the Z- transform of : x(n) = aⁿu(-n —1)

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   2. Find the system function H(z) and unit sample response h(n) of the system whose difference equation can be described by y(n) = (1/2)y(n-1) + 2x(n), where y(n) and x(n) are the output and input of system.
3. Explain in detail the representation of a signal using complex exponential Fourier series.

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