Download PTU B-Tech EEE 2020 Dec 4th Sem 77609 Signals And Systems Question Paper

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Total No. of Pages : 02
Total No. of Questions : 18

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B.Tech. (Electrical & Electronics) (2018 Batch) (Sem.-4)
SIGNALS AND SYSTEMS
Subject Code : BTEE-404-18
M.Code : 77609
Time : 3 Hrs. Max. Marks : 60

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INSTRUCTIONS 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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Write briefly :

1. Write the mathematical and graphical representation of a unit step sequence.
2. Determine the even and odd components of x(t) = cost + sint.
3. What is Power Spectral Density?
4. State the necessary and sufficient conditions for the existence of the Fourier series representation for a signal.

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5. Define Sampling Theorem.
6. What is meant by Difference Equation?
7. Explain Ergodic process.
8. Test the system y(t) = 7 x(t) + 5 for linearity.
9. What is meant by Noise temperature?

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10. How is the shot noise represented?

SECTION-B

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

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14. Discuss the properties of Fourier transform and prove at least four of them.
15. Derive an expression for noise in an envelope detector.

SECTION-C

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

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    b) Find the system function H(z) and unit sample response h(n) of the system whose difference equation can be described by y(n) + 2y(n-1) = x(n), where y(n) and x(n) are the output and input of system.
18. Write a short note on :
    a) Avalanche Noise
    b) Bipolar transistor noise

NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any page of Answer Sheet will lead to UMC against the Student.

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