Download PTU B-Tech ECE 2020 Dec 4th Sem 77568 Signals And Systems Question Paper

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Roll No. Total No. of Pages : 02
Total No. of Questions : 18
B.Tech. (Electronics & Communication Engineering) (2018 Batch)
(Sem.-4)
SIGNALS AND SYSTEMS

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INSTRUCTIONS TO CANDIDATES :

1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.

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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

Write briefly :

1. What is time inversion property of signal?

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2. What is Central Limit Theorem?
3. What is Ergodic Process?
4. Define Power Signal.
5. Write down Dirichlet’s condition of Fourier series.
6. What do you mean by Stable System?

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7. Differentiate between auto correlation and cross correlation function.
8. State the significance of difference equations.
9. What is the difference between recursive and non-recursive systems?
10. What do you mean by Forced Response?

SECTION-B

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11. State and prove sampling theorem for low pass signals.
12. Decompose the signal into even and odd parts:
    a) 3t+2+1
    b) {UTJ}
13. Define Z-transform. State and prove any three properties of Z-transform.

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14. Prove that for BIBO stable discrete time LTI system, the ROC of the system function includes unit circle.
15. State and prove Parseval’s Theorem.

SECTION-C

16. An LTI system is described by following input-output relation :
    y(n)—9/4 y(n—1) +1/2 y(n-2) = x(n)-3 x(n—1)
    

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    Determine the impulse response of the system with specified ROC’s of H(Z) for the conditions :
    a) System is Stable.
    b) System is Causal.
17. Find the CTFT of the signal x(t)= t e^-tu(t) using appropriate property. State and prove the properties used.
18. Show that spectrum of the sampled signal is the infinite sum of shifted replicas of the spectrum of original signal.

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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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