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ECE :: Signals and Systems

  1. If δ(t) denotes a unit impulse, Laplace transform of is

  2. A.
    1
    B.
    s2
    C.
    s
    D.
    s-2

  3. The function (sin x)/x

  4. A.
    has a period 2p, decays with increasing x and has zeros at np, n = ± 1, ± 2
    B.
    has a period p
    C.
    has a period p/2
    D.
    has a period 2p, decays with increasing x, is an even function and has zeros at np, n = ± 1, ± 2

  5. Which of the following represents a stable system?

    1. Impulse response decreases exponentially.
    2. Area within the impulse response in finite.
    3. Eigen values of the system are positive and real.
    4. Roots of the characteristic equation of the system are real and positive.
    Select the answer using the following codes:

  6. A.
    1 and 4
    B.
    1 and 3
    C.
    2, 3 and 4
    D.
    1, 2

  7. The Laplace transform of cos ωt is


  8. Auto correlation for t = 0 is equal to

  9. A.
    average power S of waveform
    B.
    square of average power S of waveform
    C.
    half of average power S of waveform
    D.
    square root of average power S of waveform

  10. For an ac sinusoidal wave, the rms value is 10 A. For the same wave delayed by 60° in each half cycle, the rms value is likely to be

  11. A.
    10 A
    B.
    7.07 A
    C.
    6.35 A
    D.
    3.5 A

  12. It f(t) is an odd function, the coefficients Fn in the exponential form of Fourier series

  13. A.
    are real
    B.
    are imaginary
    C.
    are complex
    D.
    may be real or imaginary

  14. The F.T. of e-pf2 is e-pf2 then Fourier Transform of e -at2 is


  15. The response of a linea, time invariant discrete time system to a unit step input ∪(n) is the unit impulse δ(n). The system response to a ramp input n ∪(n) would be

  16. A.
    ∪(n)
    B.
    ∪(n - 1)
    C.
    nδ(n)
    D.

  17. The impulse response h[n] of a linear time invariant system is given as

    If the input to the above system is the sequence ejpn/4, then the output is

  18. A.
    42 ejpn/4
    B.
    42 e- jpn/4
    C.
    4epn/4
    D.
    -4epn/4