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ECE :: Signals and Systems

  1. The unit step response of a system starting from rest is given by c(t) = 1 - e-2t for t ≥ 0. The transfer function of the syste is


  2. check the following system for causality

    1. y[n] = x[n] + 2x[n - 1]
    2. y[n] = x[n - k]
    3. y[n] = x[2n]

  3. A.
    (1) and (2)
    B.
    (2) and (3)
    C.
    (1) omly
    D.
    (1) and (3)

  4. If the system transfer function of a discrete time system then system is

  5. A.
    stable
    B.
    unstable
    C.
    stable at z = 1
    D.
    unstable at z = 1

  6. Two rectangular waveforms of duration t1 and t2 seconds are convolved. What is the shape of the resulting waveform?

  7. A.
    Triangular
    B.
    Rectangular
    C.
    Trapezoidal
    D.
    Semi-circular

  8. The function Ae(s + jω)t represens a rotating phasor having a magnitude increasing with time.

  9. A.
    True
    B.
    False

  10. If f1(t)<< F1(jω) and f2(t)↔ F2(jω), then [a1 f1(t) + a2f2(t)]↔

  11. A.
    a1F1(jω) + a2F2(jω)
    B.
    a1a2F1(jω) + F2(jω)
    C.
    a1F1(jω) - a2F2(jω)
    D.
    a1F1*(jω) + a2F2*(jω)

  12. The signal x(t) = A cos (ω0t + φ) is

  13. A.
    energy signal
    B.
    power signal
    C.
    energy Power
    D.
    none

  14. The inverse Fourier transform of δ(t) is

  15. A.
    ∪(t)
    B.
    1
    C.
    δ(t)
    D.
    ej2pt

  16. Which one of the following is the correct statement of the system characterized by the equation y(t) = ax(t) + b?

  17. A.
    linear for any value of b
    B.
    linear if b > 0
    C.
    linear if b < 0
    D.
    non-linear

  18. Paley Wiener criterion for designing of filter is

  19. A.
    B.
    C.
    D.
    a and b