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ECE :: Signals and Systems

  1. Which one of following is correct condition to check the stability of system?

  2. A.
    Bounded I/P unbounded O/P
    B.
    Bounded I/P and O/P
    C.
    Bounded O/P and I/P
    D.
    Bounded I/P Bounded O/P

  3. The inverse Fourier transform of the function F(ω) = is

  4. A.
    sin ωt
    B.
    cos ωt
    C.
    sgnt
    D.
    u(t)

  5. Let f1(t) = G1(t) + 4, f2(t) = G2(t) + 3. If G1(t) and G2(t) are uncorrected then the correlation between f1(t) and f2(t) are

  6. A.
    12
    B.
    7
    C.
    6
    D.
    zero

  7. If p is the probability of success and q is the probability of failure, then the probability that there are r successes in n trails is

  8. A.
    ncr pr qn - r
    B.
    ncr pn - r qr
    C.
    ncr pr qn + r
    D.
    ncr pn qn - r

  9. ROC of sequence x[n] = δ[n] is

  10. A.
    Not exist
    B.
    z = 0
    C.
    Entire Plane
    D.
    Entire Plane expect z = 0, z = ∞

  11. The Z.T. of sequence x[n] = an ∪ [n] is


  12. The unit step response of a system is (1 - eat) u(t). Then its impulse response is

  13. A.
    e- at u(t)
    B.
    ae- at u(t)
    C.
    D.
    - ae- at u(t)

  14. The output of a linear system for any input can be computed in which of the following ways?

  15. A.
    Only by summation of inpulse response by convolution integral
    B.
    Only by summation of step response by superposition integral
    C.
    Neither a nor b
    D.
    Either (a) or (b)

  16. The inverse Laplace transform of 1/(s - a)2 is

  17. A.
    eat
    B.
    t eat
    C.
    t2 eat
    D.
    eat/t

  18. If f(t) = sgn(t), F(jω)