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ECE :: Signals and Systems

  1. If xk = 0 for k < 0 and = 2k for k ≥ 0 X(z) = z/(z -2).

  2. A.
    True
    B.
    False

  3. Assertion (A): If an event A can happen in m ways and another event B can happen in n ways, both can happen in mn ways.

    Reason (R): Two events are mutually exclusive if happening of either precludes the occurrence of other.

  4. A.
    Both A and R are correct and R is correct explanation of A
    B.
    Both A and R are correct but R is not correct explanation of A
    C.
    A is true, R is false
    D.
    A is false, R is true

  5. Assertion (A): In the curve , a high value of h indicate a high peak and rapid fall in the curve.

    Reason (R): If the number of ways in an event may result can be analysed into a successes and b failures, each equally likely to occur, the probability of success in a single trial is

  6. A.
    Both A and R are correct and R is correct explanation of A
    B.
    Both A and R are correct but R is not correct explanation of A
    C.
    A is true, R is false
    D.
    A is false, R is true

  7. Which one of the following digital filters does have a linear phase response?

  8. A.
    y(n) + y(n - 1) = x(n) - x(n - 1)
    B.
    C.
    D.

  9. For a second order system, damping ratio ζ is such that 0 < ζ <. Then the roots of characteristic equation are

  10. A.
    real but not equal
    B.
    real and equal
    C.
    complex conjugate
    D.
    imaginary

  11. If is scaled as an x[n] then ROC changes from `R` to

  12. A.
    Ra
    B.
    R
    C.
    R/a
    D.
    R + a

  13. If f(t)↔ F(jω), and f(t) is real, then F(- jω)

  14. A.
    F(jω)
    B.
    F*(j↔)
    C.
    F*(- jω)
    D.
    none of these

  15. Fourier transform o the function f(t) = 1 is

  16. A.
    2p δ (ω)
    B.
    p δ (ω)
    C.
    δ(ω)/2p
    D.
    δ(ω)/p

  17. The region of converage of z-transform of sequence must be


  18. If a function f(t) is an odd, function, its Fourier series

  19. A.
    contains only sine terms
    B.
    contains only cosine terms
    C.
    contains a constant and sine terms
    D.
    contains a constant and cosine