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ECE :: Signals and Systems

  1. Assertion (A): In complex frequency s = σ + jω, the terms s and ω are nepar frequency and radin frequency.

    Reason (R): If ω = 0, the graph of Kest will be a decaying exponential if s <

  2. 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

  3. If xk = 2k for k ≤ 0 and xk = 0 for k ≥ 0, Z transform of the sequence x is


  4. Final value theroem is for sequence x[n] is

  5. A.
    B.
    C.
    a and b
    D.
    X(z)at z = ∞

  6. The n state variables can be considered as n components of a state vector.

  7. A.
    True
    B.
    False

  8. Following is a reason of distortion in communication system

  9. A.
    external interference
    B.
    random variations
    C.
    insufficient Channel Bandwidth
    D.
    all

  10. The state equations are in the form

  11. A.
    X = AX + BW
    B.
    X = AX + Bu
    C.
    X = AX + Bx
    D.
    either (a) or (b)

  12. (SI - A)-1 = adj(sI - A)/det (sI - A)

  13. A.
    True
    B.
    False

  14. The eign values of n x n matrix A are the root of the characteristic equation 1λI - AI = 0

  15. A.
    True
    B.
    False

  16. A signal is x + f(t) where x is constant and f(t) is a power signal with zero mean value. The power of the signal is

  17. A.
    x2
    B.
    x2 + f2(t)
    C.
    more than x2 + f2(t)
    D.
    less than x2 + f2(t)

  18. A pulse function can be represented as difference of two equal step functions.

  19. A.
    True
    B.
    False