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ECE :: Signals and Systems

Signals and Systems - Section 1
Signals and Systems - Section 2
Signals and Systems - Section 3
Signals and Systems - Section 4
Signals and Systems - Section 5
Signals and Systems - Section 6
Signals and Systems - Section 7
Signals and Systems - Section 8
Signals and Systems - Section 9
Signals and Systems - Section 10
Signals and Systems - Section-11

  1. For the signum function sgn(t), F(jω) =

    2. A.
    B.
    C.
    jω
    D.
    2 jUω

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  2. In the periodic train of rectangular pulses F0 = (V0/T)d

    3. A.
    True
    B.
    False

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  3. Z transform of [(Xk±k0)] =

    4. A.
    z±k0 X(z)
    B.
    z±k0 X(z)
    C.
    D.
    none of the above

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  4. If a sequence is causal then ROC is (where a is any number)

    5. A.
    |z| > a
    B.
    |z| < a
    C.
    |z| = a
    D.
    Entire Plane

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

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  6. X and Y are two random variable and Z = X + Y. Let σx2, σy2 and σz2 be variance of X, Y and Z. Then

    7. A.
    σz2 = σx2 + σy2
    B.
    σz2 ≤ σx2 + σy2
    C.
    σz2 < σx2 + σy2
    D.
    σz2 > σx2 + σy2

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  7. Consider the following sets of values of E, R and C for the circuit in the given figure.

    1. 2 V, 1 Ω, 1.25 F
    2. 1.6 V, 0.8 Ω, 1 F
    3. 1.6 V, 1 Ω, 0.8 F
    4. 2 V, 1.25 Ω, 1 F
    Which of these of values will ensure that the state equation is valid?

    8. A.
    1 and 4
    B.
    1 and 2
    C.
    3 and 4
    D.
    2 and 3

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  8. Assertion (A): The conditions under which it is possible to write Fourier series of a periodic function are called Drichlet conditions.

    Reason (R): If f(t) = - f(- t), it is refereed to as odd symmetry.

    9. 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

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  9. Initial value theroem for sequence x[n] is

    10. A.
    B.
    C.
    a and b
    D.
    X(z)at z = 0

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  10. L[c1f1(t) + c2f2(t)] =

    11. A.
    c1 F1 (jω) + c2 F2(jω)
    B.
    c1 F1 (jω) - c2 F2(jω)
    C.
    c1 F1 (jω) + c2 F2(jω) + c1c2
    D.
    c1 F1 (jω) + c2 F2(jω) + c1/c2

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