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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. If F(jω) is the Fourier transform of f(t) then f(t) =

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  2. The Laplace transform of sin ωt is

    3. A.
    B.
    C.
    D.
    none of the above

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  3. If f(t) is an even function

    4. A.
    True
    B.
    False

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  4. If average correlation between v1(t) and v2(t) is R12(t) and average correlation between v2(t) and v1(t) is R21(t) then

    5. A.
    R12(t) = R21(t)
    B.
    R21(t) = R12(t)
    C.
    R12(t) = - R21(t)
    D.
    none of these

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  5. A stationary process has

    6. A.
    all statistical properties independent of time
    B.
    all statistical properties dependent of time
    C.
    zero variance
    D.
    ensemble average equal to time average

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  6. Algebraic expression for z-transform of x[n] is X[z]... What is the algebraic expression of z-transform of ejω0n x[n]?

    7. A.
    X(Z - Z0)
    B.
    X(e-jW0z)
    C.
    X(ejω0z)
    D.
    X(Z)jω0z

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  7. The waveform shown in the given Figure can be written as

    8. A.
    v(t) = u(t - 1) + u(t - 2) + u(t - 3) + u(t -4)
    B.
    v(t) = u(t - 1) + u(t - 2) + u(t - 3) + u(t -4) - u(t - 5)
    C.
    v(t) = u(t - 1) + u(t - 2) + u(t - 3) + u(t -4) - 4u(t - 5)
    D.
    v(t) = u(t - 1) + u(t - 2) + u(t - 3) + u(t -4) + 4u(t - 5)

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  8. Assertion (A): The function δ'(t - b) is equal to 0 for t ≠ b

    Reason (R): A number of impulses spaced from one another form an impulse train.

    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. The range of values of a and b for which the linear time invariant system with impulse response.
    h(n) = an n ≥ 0
            = bn n < 0
    will be stable if

    10. A.
    |a| > 1, |b| > 1
    B.
    |a| < 1, |b| < 1
    C.
    |a| < 1, |b| > 1
    D.
    |a| > 1, |b| < 1

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  10. If f(- t) = f(t), the function f(t) has only cosine terms.

    11. A.
    True
    B.
    False

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