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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 u is input, y is output and a, b are constants, the system y = au + b

    2. A.
    is linear
    B.
    is nonlinear
    C.
    may be linear or nonlinear dependig on values of a and b
    D.
    may be linear or nonlinear depending on value of u

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  2. In RLC circuits the state variables generally selected are

    3. A.
    voltages across capacitors
    B.
    currents through resistances and voltages across capacitors
    C.
    currents through resistances and capacitances
    D.
    currents through inductances and voltages across capacitances

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  3. Auto correlation function

    4. A.
    is an even function of t
    B.
    is an odd function of t
    C.
    may be an even or odd function of t
    D.
    is both an odd and even function of t

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  4. In a oscillator, a sine wave generator starts at t = 0. It consist of

    5. A.
    Pure sine wave
    B.
    Pure cosine wave
    C.
    Unity for t > 0
    D.
    2∪(t) - 1

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  5. For a periodic waveform, the power spectral density and correlation function form

    6. A.
    a Laplace transform pair
    B.
    a Fourier transform pair
    C.
    either (a) or (b)
    D.
    neither (a) nor (b)

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  6. Assertion (A): Laplace transform can be used to evalute integrals.

    Reason (R): Laplace transform can be used to solve differential equations.

    7. 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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  7. What about causality of the system transfer function of a discrete time system

    8. A.
    uncasual
    B.
    casual
    C.
    casual and some specific point
    D.
    Both b and c

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  8. If f(t) is an odd function, F(jω) =

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  9. Consider the following statements

    1. If ensemble and time averages of a random process are identical, the process is ergodic.
    2. If ensemble and time average of a random process are not identical, the process is ergodic.
    3. An ergodic process is stationary.
    4. A stationary process is necessarily ergodic.
    Which of the above statements are correct?

    10. A.
    1 only
    B.
    1 and 3 only
    C.
    1, 3 and 4 only
    D.
    1 and 4 only

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  10. (sI - A)-1 is equal to

    11. A.
    adj (sI - A)/det (sI - A)
    B.
    det (sI - A)/adj(sI - A )
    C.
    [adj (sI - A)] [det(sI - A)]
    D.
    none of the above

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