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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. A 1 kHz sinusoidal signal is ideally sampled at 1500 samples/sec and the sampled signal is passed through an ideal low pass filter with cut off frequency 800 Hz. The output signal has the frequency.

    2. A.
    0 Hz
    B.
    0.75 kHz
    C.
    0.5 kHz
    D.
    0.25 kHz

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  2. If autocorrelation sequence is Rc(n) = then what will be energy of sequence?

    3. A.
    2
    B.
    24
    C.
    3
    D.
    288

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  3. Fourier transform of an external exponential ejW0t

    4. A.
    δ(f - f0)
    B.
    1
    C.
    δ(f + f0)
    D.
    ∞

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  4. If i = 10 + 12 cos 500t - 3.5 sin 500 t, then in amplitude phasse form i =

    5. A.
    10 + 12.5 sin (500 t + 106.20°)
    B.
    5 + 12.5 sin (500 t + 106.20°)
    C.
    10 + 11 sin (500 t + 106.20°)
    D.
    10 + 12.5 sin (500 t + 10°)

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  5. The real part of complex frequency s corresponds to oscillations.

    6. A.
    True
    B.
    False

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  6. A unit step function is used to represent the closing a switch in a constant voltage system.

    7. A.
    True
    B.
    False

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  7. A voltage v = 100 sin ωt + 10 sin 5 ωt is applied to a pure capacitor having capacitance of 1 μF. If ω = 314 rad/sec, the current through the capacitor is

    8. A.
    0.0314 cos 314 t + 0.0157 cos 1570 t
    B.
    0.0314 sin 314 t + 0.0157 sin 1570 t
    C.
    0.0314 cos 314 t + 0.0314 cos 1570 t
    D.
    0.0157 cos 314 t + 0.0157 cos 1570 t

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  8. If then system is

    9. A.
    casual
    B.
    uncasual
    C.
    casual at z = 0.4, 2
    D.
    uncasual at z = 0.4, z = 2

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  9. A pulse function having magnitude E and duration from t = 0 to t = a can be represented as

    10. A.
    sum of two pulse functions
    B.
    difference of two pulse functions
    C.
    difference of two step functions each of magnitude E and one originating at t = 0 and the other at t = a
    D.
    none of the above

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  10. If , f(t) =

    11. A.
    10 te-2t
    B.
    10 t2e-2t
    C.
    10 e-2t
    D.
    5 t2e-2t

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