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ECE :: Signals and Systems

  1. For the discrete time system of the given figure

  2. A.
    yk - 0.5 yk - 1 - 0.25 yk - 2 = uk
    B.
    yk + 0.5 yk - 1 - 0.25 yk - 2 = uk
    C.
    yk - 0.5 yk - 1 + 0.25 yk - 2 = uk
    D.
    yk + 0.5 yk - 1 + 0.25 yk - 2 = uk

  3. The analog signal m(t) is given below m(t) = 4 cos 100 pt + 8 sin 200 pt + cos 300 pt, the Nyquist sampling rate will be

  4. A.
    1/100
    B.
    1/200
    C.
    1/300
    D.
    1/600

  5. The ROC of sequence in the Z.T. of sequence x[n] = an ∪ [n] is

  6. A.
    z > a
    B.
    z < a
    C.
    |z| > a
    D.
    |z| < a

  7. In Laplace transform, multiplication by e-at in time domain becomes

  8. A.
    translation by a in s domain
    B.
    translation by (-a) in s domain
    C.
    multiplication by e-as in s domain
    D.
    none of the above

  9. A function having frequency f is to be sampled. The sampling time T should be


  10. The final value theorem is


  11. If

  12. A.
    - 12
    B.
    12
    C.
    20
    D.
    - 20

  13. Inverse Fourier transform of sgn (ω) is

  14. A.
    B.
    1
    C.
    U(t)
    D.

  15. If I (s) , the final value of i(t) is

  16. A.
    5A
    B.
    12.5 A
    C.
    0.05 A
    D.
    1250 A

  17. A signal m(t) is multiplied by a sinusoidal waveform of frequency fc such that
    v(t)=m(t) cos 2pfct
    If Fourier transform of m(t) is M(f), Fourier transform of v(t) will be

  18. A.
    0.5 M(f + fc)
    B.
    0.5 M(f - fc)
    C.
    0.5 M(f + fc) + 0.5 M(f - fc)
    D.
    0.5 M(f - fc) + 0.5 M(f - fc)