Spectrum Analysis of Sampling Process MCQ

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• The sinusoid x(t) =6cos10πt is sampled at the rate of 15 Hz and applied to ideal rectangular LPF with cut-off frequency of 10 Hz, then the output of filter contains:
  ক

  Only 10π rad/sec component

  খ

  10π rad/sec component

  গ

  10π rad/sec and 20π rad/sec components

  ঘ

  +10π rad/sec and +20π rad/sec components
• A digital measuring instrument employs a sampling rate of 100 samples/second. The sampled input x(n) is averaged using the difference equation: Y (n) = For a step input, the maximum time taken for the output to reach the final value after the input transition is
  ক

  For a step input, the maximum time taken for the output to reach the final value after the input transition is ] 20 ms

  খ

  x (n)+x (n-1)+x(n-2)+x(n-4)/4

  গ

  x (n)+x (n-1)+x(n-2)+x(n-4)/4

  ঘ

  x (n)+x (n-1)+x(n-2)+x(n-4)/4
• A signal m(t) with bandwidth 500 Hz is first multiplied by a signal g(t). The resulting signal is passed through an ideal low pass filter with bandwidth 1 kHz. The output of the low pass filter would be :
  ক

  Impulse

  খ

  m(t)

  গ

  0

  ঘ

  m(t)del(t)
• A signal represented by x(t) =5cos 400πt is sampled at a rate 300 samples/sec. The resulting samples are passed through an ideal low pass filter of cut-off frequency 150 Hz. Which of the following will be contained in the output of the LPF?
  ক

  100 Hz

  খ

  100 Hz, 150 Hz

  গ

  50 Hz, 100 Hz

  ঘ

  50 Hz, 100 Hz, 150 Hz
• A bandpass sampling extends from 4-6 kHz. What is the smallest sampling frequency required to retain all the information in the signal.
  ক

  1 kHz

  খ

  2 kHz

  গ

  3 kHz

  ঘ

  4 kHz
• Increased pulse-width in the flat-top sampling leads to:
  ক

  Attenuation of high frequencies in reproduction

  খ

  Attenuation of low frequencies in reproduction

  গ

  Greater aliasing errors in reproduction

  ঘ

  No harmful effects in reproduction
• Let x(t) be a continuous-time, real valued signal band-limited to F Hz. The Nyquist sampling rate in Hz, For y(t) =x(0.5t) +x(t)-x(2t) is
  ক

  F

  খ

  2F

  গ

  4F

  ঘ

  8F
• A band limited signal with a maximum frequency of 5 KHz to be sampled. According to the sampling theorem, the sampling frequency which is not valid is:
  ক

  5 KHz

  খ

  12 KHz

  গ

  15 KHz

  ঘ

  20 KHz
• Statement (I): Aliasing occurs when the sampling frequency is less than twice the maximum frequency in the signal. Statement (II): Aliasing is a reversible process.
  ক

  Both statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I).

  খ

  Both Statement (I) and Statement (II) are individually true but Statement (II) is not correct explanation of Statement (I)

  গ

  Statement (I) is true but Statement (II) is false

  ঘ

  Statement (I) is False but Statement (II) is true