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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?
  • a)
    100 Hz
  • b)
    100 Hz, 150 Hz
  • c)
    50 Hz, 100 Hz
  • d)
    50 Hz, 100 Hz, 150 Hz
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A signal represented by x(t) =5cos 400πt is sampled at a rate 300 s...
x (t) =5cos400πt
fm =200 Hz
The output of the LPF will contain frequencies which are less than fc =150 Hz.
So, fs-fm =300-200 =100 Hz is the only component present in the output of LPF.
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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?a)100 Hzb)100 Hz, 150 Hzc)50 Hz, 100 Hzd)50 Hz, 100 Hz, 150 HzCorrect answer is option 'A'. Can you explain this answer?
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