3. Digital sampling A signal contains a carrier frequency at 50 Hz with amplitude 0.60 V,...

Transcribed Image Text:

3. Digital sampling A signal contains a carrier frequency at 50 Hz with amplitude 0.60 V, but there is also some undesired noise in the signal at 16,200 Hz, amplitude 0.15 V. The DC offset is negligible. You are not aware of the noise, so you sample the signal at a sampling frequency of 1,000 Hz and collect 4,096 data points. a What is the frequency resolution of this digital data acquisition system? b What is the folding frequency of the resulting frequency spectrum? c An FFT is performed. Sketch the resulting frequency spectrum and explain all the peaks. Make sure the horizontal axis of your spectrum is extends to the appropriate limit and is clearly labeled. d The number of data points is now extended to 65,536. Sketch the new frequency spectrum. Explain the difference in the profile of the peaks. 3. Digital sampling A signal contains a carrier frequency at 50 Hz with amplitude 0.60 V, but there is also some undesired noise in the signal at 16,200 Hz, amplitude 0.15 V. The DC offset is negligible. You are not aware of the noise, so you sample the signal at a sampling frequency of 1,000 Hz and collect 4,096 data points. a What is the frequency resolution of this digital data acquisition system? b What is the folding frequency of the resulting frequency spectrum? c An FFT is performed. Sketch the resulting frequency spectrum and explain all the peaks. Make sure the horizontal axis of your spectrum is extends to the appropriate limit and is clearly labeled. d The number of data points is now extended to 65,536. Sketch the new frequency spectrum. Explain the difference in the profile of the peaks.

Answer rating: 100% (QA)

a The frequency resolution of the digital data acquisition system is given by the formula f 1Nt wher... View the full answer