Maximum frequency, not bandwidth?

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SUMMARY

The discussion clarifies the misconception surrounding the Nyquist frequency and its relationship to signal sampling rates. It establishes that the maximum frequency of a signal, rather than its bandwidth, dictates the necessary sampling rate for accurate reconstruction. Specifically, for a signal with a spectral content from 40-50 MHz sampled at 20 MHz, aliasing does not occur. To reconstruct the original signal without additional information, one must sample at twice the maximum frequency; with extra information, sampling at twice the bandwidth suffices.

PREREQUISITES
  • Understanding of Nyquist frequency and sampling theory
  • Familiarity with signal processing concepts
  • Knowledge of frequency domain analysis
  • Experience with aliasing effects in signal reconstruction
NEXT STEPS
  • Study the implications of Nyquist theorem in digital signal processing
  • Learn about spectral analysis techniques for signals
  • Explore methods for minimizing aliasing in sampled signals
  • Investigate the role of center frequency in signal reconstruction
USEFUL FOR

Signal processing engineers, audio engineers, and anyone involved in digital communications or signal reconstruction will benefit from this discussion.

freddyfish
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Hey

In many places on the Internet you can read how the Nyquist frequency must be at least as high as the signals bandwidth in order to properly reconstruct the signal. Isn't this a big misnomer, since it is not the bandwidth, but the highest frequency of the signal that determines the necessary sampling rate? Why would then the word "bandwidth" still be used in this context? :smile:
 
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Try to make a drawing in the frequency domain of a signal with a spectral content from 40-50MHz that you sample at 20MHz. You should see there is no aliasing.
If you want to reconstruct the original signal you will of course need extra information about the centre frequency of the original signal.

So if you want to reconstruct the original signal without extra available information, you need to sample at 2x the maximum frequency. If you have some extra information, such as the centre frequency, 2x the bandwidth will do.
 
Thanks for your answer :biggrin:
 

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