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Variable Phenomena Nyquist Sampling

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Variable Phenomena Nyquist Sampling Harry Nyquist (1889 1976) Consider a sine wave. How often do we need to sample it in order to figure out its frequency? – PowerPoint PPT presentation

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Title: Variable Phenomena Nyquist Sampling


1
Variable PhenomenaNyquist Sampling
Harry Nyquist (1889 1976)
2
  • Consider a sine wave.
  • How often do we need to sample it in order to
    figure out its frequency?

3
  • If we sample with a frequency which corresponds
    to once per wavelength, we would think the sine
    wave is constant

4
If we sample 1.5 times the real frequency, wed
think the function is a sine with a longer
wavelength (the red curve)
5
  • If we sample at twice the real frequency, we get
    the right answer

6
(No Transcript)
7
  • Nyquist Sampling
  • For lossless digitization, sample at at least
    twice the frequency.

8
Light curves of Variable Stars
Take Fourier Transform ? Period
9
Phase Plot
Phase, in units of cycles
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