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Math Help - Shannon's sampling theorem

  1. #1
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    Shannon's sampling theorem

    Is Shannon's sampling theorem, which says one must sample a signal with a sampling frequency larger than 2 times the maximum frequency component of the signal, really a theorem? Or, is it just a reasonable rule? If it is a real theorem, where can I find a rigorous version of it? Thanks a lot.
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    Quote Originally Posted by abygailon View Post
    Is Shannon's sampling theorem, which says one must sample a signal with a sampling frequency larger than 2 times the maximum frequency component of the signal, really a theorem? Or, is it just a reasonable rule? If it is a real theorem, where can I find a rigorous version of it? Thanks a lot.
    The sampling theorem is: A signal with no frequency componets above B Hz can be reconstructed exactly by sampling points spaced by 1/(2B) seconds.

    See here

    CB
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    Thanx a lot. Now it makes sense, it is a sufficient condition.
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    Quote Originally Posted by abygailon View Post
    Thanx a lot. Now it makes sense, it is a sufficient condition.
    Any higher sampling rate will do, yes.

    CB
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