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Jerry Avins Jerry Avins is offline
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Default Questions about equivalents of audio/video and digital/analog.

Bob Myers wrote:

... you must sample the
original signal at a rate equal to at least twice its bandwidth (actually,
very slightly higher, to avoid a particular degenerate case which
could occur at EXACTLY 2X the bandwidth) in order to preserve
the information in the original and avoid "aliasing."


Bob,

The degenerate case is just a limit. Signals close to the band edge take
a long time to be resolved. The time is of the order if 1/|f-F|, where F
is the frequency of the nearer band edge. Just as it takes in the order
of 100 seconds to resolve a frequency of .01 Hz, it takes the same time
to resolve a frequency of Fs/2 - .01 Hz. When f = Fs/2, it just takes
forever. The real works tends to be continuous.

Jerry
--
Engineering is the art of making what you want from things you can get.
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