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Explanation of Sampling Theorem

The sampling theorem:

1. for x(nT) to be equally spaced samples of x(t), while n=0, +1, -1, +2, -2, ...
2. x(t) is band limited.
  X($ \omega $) = 0 for $ |\omega|>\omega_m $
3. $  2\pi/T = \omega_s > 2\omega_m $

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