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Nyquist Sampling

  1. Aug 4, 2011 #1
    1. The problem statement, all variables and given/known data
    A signal x(t) with fourier transform X(jw) undergoes impulse-train sampling to generate

    xp(t) = sum[ x(nT)deltafnc(t-nT)

    Where T = 10^(-4), Determine with these constraints whether the signal can be recovered.
    a) X(jw) = 0 for |w|> 5000pi

    2. Relevant equations

    ws = 2pi/T

    3. The attempt at a solution

    So the sampling period is T = 10^(-4). And the sampling frequency ws = 2pi/10^(-4)

    we know that ws must be > 10000pi, therefore the signal is not recoverable given the constraints.

  2. jcsd
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