Formula Of Sampling Theorem. Central limit theorem is applicable for a sufficiently large sample sizes n 30. Frequency is unknown frequency is known After sampling at frequency.
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For simplicity specialize to a sinusoid where NOTE. We call the formula 19 the sampling formula S-formula for the function I l x. Sampling rate or frequency samplessec Ideal Sampler Reconstruction xt xn yt xt xn Alfred Hero University of Michigan 3 Q.
Ft n fn 2Wsin π2Wt n π2Wt n.
In order to recover the signal function ft exactly it is necessary to sample ft at a rate greater than twice its. So lets review the philosophy behind the sampling theorem. The sampling theorem condition is satisfied since 2 fmax 80. The first plot in the figure displays a sine wave with a frequency of 40 Hz and its sampled amplitudes.
