Shannon’s sampling theorem

Shannon s sampling theorem states that A funetion f t) that has a bandwidth is uniquely determined by a diserete set of sample values provided that the sampling frequeney is greater than 2uj, . The sampling frequeney 2tJb is ealled the Nyquist frequeney. 

There exist also methods which do not require a whole series of swelling experiments to evaluate the continuous structure factors. Shannon s sampling theorem from information theory implies that only two sets of discrete structure factors are sufficient. More specifically, this theory states that the complete continuous structure factor F(s) can be reconstructed by Fourier interpolation from just one set of observed F ... 

The basis for pulse modulation applications is representing analog signals as properly spaced samples. The theoretical justification for this is Shannon s sampling theorem (Ziemer and Tranter, 2002), which may be stated succinctly as follows ... 

Shannon s sampling theorem, 318 Shewhart control chart, 415 signals... 

It is rare in praetise to work near to the limit given by Shannon s theorem. A useful rule of thumb is to sample the signal at about ten times higher than the highest frequeney thought to be present. 

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