(New page: ==Official Statements of the Sampling Theorem== == Sampling Theorem as per Oppenheim Willsky == Let x(t) be a BAND-LIMITED signal with X(w) = 0 for |w| > w_m. Then x(t) is uniquely deter...)
 
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==Official Statements of the Sampling Theorem==
 
==Official Statements of the Sampling Theorem==
 
== Sampling Theorem as per Oppenheim Willsky ==
 
== Sampling Theorem as per Oppenheim Willsky ==

Revision as of 09:41, 21 November 2008


Official Statements of the Sampling Theorem

Sampling Theorem as per Oppenheim Willsky

Let x(t) be a BAND-LIMITED signal with X(w) = 0 for |w| > w_m. Then x(t) is uniquely determined by its samples x(nT), n=-2,-1,0,1,2... IF w_s > 2w_m, where w_x = 2*pi/T

Given these samples, we can reconstruct x(t) through an impulse train where amplitudes are successive sample values.

THIS STATEMENT IS EXTRACTED FROM THE TEXTBOOK.

Signals & Systems Second Edition Alan V. Oppenheim, Alan S. Willsky, with S. Hamid Nawab

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