(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 08:41, 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
