(New page: Category:ECE Category:ECE 301 Category:2007 Category:Fall Category:mboutin Category: Sampling Theorem Sampling Theorem: Let <math> x(t)\ </math> be a BANDLIMITE...) 
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Latest revision as of 11:43, 18 December 2008
Sampling Theorem:
Let $ x(t)\ $ be a BANDLIMITED signal with $ X(\omega) = 0\ $ for $ \omega > \omega_m\ $. Then $ x(t)\ $ is uniquely determined by its samples $ x(nT)\ $, n=2,1,0,1,2... IF $ \omega_s > 2\omega_m\ $, where $ \omega_x = 2 \frac{\pi}{T} $.
Given these samples, we can reconstruct $ x(t)\ $ through an impulse train where amplitudes are successive sample values.
THIS DEFINITION IS EXTRACTED FROM THE TEXTBOOK.
Signals & Systems Second Edition Alan V. Oppenheim, Alan S. Willsky, with S. Hamid Nawab