Line 18: Line 18:
 
Second Edition
 
Second Edition
 
Alan V. Oppenheim, Alan S. Willsky, with S. Hamid Nawab
 
Alan V. Oppenheim, Alan S. Willsky, with S. Hamid Nawab
 +
----
 +
[[Sampling_Theorem|Back to Sampling Theorem]]

Latest revision as of 13:07, 8 November 2010

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


Back to Sampling Theorem

Alumni Liaison

To all math majors: "Mathematics is a wonderfully rich subject."

Dr. Paul Garrett