(3 intermediate revisions by one other user not shown)
Line 4: Line 4:
 
[[Category: 2008]]
 
[[Category: 2008]]
 
[[Category: asan]]
 
[[Category: asan]]
 
==Official Statements of the Sampling Theorem==
 
 
== Sampling Theorem as per Oppenheim Willsky ==
 
== Sampling Theorem as per Oppenheim Willsky ==
  
Line 20: 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

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva