(New page: x(t) is a band-limited signal with X(jw) = 0 for |W| >Wm. Then x(t) is uniquely determined by its samples x(nT) = 0,(+,-)[1,2,3]..., if Ws > 2 * Wm, where Ws = (2* pi...)
 
 
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x(t) is a band-limited signal with X(jw) = 0 for  |W| >Wm.  
 
x(t) is a band-limited signal with X(jw) = 0 for  |W| >Wm.  
  
  Then x(t) is uniquely determined by its samples x(nT) = 0,(+,-)[1,2,3]..., if  Ws > 2 * Wm,
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  Then x(t) is uniquely determined by its samples x(nT) = 0,(+,-)[1,2,3]..., if  Ws > 2 * Wm, where Ws  =  (2* pi ) / T   
 
+
Then if X D [n] = X(nTs) are a collection of samples, then x(t) can be uniquely recovered from its samples  if  Ts < pi/ Wm
where  
+
 
+
            Ws  =  (2* pi ) / T   
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Then if
+
 
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X D [n] = X(nTs) are a collection of samples, then x(t) can be uniquely recovered from its samples  if  Ts < pi/ Wm
+

Latest revision as of 18:17, 30 July 2009

x(t) is a band-limited signal with X(jw) = 0 for |W| >Wm.

Then x(t) is uniquely determined by its samples x(nT) = 0,(+,-)[1,2,3]..., if  Ws > 2 * Wm, where Ws  =  (2* pi ) / T   

Then if X D [n] = X(nTs) are a collection of samples, then x(t) can be uniquely recovered from its samples if Ts < pi/ Wm

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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