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A signal can be recovered from sampling if-
+
A signal can be recovered from sampling if
  
          -The Signal is bandlimited and the Sample Frequency (<math>\omega_s</math>) is greater than <math>2\omega_{max}</math>  (maximum frequency)
+
*The Signal is bandlimited and the Sample Frequency (<math>\omega_s</math>) is greater than <math>2\omega_{max}</math>  (maximum frequency)
 
    
 
    
 
                          
 
                          
                      <img alt="tex:\omega_{s}>2\omega_{max}" />
+
                    <math>\omega_{s}>2\omega_{max}</math>
  
  
          Recieved 9/10 Points because it is not clear if I meant <img alt="tex:2\omega_{max}"/> or <img alt="tex:\omega_{max}"/> is the maximum      
+
Recieved 9/10 Points because it is not clear if I meant <math>2\omega_{max}</math> or <math>\omega_{max}</math> is the maximum     frequency
          frequency
+
 
 +
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Revision as of 20:48, 1 May 2008

What I wrote on my Exam (and how many points I got)

The sampling theorem states that for a signal x(t) to be uniquely reconstructed, its X(jw) = 0 when |w| > wm, and the sampling frequency, ws, must be greater than 2wm


I got a 7/10 on this because I did not say what it is being reconstructed from. Also I used w because I did not know how to type omega in this file.


My Definition:


A signal can be recovered from sampling if

  • The Signal is bandlimited and the Sample Frequency ($ \omega_s $) is greater than $ 2\omega_{max} $ (maximum frequency)


                    $ \omega_{s}>2\omega_{max} $  


Recieved 9/10 Points because it is not clear if I meant $ 2\omega_{max} $ or $ \omega_{max} $ is the maximum frequency


Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett