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Scribe Note 7-1

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on December 9, 2011 at 3:00:18 pm
 

Q6

a)We have defined the information rate distortion function as 

                                        

 

where the minimization is over all conditional distributions  Formula  for which the joint distribution Formula  satisfies the expected distortion constraint. This is a standard minimization problem of a convex function over the convex set of all Formula satisfying Formula for all Formula and Formula

We can use the method of Lagrange multipliers to find the solution.  We set up the functional


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