(New page: = Practice Question 4, ECE438 Fall 2010, Prof. Boutin = On computing the inverse z-tramsfprm of a discrete-time signal. ---- Compute the inverse z-transform of <math...)
 
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Compute the inverse z-transform of  
 
Compute the inverse z-transform of  
  
<math>X(z) = \log \left( 1+z \right) </math>.  
+
<math>X(z) = \log \left( 1+z \right), \quad |z|<1 </math>.  
  
 
Hist: expand the function into a power series using either the Taylor series formula or a [[PowerSeriesFormulas|table of power series formulas]].
 
Hist: expand the function into a power series using either the Taylor series formula or a [[PowerSeriesFormulas|table of power series formulas]].

Revision as of 09:38, 18 October 2010

Practice Question 4, ECE438 Fall 2010, Prof. Boutin

On computing the inverse z-tramsfprm of a discrete-time signal.


Compute the inverse z-transform of

$ X(z) = \log \left( 1+z \right), \quad |z|<1 $.

Hist: expand the function into a power series using either the Taylor series formula or a table of power series formulas.


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