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− | The Laurent series is a way to descrive any analytic function that has its domain on the complex plane. Much like the Taylor Series it is a sum of a variable to a power multiplied by a corresponding coefficient. | + | The Laurent series is a way to descrive any analytic function that has its domain on the complex plane. Much like the Taylor Series it is a sum of a variable to a power multiplied by a corresponding coefficient. However, the Laurent series also has the ability to describe functions with poles, by containing negative powers of the complex variable (represented by '''z''') as well. |
'''Background''' | '''Background''' |
Revision as of 20:09, 23 April 2017
The Laurent Series in DSP
Introduction:
The Laurent series is a way to descrive any analytic function that has its domain on the complex plane. Much like the Taylor Series it is a sum of a variable to a power multiplied by a corresponding coefficient. However, the Laurent series also has the ability to describe functions with poles, by containing negative powers of the complex variable (represented by z) as well.
Background
The Taylor Series
Applications in DSP