Signals and systems/GF Fourier: Difference between revisions
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==Changing Basis Functions== | ==Changing Basis Functions== | ||
=Notes= | ==Notes== | ||
<math>e^{j \theta} = cos \theta + j sin \theta \, </math> | <math>e^{j \theta} = cos \theta + j sin \theta \, </math> | ||
<math> \left \langle n \mid m \right \rangle = T \delta_{n,m} \,</math> | <math> \left \langle n \mid m \right \rangle = T \delta_{n,m} \,</math> |
Revision as of 05:13, 29 October 2006
Fourier series
The Fourier series is used to analyze arbitrary periodic functions by showing them as a composite of sines and cosines.
A function is considered periodic if for .
The exponential form of the Fourier series is defined as
Changing Basis Functions
Notes