10/02 - Fourier Series: Difference between revisions
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(New page: ==Fourier Series (as compared to vectors)== If a function is periodic, <math> x(t) = x(t+T) \,\!</math>, and it meets the Dirichlet conditions, then we can write it as <math> x(t) = \sum_{...) |
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Revision as of 13:34, 9 November 2008
Fourier Series (as compared to vectors)
If a function is periodic, , and it meets the Dirichlet conditions, then we can write it as
- Dirichlet conditions
- x(t) must have a finite number of extrema in any given interval
- x(t) must have a finite number of discontinuities in any given interval
- x(t) must be absolutely integrable over a period
- x(t) must be bounded