Difference between revisions of "Fourier series"
From Conservapedia
m |
m |
||
Line 8: | Line 8: | ||
:<math>b_n = \frac{2}{T} \int_{t_1}^{t_2} f(t) \sin(\omega_n t)\, dt </math> | :<math>b_n = \frac{2}{T} \int_{t_1}^{t_2} f(t) \sin(\omega_n t)\, dt </math> | ||
− | Fourier series can be generalized to [[Fourier transformation]]s for non-perodic, piecewise | + | Fourier series can be generalized to [[Fourier transformation]]s for non-perodic, piecewise continuous, [[square integrable function]]s. |
[[category: mathematics]] | [[category: mathematics]] |
Revision as of 02:00, March 24, 2007
Fourier series express a piecewise continous, periodic function as a linear combination of Sine and Cosine functions.
The Fourier series of a function f(t) is of the form:
where, n is an integer and
Fourier series can be generalized to Fourier transformations for non-perodic, piecewise continuous, square integrable functions.