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Fourier series
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Revision as of 02:22, June 21, 2008
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02:22, June 21, 2008
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'''Fourier'''
series
express a piecewise
continous
, periodic function as a linear combination of [[orthogonal]] [[sine]] and [[cosine]] functions.
+
'''Fourier
series
''' express a piecewise
, continuous
, periodic function as a linear combination of [[orthogonal]] [[sine]] and [[cosine]] functions.
−
The Fourier series of a function ''f(t)'' is of the form:
+
The Fourier
[[
series
(mathematics)|series]]
of a function ''f(t)'' is of the form:
:<math> f(t) = \frac{1}{2} a_0 + \sum_{n=1}^{\infty}[a_n \cos(\omega_n t) + b_n \sin(\omega_n t)] </math>
:<math> f(t) = \frac{1}{2} a_0 + \sum_{n=1}^{\infty}[a_n \cos(\omega_n t) + b_n \sin(\omega_n t)] </math>
where, ''n'' is an integer and
where, ''n'' is an integer and
DanielB
346
edits