Please enable JavaScript.
Coggle requires JavaScript to display documents.
AC3 - Coggle Diagram
AC3
Fourier Series
-
A Fourier series is an expansion of a periodic function f(x) in terms of an infinite sum of sines and cosines. Fourier series make use of the orthogonality relationships of the sine and cosine functions.
A function is periodic of period L if f(x+L) = f(x) for all x in the domain of f. The smallest positive value of L is called the fundamental period.
-
Odd and even functions
A function f(x) is said to be even if f(−x) = f(x).
The function f(x) is said to be odd if f(−x) = −f(x).
To find a Fourier series, it is sufficient to calculate the integrals that give the coefficients a0, an, and bn and plug them into the big series formula.
f(x) = a0 + somatorio(n = 1, ∞, ancos(nπx/L) ) + somatorio(n = 1, ∞, bnsin(nπx/L))
somatorio -> ( início, fim, o que vai ser somado)
-
-
-
-