next up previous contents index
suivant: Discrete Fourier Transform monter: Fourier coefficients : fourier_an précédent: fourier_bn   Table des matières   Index


fourier_cn

fourier_cn takes four or five arguments : an expression expr depending of a variable, the name of this variable (for example x), the period T, an integer n and a real a (by default a = 0).
fourier_cn(expr,x,T,n,a) returns the Fourier coefficient cn of a functionf of variable x defined on [a, a + T[ by f (x) = expr and periodic of period T:

cn = $\displaystyle {\frac{{1}}{{T}}}$$\displaystyle \int_{a}^{{a+T}}$f (x)e$\scriptstyle {\frac{}{}}$-2i$\displaystyle \pi$nxTdx

To simplify the computations, one should input assume(n,integer) before calling fourier_cn to specify that n is an integer.
Examples Remarks :


next up previous contents index
suivant: Discrete Fourier Transform monter: Fourier coefficients : fourier_an précédent: fourier_bn   Table des matières   Index
giac documentation written by Renée De Graeve and Bernard Parisse