English Chinese Four partial sums (Fourier series) of lengths 1, 2, 3, and 4 terms. Showing how the approximation to a square wave improves as the number...
English Four partial sums (Fourier series) of lengths 1, 2, 3, and 4 terms. Showing how the approximation to a sawtooth wave improves as the number of...
Sin[n x] + b] n = 3; p0 = Table[Table[ Plot[{Sum[f[j, 0, x], {j, 0, n - 1}], Max[f[n, 2.5 - 4 t^2, x], Sum[f[j, 0, x], {j, 0, n}]] }, {x, -3 \[Pi], 3 \[Pi]}...
export it as an animated GIF*) Export["Sawtooth_Fourier_Animation.gif", Table[GraphicsColumn[{Show[ Plot[2 ((1/2) - (1/Pi)* Sum[(1/n)*Sin[n*Pi*x*2], {n...
English Fourier synthesis of a square wave using six terms of the Fourier series shown using arrows....
it under the following license: English Batman logo approximated with a Fourier series author name string: Jacopo Bertolotti URL: https://commons.wikimedia...
English A Fourier transform and 3 variations caused by periodic sampling (at interval T) and/or periodic summation (at interval P) of the underlying time-domain...
f − k / P ) ⏟ comb 1 / P ( S ( f ) ) {\displaystyle \underbrace {s(t)*\sum _{k=-\infty }^{\infty }\delta (t-kP)} _{\color {BrickRed}\operatorname {rept}...
g[x_] := Exp[-(3/4)*\[Pi] x^2]; repeatedf[x_, p_] := Sum[f[x + n*p], {n, -10, 10}]; repeatedg[x_, p_] := Sum[g[x + n*p], {n, -10, 10}]; plotf = Plot[f[x], {x...
