Séries de Fourier

Exemplos de séries de Fourier

x = -pi:.001:pi;
y = x;
plot(x,y,'linewidth',2.0)
hold on
n = 5;
soma = 0;
for i=1:n
    soma = soma + (-1)^(i+1)*2/i*sin(i*x);
    plot(x,soma,'r','linewidth',i*.4)
end
xlabel('x')
ylabel('f(x)')
leg = legend('f(x)','n=1','n=2','n=3','n=4','n=5');
set(leg,'Location','Northwest')

clear

x = -pi:.001:pi;
y = x.^2;
plot(x,y,'linewidth',2.0)
hold on
n = 5;
soma = 0;
for i=1:n
    soma = soma + (-1)^(i)*4/i^2*cos(i*x);
    plot(x,pi^2/3 + soma,'r','linewidth',i*.4)
end
xlabel('x')
ylabel('f(x)')
leg = legend('f(x)','n=1','n=2','n=3','n=4','n=5');
set(leg,'Location','Northwest')