Fourier Series for a Periodic Function

Question

Salik Mallick 2020-9-29

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/602197-fourier-series-for-a-periodic-function

编辑： KALYAN ACHARJYA 2020-9-30

采纳的回答： KALYAN ACHARJYA

Why is the graph not complete?

%% Problem 1_Example_17.2

display('Problem 1_Example_17.1')

ao=1/4;

an=[1/[(n^2)*(pi^2)]]*((1-(-1)^n));

N = 100000;

Wo = pi;

t = -1:.001:11;

f = zeros(1,length(t));

for n = 1:2:N

bn = (-1)^n+1;

f = f + an*cos(Wo*n*t) + bn*sin(Wo*n*t);

end

% Plotting and plot formatting is done here

plot(t,f)

axis([-1 11 -1.1 1.1])

title(['Fourier Series Representation w/ ' num2str(N) ' Terms'],'FontSize',16)

xlabel('Time')

ylabel('Function Value')

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Answer 1

KALYAN ACHARJYA 2020-9-30

1
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/602197-fourier-series-for-a-periodic-function#answer_502714

编辑：KALYAN ACHARJYA 2020-9-30

在 MATLAB Online 中打开

display('Problem 1_Example_17.1')
ao=1/4;
N = 100000;
Wo = pi;
t = -1:.001:11;
f = zeros(1,length(t)); 
n =linspace(1,2,length(t)); 
bn = (-1).^n+1;
an=1./((n.^2).*(pi^2)).*((1-(-1).^n)); 
f = f + an.*cos(Wo*n.*t) + bn.*sin(Wo*n.*t); 
% Plotting and plot formatting is done here
plot(t,f);
grid on;
title(['Fourier Series Representation w/ ' num2str(N) ' Terms'],'FontSize',16)
xlabel('Time');
ylabel('Function Value');
axis tight;