How to plot gt please help me ????
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syms y(x)
y(x) = piecewise(-0.5<x<0,(2+4*x),0<=x<+0.5,(2-4*x), 0);
figure; %tmin=-6;tmax=6;N=100; want these limits -6<=x<=6
fplot(y);
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Dimitris Kalogiros
2018-9-7
编辑：Dimitris Kalogiros
2018-9-7
clear; clc;
syms t g(x) x(t)
g(t) = piecewise(-0.5<t<0,(2+4*t),0<=t<+0.5,(2-4*t), 0)
x(t)=sym(0);
for k=-6:1:6
x(t)=x(t)+g(t-k);
end
subplot(2,1,1); fplot(g, [-6 6 ]);
grid on; zoom on; ylim([-0.1 2.1])
xlabel('t'); ylabel('g(t)'); title('one period')
subplot(2,1,2); fplot(x, [-6 6 ]);
grid on; zoom on; ylim([-0.1 2.1])
xlabel('t'); ylabel('x(t)'); title('signal x(t)')
...and if you run it:
6 个评论
yie don
2018-9-7
Dimitris Kalogiros
2018-9-7
clear; clc;
%%definition of periodic signal
syms t g(x) x(t)
g(t) = piecewise(-0.5<t<0,(2+4*t),0<=t<+0.5,(2-4*t), 0)
x(t)=sym(0);
for k=-6:1:6
x(t)=x(t)+g(t-k);
end
subplot(2,1,1); fplot(g, [-6 6 ]);
grid on; zoom on; ylim([-0.1 2.1])
xlabel('t'); ylabel('g(t)'); title('one period')
subplot(2,1,2); fplot(x, [-6 6 ]);
grid on; zoom on; ylim([-0.1 2.1])
xlabel('t'); ylabel('x(t)'); title('signal x(t)')
%%fourier coefficients
syms a0 T k
syms a(k)
% in our example T=1 and -1/2<t<1/2
a_0=int(g(t),t,-1/2,1/2)
a(k)=int(g(t)*exp(-1i*k*(2*pi)*t),t,-1/2,1/2)
% we are able to evaluate fourier coefficients for every k we like
a(1)
a(-1)
a(3)
a(-3)
Adam
2018-9-7
Please don't use flags where a comment or voting for an answer is more appropriate. Flags are for reporting spam or inappropriate questions/answers/comments, not just for adding a comment about an answer.
Moved from flag:
"Flagged by yie don about 4 hours ago. Best anser"
yie don
2018-9-8
Dimitris Kalogiros
2018-9-8
This is my last contribution...
Keep in mind that for your example fourier coefficients are, after all, real numbers and are not zero for add index or 0.
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