Plotting cycles of signal

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Ben Hamill
Ben Hamill on 30 Jul 2020
Answered: Surya Talluri on 6 Aug 2020
z(t) = ( t if − π ≤ t < 0 )
( 1 if 0 ≤ t ≤ π )
How do i plot 3 cycles of the above signal and find the fourier series

Answers (1)

Surya Talluri
Surya Talluri on 6 Aug 2020
I understand that you want to plot 3 periods of the signal and obtain its Fourier Series.
t = [-pi:0.1:0 0:0.1:pi];
z = [-pi:0.1:0 ones([1, numel(0:0.1:pi)])];
t3 = [t t(2:end)+2*pi t(2:end)+4*pi];
z3 = [z z(2:end) z(2:end)];
plot(t3,z3)
ylim([-pi, pi])
xlim([-pi, 5*pi])
grid on
You can obtain Fourier series coefficients of a signal by using fit function in our Curve Fitting Toolbox or by using Curve Fitting App.
f = fit(t3',z3', 'fourier8');
plot(f, t3, z3)
You can find the fourier coefficients and their values with coeffnames and coeffvalues functions.
You can access the following documentation for further understanding:

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