Fourier series sawtooth wave

Question

Paul Velasco 2019-11-13

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/490763-fourier-series-sawtooth-wave

编辑： randerss simil 2021-2-16

Im trying to create a sawtooth wave but the code i have gives me a square wave. Not sure what i need to change, maybe my values for ap and bp? Sorry im not very good at matlab. Thanks in advance.

T=input('what is the period');
p=input('how many coefficients');
t=linspace(0,3*T,100);
N=10;
 
bp=sin(80)/320 - cos(80)/4;
ap=sin(80)/4 - sin(40)^2/160;
 
sum=0;
for p=1:N
Sum=(Sum+(N*ap*cos(2*pi*p*t/T))+(N*bp*sin(2*pi*p*t/T)));
end
F=Sum;
figure(1);
plot(t,F);

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Walter Roberson 2019-11-13

http://mathworld.wolfram.com/FourierSeriesSawtoothWave.html

Paul Velasco 2019-11-13

These are the equations i have, they dont give me a sawtooth graph

syms t T p

T=input('what is the period');

p=input('how many coefficients');

y=10;

f=t/(2*T);

global ap bp

ap=(2/T).*int((f.*cos(p*2*pi*t/T)),t,0,T);

bp=(2/T).*int((f.*sin(p*2*pi*t/T)),t,0,T);

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Answer 1

Urmila Rajpurohith 2019-11-15

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/490763-fourier-series-sawtooth-wave#answer_401669

You can use “sawtooth” function in MATLAB to create a sawtooth wave.

You can refer to below documentation for more information on “sawtooth” function.

https://www.mathworks.com/help/signal/ref/sawtooth.html

you can also have a look at the similar question:

https://www.mathworks.com/matlabcentral/answers/165393-need-help-to-plot-sawtooth-wave-matlab?s_tid=answers_rc1-2_p2_Topic

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Answer 2

randerss simil 2021-2-16

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/490763-fourier-series-sawtooth-wave#answer_624387

编辑：randerss simil 2021-2-16

在 MATLAB Online 中打开

T=input('what is the period');
p=input('how many coefficients');
t=linspace(0,3*T,100);
N=10;
 
bp=sin(90)/90 - cos(0);
ap=sin(90) - sin(45)^2/90;
 
xsum=0;  % avoid standard matlab functions e.g. sum 
for p=1:N
xsum=(xsum+(N*ap*cos(2*pi*p.*t/T))+(N*bp*sin(2*pi*p.*t/T))); % use dot for indexing element wise multiplication
end
F=xsum;
figure(1);
plot(t,F);