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Sawtooth2 Matlab Code - Revision history
2026-05-18T09:46:58Z
Revision history for this page on the wiki
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https://fweb.wallawalla.edu/class-wiki/index.php?title=Sawtooth2_Matlab_Code&diff=8381&oldid=prev
John.hawkins at 00:49, 20 January 2010
2010-01-20T00:49:12Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:49, 19 January 2010</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>% John Hawkins</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>% John Hawkins</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>% LNA</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>% LNA</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>% Sawtooth Wave Fourier Example</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>% Sawtooth Wave Fourier Example</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>% 12 Jan 2010</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>% 12 Jan 2010</div></td></tr>
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John.hawkins
https://fweb.wallawalla.edu/class-wiki/index.php?title=Sawtooth2_Matlab_Code&diff=8380&oldid=prev
John.hawkins: New page: <source lang="matlab"> % % _-_,, ,, _-_- ,, % ( // ...
2010-01-20T00:48:31Z
<p>New page: <source lang="matlab"> % % _-_,, ,, _-_- ,, % ( // ...</p>
<p><b>New page</b></p><div><source lang="matlab"><br />
<br />
% <br />
<br />
% _-_,, ,, _-_- ,, <br />
<br />
% ( // || /, _ ; || ' <br />
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% _|| /'\\ ||/\\ \\/\\ || __ < \, \\/\/\ ||/\ \\ \\/\\ _-_, <br />
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% _|| || || || || || || ~||- - /-|| || | | ||_< || || || ||_. <br />
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% || || || || || || || ||===|| (( || || | | || | || || || ~ || <br />
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% -__-, \\,/ \\ |/ \\ \\ ( \_, | \/\\ \\/\\/ \\,\ \\ \\ \\ ,-_- <br />
<br />
% _/ ` <br />
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% <br />
<br />
% John Hawkins<br />
<br />
% LNA<br />
<br />
% Sawtooth Wave Fourier Example<br />
<br />
% 12 Jan 2010<br />
<br />
t=linspace(-1,1,1000);<br />
<br />
x=t-floor(t);<br />
<br />
figure<br />
<br />
plot(t,x,'k')<br />
<br />
hold on;<br />
<br />
f=1/2*ones(1,numel(t));<br />
<br />
for n=1:100<br />
<br />
Plus=j/(2*pi*n)*exp(j*2*pi*n*t);<br />
<br />
Minus=j/(2*pi*-n)*exp(j*2*pi*-n*t);<br />
<br />
f=f+Plus+Minus;<br />
<br />
<br />
<br />
plot(t,Plus+Minus+1/2);<br />
<br />
<br />
<br />
switch n<br />
<br />
case 1<br />
<br />
f1=f;<br />
<br />
case 3<br />
<br />
f3=f;<br />
<br />
case 5<br />
<br />
f5=f;<br />
<br />
case 10<br />
<br />
f10=f;<br />
<br />
case 50<br />
<br />
f50=f;<br />
<br />
end<br />
<br />
end<br />
<br />
plot(t,f,'r');<br />
<br />
axis equal;<br />
<br />
fontsize=20;<br />
<br />
title({['Sawtooth Wave Constructed of First 100 Terms'],...<br />
<br />
['of Fourier Series, Each Term Shown']},...<br />
<br />
'fontname','times','fontsize',fontsize)<br />
<br />
xlabel('t'); ylabel('x');<br />
<br />
figure<br />
<br />
plot(t,f-x)<br />
<br />
title('Error when x(t) is Truncated after 100 Terms',...<br />
<br />
'fontname','times','fontsize',fontsize)<br />
<br />
xlabel('Error'); ylabel('t');<br />
<br />
figure<br />
<br />
plot(t,f1,t,f3,t,f5,t,f10,t,f50,t,f)<br />
<br />
axis equal<br />
<br />
title('Sawtooth Wave Constructed of First n Terms',...<br />
<br />
'fontname','times','fontsize',fontsize);<br />
<br />
xlabel('t'); ylabel('x');<br />
<br />
legend('n=1','3','5','10','50','100','location','northwest');<br />
<br />
</source></div>
John.hawkins