https://fweb.wallawalla.edu/class-wiki/index.php?action=history&feed=atom&title=SawToothFourier 2026-05-18T08:12:01Z Revision history for this page on the wiki MediaWiki 1.43.0 https://fweb.wallawalla.edu/class-wiki/index.php?title=SawToothFourier&diff=7935&oldid=prev 2010-01-12T21:54:26Z

<p>Pasted in</p> <p><b>New page</b></p><div>&lt;source lang=&quot;text&quot;&gt;<br /> % <br /> % _-_,, ,, _-_- ,, <br /> % ( // || /, _ ; || &#039; <br /> % _|| /&#039;\\ ||/\\ \\/\\ || __ &lt; \, \\/\/\ ||/\ \\ \\/\\ _-_, <br /> % _|| || || || || || || ~||- - /-|| || | | ||_&lt; || || || ||_. <br /> % || || || || || || || ||===|| (( || || | | || | || || || ~ || <br /> % -__-, \\,/ \\ |/ \\ \\ ( \_, | \/\\ \\/\\/ \\,\ \\ \\ \\ ,-_- <br /> % _/ ` <br /> % <br /> % John Hawkins<br /> % LNA<br /> % Sawtooth Wave Fourier Example<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,&#039;k&#039;)<br /> <br /> hold on;<br /> <br /> f=1/2*ones(1,numel(t));<br /> <br /> for n=1:100<br /> <br /> temp=-1/(pi*n)*sin(2*n*pi*t);<br /> <br /> f=f+temp;<br /> <br /> <br /> <br /> plot(t,temp+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,&#039;r&#039;);<br /> <br /> axis equal;<br /> <br /> fontsize=20;<br /> <br /> title({[&#039;Sawtooth Wave Constructed of First 100 Terms&#039;],...<br /> <br /> [&#039;of Fourier Series, Each Term Shown&#039;]},...<br /> <br /> &#039;fontname&#039;,&#039;times&#039;,&#039;fontsize&#039;,fontsize)<br /> <br /> xlabel(&#039;t&#039;); ylabel(&#039;x&#039;);<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(&#039;Sawtooth Wave Constructed of First n Terms&#039;,...<br /> <br /> &#039;fontname&#039;,&#039;times&#039;,&#039;fontsize&#039;,fontsize);<br /> <br /> xlabel(&#039;t&#039;); ylabel(&#039;x&#039;);<br /> <br /> legend(&#039;n=1&#039;,&#039;3&#039;,&#039;5&#039;,&#039;10&#039;,&#039;50&#039;,&#039;100&#039;,&#039;location&#039;,&#039;northwest&#039;);<br /> <br /> &lt;/source&gt;</div>

John.hawkins