ÿþ<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns:st1="urn:schemas-microsoft-com:office:smarttags" xmlns="http://www.w3.org/TR/REC-html40"> <head> <meta http-equiv=Content-Type content="text/html; charset=unicode"> <meta name=ProgId content=Word.Document> <meta name=Generator content="Microsoft Word 12"> <meta name=Originator content="Microsoft Word 12"> <link rel=File-List href="Welcome_files/filelist.xml"> <link rel=Edit-Time-Data href="Welcome_files/editdata.mso"> <link rel=OLE-Object-Data href="Welcome_files/oledata.mso"> <!--[if !mso]> <style> v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} w\:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} </style> <![endif]--><o:SmartTagType namespaceuri="urn:schemas-microsoft-com:office:smarttags" name="time"/> <o:SmartTagType namespaceuri="urn:schemas-microsoft-com:office:smarttags" name="date"/> <!--[if gte mso 9]><xml> <o:DocumentProperties> <o:Author> Robert L. 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considered.<span style='mso-spacerun:yes'>  </span></span><span style='font-family:"Courier New"'><o:p></o:p></span></p> <p class=MsoNormal><o:p>&nbsp;</o:p></p> <p class=MsoNormal><st1:date Month="7" Day="18" Year="2008" w:st="on">07/18/<span class=GramE>2008</span></st1:date><span class=GramE><span style='mso-spacerun:yes'>  </span>08:10</span> PM<span style='mso-spacerun:yes'>           </span>102,912 <a href="Fourier%20Fit.doc"><span style='font-family:"Courier New"'>Fourier Fit.doc</span></a></p> <p class=MsoNormal style='margin-left:.5in'>This document proves that </p> <p class=MsoNormal style='margin-left:.5in'><span style='position:relative; top:14.0pt;mso-text-raise:-14.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1026" type="#_x0000_t75" style='width:218.25pt;height:33.75pt' o:ole=""> <v:imagedata src="Welcome_files/image003.wmz" o:title=""/> </v:shape><![endif]--><![if !vml]><img border=0 width=291 height=45 src="Welcome_files/image004.gif" v:shapes="_x0000_i1026"><![endif]></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1026" DrawAspect="Content" ObjectID="_1285130132"> </o:OLEObject> </xml><![endif]--><span style='mso-tab-count:1'>               </span></p> <p class=MsoNormal style='margin-left:.5in'>Is a least squares fit to d[i] in the sense that it minimizes</p> <p class=MsoNormal style='margin-left:.5in'><span style='position:relative; top:17.0pt;mso-text-raise:-17.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1027" type="#_x0000_t75" style='width:299.25pt;height:39.75pt' o:ole=""> <v:imagedata src="Welcome_files/image005.wmz" o:title=""/> </v:shape><![endif]--><![if !vml]><img border=0 width=399 height=53 src="Welcome_files/image006.gif" v:shapes="_x0000_i1027"><![endif]></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1027" DrawAspect="Content" ObjectID="_1285130133"> </o:OLEObject> </xml><![endif]--></p> <p class=MsoNormal style='margin-left:.5in'><o:p>&nbsp;</o:p></p> <p class=MsoNormal style='margin-left:.5in'><o:p>&nbsp;</o:p></p> <p class=MsoPlainText><span style='font-family:"Courier New"'>08/20/<span class=GramE>2008<span style='mso-spacerun:yes'>  </span>02:33</span> PM<span style='mso-spacerun:yes'>           </span>111,616 <a href="FourierFit2.doc">FourierFit2.doc</a><o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.5in'><span style='position:relative; top:14.0pt;mso-text-raise:-14.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1028" type="#_x0000_t75" style='width:198.75pt;height:33.75pt' o:ole=""> <v:imagedata src="Welcome_files/image007.wmz" o:title=""/> </v:shape><![endif]--><![if !vml]><img border=0 width=265 height=45 src="Welcome_files/image008.gif" v:shapes="_x0000_i1028"><![endif]></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1028" DrawAspect="Content" ObjectID="_1285130134"> </o:OLEObject> </xml><![endif]--><span style='mso-tab-count:1'>        </span></p> <p class=MsoNormal style='margin-left:.5in'><o:p>&nbsp;</o:p></p> <p class=MsoNormal style='margin-left:.5in'>Is a least squares fit to D[m] in the sense that it minimizes</p> <p class=MsoNormal style='margin-left:.5in'><span style='position:relative; top:17.0pt;mso-text-raise:-17.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1029" type="#_x0000_t75" style='width:302.25pt;height:39.75pt' o:ole=""> <v:imagedata src="Welcome_files/image009.wmz" o:title=""/> </v:shape><![endif]--><![if !vml]><img border=0 width=403 height=53 src="Welcome_files/image010.gif" v:shapes="_x0000_i1029"><![endif]></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1029" DrawAspect="Content" ObjectID="_1285130135"> </o:OLEObject> </xml><![endif]--></p> <p class=MsoPlainText><span style='font-family:"Courier New"'><o:p>&nbsp;</o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'><o:p>&nbsp;</o:p></span></p> <p class=MsoPlainText><st1:date Month="7" Day="19" Year="2008" w:st="on"><span style='font-family:"Courier New"'>07/19/<span class=GramE>2008</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>02:08</span></span><span style='font-family: "Courier New"'> PM<span style='mso-spacerun:yes'>            </span>81,429 <a href="Rectangular%20H.htm">Rectangular H.htm</a> <a href="Rectangular%20H.docx">.<span class=SpellE>docx</span></a><o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'><o:p>&nbsp;</o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'> </span>Directory of C:\Public\public_html\Fittery\Complex\FourierFit<o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'><o:p>&nbsp;</o:p></span></p> <p class=MsoPlainText><st1:date Month="6" Day="3" Year="2005" w:st="on"><span style='font-family:"Courier New"'>06/03/<span class=GramE>2005</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>11:38</span></span><span style='font-family: "Courier New"'> AM<span style='mso-spacerun:yes'>             </span>3,625 <a href="NARROW.ZIP">NARROW.ZIP</a> contained in <a href="HOFF.DOC">HOFF.DOC</a><o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="7" Day="11" Year="2005" w:st="on"><span style='font-family:"Courier New"'>07/11/<span class=GramE>2005</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>05:23</span></span><span style='font-family: "Courier New"'> PM<span style='mso-spacerun:yes'>             </span>1,945 <a href="NPERMPER.ZIP">NPERMPER.ZIP</a> contained in <a href="Periodicity.doc">Periodicity.doc</a><o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="6" Day="1" Year="2005" w:st="on"><span style='font-family:"Courier New"'>06/01/<span class=GramE>2005</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>02:17</span></span><span style='font-family: "Courier New"'> PM<span style='mso-spacerun:yes'>             </span>4,545 <a href="PLOWP2.ZIP">PLOWP2.ZIP</a> contained in <a href="Low%20pass%20filters3.doc">Low pass filters3.doc</a> in errf section<o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="5" Day="30" Year="2005" w:st="on"><span style='font-family:"Courier New"'>05/30/<span class=GramE>2005</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>01:49</span></span><span style='font-family: "Courier New"'> PM<span style='mso-spacerun:yes'>             </span>3,618 <a href="PLOWPASS.ZIP">PLOWPASS.ZIP</a><span style='mso-spacerun:yes'>  </span>contained in <a href="Practical%20Low%20Pass%20Filter%208192.doc">Practical Low Pass Filter 8192.doc</a><o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="1" Day="11" Year="2005" w:st="on"><span style='font-family:"Courier New"'>01/11/<span class=GramE>2005</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>02:02</span></span><span style='font-family: "Courier New"'> PM<span style='mso-spacerun:yes'>               </span>416 <a href="FLATH.FOR">FLATH.FOR</a><o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'><o:p>&nbsp;</o:p></span></p> <p class=MsoPlainText><st1:date Month="3" Day="23" Year="2006" w:st="on"><span style='font-family:"Courier New"'>03/23/<span class=GramE>2006</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>05:17</span></span><span style='font-family: "Courier New"'> AM<span style='mso-spacerun:yes'>           </span>777,216 <a href="Ideal%20low%20pass%20filter.doc">Ideal low pass filter.doc</a>  used in<a href="../../../Fourier/Finite%20Integral%20Fourier%20Transform.doc">\Fourier\Finite Integral Fourier Transform.doc</a><o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="7" Day="26" Year="2005" w:st="on"><span style='font-family:"Courier New"'>07/26/<span class=GramE>2005</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'> <span style='mso-spacerun:yes'> </span>07:12</span></span><span style='font-family: "Courier New"'> AM<span style='mso-spacerun:yes'>           </span>207,872 <a href="IdealFilter.doc">IdealFilter.doc</a>  needs rewriting, but math is right<o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="7" Day="26" Year="2005" w:st="on"><span style='font-family:"Courier New"'>07/26/<span class=GramE>2005</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>07:24</span></span><span style='font-family: "Courier New"'> AM<span style='mso-spacerun:yes'>         </span>2,599,936 <a href="IdealNarrowFilter.doc">IdealNarrowFilter.doc</a><o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="5" Day="26" Year="2005" w:st="on"><span style='font-family:"Courier New"'>05/26/<span class=GramE>2005</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>11:32</span></span><span style='font-family: "Courier New"'> AM<span style='mso-spacerun:yes'>           </span>668,672 <a href="Low%20pass%20filters.doc">Low pass filters.doc</a><o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="5" Day="26" Year="2005" w:st="on"><span style='font-family:"Courier New"'>05/26/<span class=GramE>2005</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>06:23</span></span><span style='font-family: "Courier New"'> PM<span style='mso-spacerun:yes'>           </span>684,544 <a href="Low%20pass%20filters2.doc">Low pass filters2.doc</a><o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="7" Day="5" Year="2005" w:st="on"><span style='font-family:"Courier New"'>07/05/<span class=GramE>2005</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>09:05</span></span><span style='font-family: "Courier New"'> AM<span style='mso-spacerun:yes'>           </span>919,552 <a href="Low%20pass%20filters3.doc">Low pass filters3.doc</a>  has both ideal and practical filters links to <a href="PLOWP2.ZIP">PLOWP2.ZIP</a><o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="5" Day="4" Year="2008" w:st="on"><span style='font-family:"Courier New"'>05/04/<span class=GramE>2008</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>10:52</span></span><span style='font-family: "Courier New"'> AM<span style='mso-spacerun:yes'>           </span>119,296 <a href="Periodicity.doc">Periodicity.doc</a> integral </span><span style='font-family:Wingdings;mso-ascii-font-family:"Courier New";mso-hansi-font-family: "Courier New";mso-bidi-font-family:"Courier New";mso-char-type:symbol; mso-symbol-font-family:Wingdings'><span style='mso-char-type:symbol;mso-symbol-font-family: Wingdings'>à</span></span><span style='font-family:"Courier New"'> discrete contains <a href="NPERMPER.ZIP">NPERMPER.ZIP</a><o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'><a href="../../../../templigo/tempButter9-29-05.zip">\Public\templigo\tempButter9-29-05.zip</a>  9/25/2005<o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'><a href="../../../../templigo/tempButter"><span class=SpellE>templigo</span>\<span class=SpellE>tempButter</span></a><o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'><a href="../../../../templigo/Butterworth">templigo\Butterworth</a><o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'><a href="../../../../templigo/Nyquist"><span class=SpellE>templigo</span>\<span class=SpellE>Nyquist</span></a> <a href="../../../../templigo/Nyquist/Welcome.doc">Welcome.doc</a> <o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'><o:p>&nbsp;</o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'><o:p>&nbsp;</o:p></span></p> <p class=MsoPlainText><st1:date Month="6" Day="3" Year="2005" w:st="on"><span style='font-family:"Courier New"'>06/03/<span class=GramE>2005</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>01:17</span></span><span style='font-family: "Courier New"'> PM<span style='mso-spacerun:yes'>            </span>94,720 <a href="HOFF.DOC">HOFF.DOC</a> contains <a href="NARROW.ZIP">NARROW.ZIP</a><o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="7" Day="1" Year="2004" w:st="on"><span style='font-family:"Courier New"'>07/01/2004</span></st1:date><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span><st1:time Hour="11" Minute="55" w:st="on">11:55 AM</st1:time><span style='mso-spacerun:yes'>           </span>112,128 A flat topped frequency function.doc<o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="10" Day="28" Year="2004" w:st="on"><span style='font-family:"Courier New"'>10/28/2004</span></st1:date><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span><st1:time Hour="16" Minute="17" w:st="on">04:17 PM</st1:time><span style='mso-spacerun:yes'>           </span>562,176 A flat topped H.doc<o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="2" Day="26" Year="2004" w:st="on"><span style='font-family:"Courier New"'>02/26/2004</span></st1:date><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>11:19 AM<span style='mso-spacerun:yes'>            </span>31,744 AIG.OUT<o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="1" Day="11" Year="2005" w:st="on"><span style='font-family:"Courier New"'>01/11/2005</span></st1:date><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span><st1:time Hour="12" Minute="33" w:st="on">12:33 PM</st1:time><span style='mso-spacerun:yes'>               </span>883 aigau.for<o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'>05/23/<span class=GramE>2005<span style='mso-spacerun:yes'>  </span>10:55</span> AM<span style='mso-spacerun:yes'>       </span><span style='mso-spacerun:yes'>  </span>1,703,936 <a href="AiGauss.doc">AiGauss.doc</a><o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="2" Day="26" Year="2004" w:st="on"><span style='font-family:"Courier New"'>02/26/<span class=GramE>2004</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>03:41</span></span><span style='font-family: "Courier New"'> PM<span style='mso-spacerun:yes'>             </span>1,932 AIGauss.for<o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="7" Day="18" Year="2008" w:st="on"><span style='font-family:"Courier New"'>07/18/2008</span></st1:date><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>08:54 PM<span style='mso-spacerun:yes'>             </span>1,518 Command Prompt.lnk<o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="9" Day="6" Year="2005" w:st="on"><span style='font-family:"Courier New"'>09/06/2005</span></st1:date><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>05:27 AM<span style='mso-spacerun:yes'>            </span>61,440 Error function filter.doc<o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="9" Day="27" Year="2005" w:st="on"><span style='font-family:"Courier New"'>09/27/2005</span></st1:date><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>03:06 PM<span style='mso-spacerun:yes'>          </span><span style='mso-spacerun:yes'>  </span>24,064 ErrorFunction.doc<o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="9" Day="4" Year="2005" w:st="on"><span style='font-family:"Courier New"'>09/04/<span class=GramE>2005</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>09:32</span></span><span style='font-family: "Courier New"'> PM<span style='mso-spacerun:yes'>            </span>44,544 <a href="Figure%201%20%20Error%20function%20filter.doc">Figure 1<span style='mso-spacerun:yes'>  </span>Error function filter.doc</a><o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="3" Day="7" Year="2006" w:st="on"><span style='font-family:"Courier New"'>03/07/<span class=GramE>2006</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>02:40</span></span><span style='font-family: "Courier New"'> PM<span style='mso-spacerun:yes'>            </span>33,792 <a href="FlatH.doc">FlatH.doc</a> contains <a href="FLATH.FOR">FLATH.FOR</a><o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="7" Day="26" Year="2005" w:st="on"><span style='font-family:"Courier New"'>07/26/<span class=GramE>2005</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>07:54</span></span><span style='font-family: "Courier New"'> AM<span style='mso-spacerun:yes'>           </span>219,136 <a href="Narrow%20Filter.doc">Narrow Filter.doc</a><o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="6" Day="1" Year="2005" w:st="on"><span style='font-family:"Courier New"'>06/01/<span class=GramE>2005</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>01:31</span></span><span style='font-family: "Courier New"'> PM<span style='mso-spacerun:yes'>           </span>144,896 <a href="Practical%20Low%20Pass%20Filter%208192.doc">Practical Low Pass Filter 8192.doc</a> Contains <a href="PLOWPASS.ZIP">PLOWPASS.ZIP</a><o:p></o:p></span></p> <p class=MsoPlainText><st1:date Month="5" Day="24" Year="2005" w:st="on"><span style='font-family:"Courier New"'>05/24/<span class=GramE>2005</span></span></st1:date><span class=GramE><span style='font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>02:41</span></span><span style='font-family: "Courier New"'> PM<span style='mso-spacerun:yes'>           </span>148,992 Practical low pass filter.doc<o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'><o:p>&nbsp;</o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'>07/22/<span class=GramE>2008<span style='mso-spacerun:yes'>  </span>06:52</span> AM<span style='mso-spacerun:yes'>           </span>781,824 Rhomboid1 H.doc<o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'>07/23/<span class=GramE>2008<span style='mso-spacerun:yes'>  </span>02:18</span> PM<span style='mso-spacerun:yes'>           </span>126,976 Rhomboid2 H.doc<o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'>07/23/<span class=GramE>2008<span style='mso-spacerun:yes'>  </span>04:01</span> PM<span style='mso-spacerun:yes'>     </span><span style='mso-spacerun:yes'>      </span>135,168 <span class=SpellE>RhomboidL</span> H.doc<o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'>07/28/<span class=GramE>2008<span style='mso-spacerun:yes'>  </span>05:41</span> PM<span style='mso-spacerun:yes'>            </span>76,288 ohIntegralSum.doc<o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'>07/29/<span class=GramE>2008<span style='mso-spacerun:yes'>  </span>11:05</span> AM<span style='mso-spacerun:yes'>            </span>97,792 Integral.doc<o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'>07/29/<span class=GramE>2008<span style='mso-spacerun:yes'>  </span>11:06</span> AM<span style='mso-spacerun:yes'>            </span>60,416 Integra1rep.doc<o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'>07/29/<span class=GramE>2008<span style='mso-spacerun:yes'>  </span>09:22</span> PM<span style='mso-spacerun:yes'>            </span>46,592 hIntegralSum.doc<o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'>08/03/<span class=GramE>2008<span style='mso-spacerun:yes'>  </span>12:44</span> PM<span style='mso-spacerun:yes'>           </span>131,072 <a href="FourierFit3.doc">FourierFit3.doc</a><o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.5in'><span style='position:relative; top:14.0pt;mso-text-raise:-14.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1030" type="#_x0000_t75" style='width:227.25pt;height:33.75pt' o:ole=""> <v:imagedata src="Welcome_files/image011.wmz" o:title=""/> </v:shape><![endif]--><![if !vml]><img border=0 width=303 height=45 src="Welcome_files/image012.gif" v:shapes="_x0000_i1030"><![endif]></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1030" DrawAspect="Content" ObjectID="_1285130136"> </o:OLEObject> </xml><![endif]--><span style='mso-tab-count:1'>           </span></p> <p class=MsoNormal style='margin-left:.5in'>Is a least squares fit to d[<span class=SpellE>i</span>] in the sense that it minimizes</p> <p class=MsoNormal style='margin-left:.5in'><span style='position:relative; top:51.0pt;mso-text-raise:-51.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1031" type="#_x0000_t75" style='width:375.75pt;height:108pt' 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style='mso-spacerun:yes'>        </span>35,840 Zero Padding Rec.doc  recovered version of zero padding<o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'>08/06/<span class=GramE>2008<span style='mso-spacerun:yes'>  </span>09:52</span> AM<span style='mso-spacerun:yes'>            </span>59,904 <a href="Zero%20Padding.doc">Zero Padding.doc</a><o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'>08/23/<span class=GramE>2008<span style='mso-spacerun:yes'>  </span>07:34</span> PM<span style='mso-spacerun:yes'>           </span>204,288 SpecCaseA.doc<o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'>08/23/<span class=GramE>2008<span style='mso-spacerun:yes'>  </span>08:48</span> PM<span style='mso-spacerun:yes'>           </span>265,216 SpecificCase.doc<o:p></o:p></span></p> <p class=MsoPlainText><span style='font-family:"Courier New"'>08/25/<span class=GramE>2008<span style='mso-spacerun:yes'>  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