(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.0' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 2768266, 52359]*) (*NotebookOutlinePosition[ 2783062, 52900]*) (* CellTagsIndexPosition[ 2783018, 52896]*) (*WindowFrame->Normal*) Notebook[{ Cell["Power spectral analysis", "Title"], Cell[TextData[{ "This notebook has been written in ", StyleBox["Mathematica ", FontSlant->"Italic"], "by \n\n", StyleBox["Mark J. McCready\nProfessor and Chair of Chemical and \ Biomolecular Engineering\nUniversity of Notre Dame\nNotre Dame IN 46556\nUSA", FontSize->14], "\n\n", ButtonBox["Mark.J.McCready.1@nd.edu", ButtonData:>{ URL[ "mailto:mccready.1@nd.edu"], None}, ButtonStyle->"Hyperlink"], "\n", ButtonBox["http://www.nd.edu/~mjm/", ButtonData:>{ URL[ "http://www.nd.edu/~mjm/"], None}, ButtonStyle->"Hyperlink"], "\n\n\nIt is copyrighted to the extent allowed by whatever laws pertain to \ the World Wide Web and the Internet.\n\nI would hope that as a professional \ courtesy that this notice remain visible to other users. \nThere is no charge \ for copying and dissemination \n\nVersion: 02/02/04\n " }], "Text"], Cell["\<\ This notebook is intended as a first primer for engineers to learn \ about power spectral analysis of time series. 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Is there \ anything there?\n\nThe first thing that you would do is, ", StyleBox["Spectral Analysis", FontSlant->"Italic"], ". Let's do it and then see if we can understand what we did. \n\nLet's \ do the standard FFT thing" }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(z1fft = Fourier[zz]\)], "Input", CellLabel->"In[9]:="], Cell[BoxData[ \({\(\(7.845658203988351`\)\(\[InvisibleSpace]\)\) + 0.`\ \[ImaginaryI], \(\(0.5341728575287651`\)\(\[InvisibleSpace]\)\) \ - 0.24817351508469598`\ \[ImaginaryI], \(-0.06893668855756775`\) + 0.02503026385169841`\ \[ImaginaryI], \(-0.08154686666179178`\) - 0.09903462561362872`\ \[ImaginaryI], \(-0.3107007858099069`\) + 0.5411707335096274`\ \[ImaginaryI], \(\(0.3214652269992608`\)\(\ \[InvisibleSpace]\)\) + 0.006576762297443445`\ \[ImaginaryI], \(-0.02901775885445984`\) - 0.08288088347376996`\ \[ImaginaryI], \(-0.199718192460788`\) + 0.15576400467266954`\ \[ImaginaryI], \(-0.4315937030228543`\) - 0.1151992513230208`\ \[ImaginaryI], \(-0.251097479267634`\) + 0.008353496409846575`\ \[ImaginaryI], \(\(0.1306821727837257`\)\(\ \[InvisibleSpace]\)\) + 0.0006676045453620078`\ 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