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author | Daniele Nicolodi <nicolodi@science.unitn.it> |
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date | Tue, 06 Dec 2011 19:07:27 +0100 |
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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/1999/REC-html401-19991224/loose.dtd"> <html lang="en"> <head> <meta name="generator" content= "HTML Tidy for Mac OS X (vers 1st December 2004), see www.w3.org"> <meta http-equiv="Content-Type" content= "text/html; charset=us-ascii"> <title>What are LTPDA spectral windows? (LTPDA Toolbox)</title> <link rel="stylesheet" href="docstyle.css" type="text/css"> <meta name="generator" content="DocBook XSL Stylesheets V1.52.2"> <meta name="description" content= "Presents an overview of the features, system requirements, and starting the toolbox."> </head> <body> <a name="top_of_page" id="top_of_page"></a> <p style="font-size:1px;"> </p> <table class="nav" summary="Navigation aid" border="0" width= "100%" cellpadding="0" cellspacing="0"> <tr> <td valign="baseline"><b>LTPDA Toolbox</b></td><td><a href="../helptoc.html">contents</a></td> <td valign="baseline" align="right"><a href= "specwin.html"><img src="b_prev.gif" border="0" align= "bottom" alt="Spectral Windows"></a> <a href= "specwin_using.html"><img src="b_next.gif" border="0" align= "bottom" alt="Using spectral windows"></a></td> </tr> </table> <h1 class="title"><a name="f3-12899" id="f3-12899"></a>What are LTPDA spectral windows?</h1> <hr> <p> <p> MATLAB already contains a number of window functions suitable for spectral analysis. However, these functions simply return vectors of window samples; no additional information is given. It is also desirable to have more information about a window function, for example, its normalised equivalent noise bandwidth (NENBW), its peak side-lobe level (PSLL), and its recommended overlap (ROV). </p> <p> The <a href="class_desc_specwin.html"><tt>specwin</tt></a> class implements many window functions as class objects that contain many descriptive properties. The following table lists the available window functions and some of their properties: </p> <div align="center"> <table cellspacing="0" class="body" cellpadding="4" border="2"> <colgroup> <col width="37%"> <col width="63%"> </colgroup> <thead> <tr valign="top"> <th bgcolor="#B2B2B2">Window name</th> <th bgcolor="#B2B2B2">NENBW</th> <th bgcolor="#B2B2B2">PSLL [dB]</th> <th bgcolor="#B2B2B2">ROV [%]</th> </tr> </thead> <tbody> <!-- Rectangular --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>Rectangular</p> </td> <td bgcolor="#F2F2F2"> <p>1.000</p> </td> <td bgcolor="#F2F2F2"> <p>-13.3</p> </td> <td bgcolor="#F2F2F2"> <p>0.0</p> </td> </tr> <!-- Welch --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>Welch</p> </td> <td bgcolor="#F2F2F2"> <p>1.200</p> </td> <td bgcolor="#F2F2F2"> <p>-21.3</p> </td> <td bgcolor="#F2F2F2"> <p>29.3</p> </td> </tr> <!-- Bartlett --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>Bartlett</p> </td> <td bgcolor="#F2F2F2"> <p>1.333</p> </td> <td bgcolor="#F2F2F2"> <p>-26.5</p> </td> <td bgcolor="#F2F2F2"> <p>50.0</p> </td> </tr> <!-- Hanning --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>Hanning</p> </td> <td bgcolor="#F2F2F2"> <p>1.500</p> </td> <td bgcolor="#F2F2F2"> <p>-31.5</p> </td> <td bgcolor="#F2F2F2"> <p>50.0</p> </td> </tr> <!-- Hamming --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>Hamming</p> </td> <td bgcolor="#F2F2F2"> <p>1.363</p> </td> <td bgcolor="#F2F2F2"> <p>-42.7</p> </td> <td bgcolor="#F2F2F2"> <p>50.0</p> </td> </tr> <!-- Nuttall3 --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>Nuttall3</p> </td> <td bgcolor="#F2F2F2"> <p>1.944</p> </td> <td bgcolor="#F2F2F2"> <p>-46.7</p> </td> <td bgcolor="#F2F2F2"> <p>64.7</p> </td> </tr> <!-- Nuttall4 --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>Nuttall4</p> </td> <td bgcolor="#F2F2F2"> <p>2.310</p> </td> <td bgcolor="#F2F2F2"> <p>-60.9</p> </td> <td bgcolor="#F2F2F2"> <p>70.5</p> </td> </tr> <!-- Nuttall3a --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>Nuttall3a</p> </td> <td bgcolor="#F2F2F2"> <p>1.772</p> </td> <td bgcolor="#F2F2F2"> <p>-64.2</p> </td> <td bgcolor="#F2F2F2"> <p>61.2</p> </td> </tr> <!-- Nuttall3b --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>Nuttall3b</p> </td> <td bgcolor="#F2F2F2"> <p>1.704</p> </td> <td bgcolor="#F2F2F2"> <p>-71.5</p> </td> <td bgcolor="#F2F2F2"> <p>59.8</p> </td> </tr> <!-- Nuttall4a --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>Nuttall4a</p> </td> <td bgcolor="#F2F2F2"> <p>2.125</p> </td> <td bgcolor="#F2F2F2"> <p>-82.6</p> </td> <td bgcolor="#F2F2F2"> <p>68.0</p> </td> </tr> <!-- Nuttall4b --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>Nuttall4b</p> </td> <td bgcolor="#F2F2F2"> <p>2.021</p> </td> <td bgcolor="#F2F2F2"> <p>-93.3</p> </td> <td bgcolor="#F2F2F2"> <p>66.3</p> </td> </tr> <!-- Nuttall4c --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>Nuttall4c</p> </td> <td bgcolor="#F2F2F2"> <p>1.976</p> </td> <td bgcolor="#F2F2F2"> <p>-98.1</p> </td> <td bgcolor="#F2F2F2"> <p>65.6</p> </td> </tr> <!-- BH92 --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>BH92</p> </td> <td bgcolor="#F2F2F2"> <p>2.004</p> </td> <td bgcolor="#F2F2F2"> <p>-92.0</p> </td> <td bgcolor="#F2F2F2"> <p>66.1</p> </td> </tr> <!-- SFT3F --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>SFT3F</p> </td> <td bgcolor="#F2F2F2"> <p>3.168</p> </td> <td bgcolor="#F2F2F2"> <p>-31.7</p> </td> <td bgcolor="#F2F2F2"> <p>66.7</p> </td> </tr> <!-- SFT3M --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>SFT3M</p> </td> <td bgcolor="#F2F2F2"> <p>2.945</p> </td> <td bgcolor="#F2F2F2"> <p>-44.2</p> </td> <td bgcolor="#F2F2F2"> <p>65.5</p> </td> </tr> <!-- FTNI --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>FTNI</p> </td> <td bgcolor="#F2F2F2"> <p>2.966</p> </td> <td bgcolor="#F2F2F2"> <p>-44.4</p> </td> <td bgcolor="#F2F2F2"> <p>65.6</p> </td> </tr> <!-- SFT4F --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>SFT4F</p> </td> <td bgcolor="#F2F2F2"> <p>3.797</p> </td> <td bgcolor="#F2F2F2"> <p>-44.7</p> </td> <td bgcolor="#F2F2F2"> <p>75.0</p> </td> </tr> <!-- SFT5F --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>SFT5F</p> </td> <td bgcolor="#F2F2F2"> <p>4.341</p> </td> <td bgcolor="#F2F2F2"> <p>-57.3</p> </td> <td bgcolor="#F2F2F2"> <p>78.5</p> </td> </tr> <!-- SFT4M --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>SFT4M</p> </td> <td bgcolor="#F2F2F2"> <p>3.387</p> </td> <td bgcolor="#F2F2F2"> <p>-66.5</p> </td> <td bgcolor="#F2F2F2"> <p>72.1</p> </td> </tr> <!-- FTHP --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>FTHP</p> </td> <td bgcolor="#F2F2F2"> <p>3.428</p> </td> <td bgcolor="#F2F2F2"> <p>-70.4</p> </td> <td bgcolor="#F2F2F2"> <p>72.3</p> </td> </tr> <!-- HFT70 --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>HFT70</p> </td> <td bgcolor="#F2F2F2"> <p>3.413</p> </td> <td bgcolor="#F2F2F2"> <p>-70.4</p> </td> <td bgcolor="#F2F2F2"> <p>72.2</p> </td> </tr> <!-- FTSRS --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>FTSRS</p> </td> <td bgcolor="#F2F2F2"> <p>3.770</p> </td> <td bgcolor="#F2F2F2"> <p>-76.6</p> </td> <td bgcolor="#F2F2F2"> <p>75.4</p> </td> </tr> <!-- SFT5M --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>SFT5M</p> </td> <td bgcolor="#F2F2F2"> <p>3.885</p> </td> <td bgcolor="#F2F2F2"> <p>-89.9</p> </td> <td bgcolor="#F2F2F2"> <p>76.0</p> </td> </tr> <!-- HFT90D --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>HFT90D</p> </td> <td bgcolor="#F2F2F2"> <p>3.883</p> </td> <td bgcolor="#F2F2F2"> <p>-90.2</p> </td> <td bgcolor="#F2F2F2"> <p>76.0</p> </td> </tr> <!-- HFT95 --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>HFT95</p> </td> <td bgcolor="#F2F2F2"> <p>3.811</p> </td> <td bgcolor="#F2F2F2"> <p>-95.0</p> </td> <td bgcolor="#F2F2F2"> <p>75.6</p> </td> </tr> <!-- HFT116D --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>HFT116D</p> </td> <td bgcolor="#F2F2F2"> <p>4.219</p> </td> <td bgcolor="#F2F2F2"> <p>-116.8</p> </td> <td bgcolor="#F2F2F2"> <p>78.2</p> </td> </tr> <!-- HFT144D --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>HFT144D</p> </td> <td bgcolor="#F2F2F2"> <p>4.539</p> </td> <td bgcolor="#F2F2F2"> <p>-114.1</p> </td> <td bgcolor="#F2F2F2"> <p>79.9</p> </td> </tr> <!-- HFT169D --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>HFT169D</p> </td> <td bgcolor="#F2F2F2"> <p>4.835</p> </td> <td bgcolor="#F2F2F2"> <p>-169.5</p> </td> <td bgcolor="#F2F2F2"> <p>81.2</p> </td> </tr> <!-- HFT196D --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>HFT196D</p> </td> <td bgcolor="#F2F2F2"> <p>5.113</p> </td> <td bgcolor="#F2F2F2"> <p>-196.2</p> </td> <td bgcolor="#F2F2F2"> <p>82.3</p> </td> </tr> <!-- HFT223D --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>HFT223D</p> </td> <td bgcolor="#F2F2F2"> <p>5.389</p> </td> <td bgcolor="#F2F2F2"> <p>-223.0</p> </td> <td bgcolor="#F2F2F2"> <p>83.3</p> </td> </tr> <!-- HFT248D --> <tr valign="top"> <td bgcolor="#F2F2F2"> <p>HFT248D</p> </td> <td bgcolor="#F2F2F2"> <p>5.651</p> </td> <td bgcolor="#F2F2F2"> <p>-248.0</p> </td> <td bgcolor="#F2F2F2"> <p>84.1</p> </td> </tr> </tbody> </table> </div> <p> In addition to these 'standard' windows, Kaiser windows can be designed to give a chosen PSLL. </p> </p> <br> <br> <table class="nav" summary="Navigation aid" border="0" width= "100%" cellpadding="0" cellspacing="0"> <tr valign="top"> <td align="left" width="20"><a href="specwin.html"><img src= "b_prev.gif" border="0" align="bottom" alt= "Spectral Windows"></a> </td> <td align="left">Spectral Windows</td> <td> </td> <td align="right">Using spectral windows</td> <td align="right" width="20"><a href= "specwin_using.html"><img src="b_next.gif" border="0" align= "bottom" alt="Using spectral windows"></a></td> </tr> </table><br> <p class="copy">©LTP Team</p> </body> </html>