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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
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  <title>What are LTPDA spectral windows? (LTPDA Toolbox)</title>
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  <p style="font-size:1px;">&nbsp;</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>&nbsp;&nbsp;&nbsp;<a href=
      "specwin_using.html"><img src="b_next.gif" border="0" align=
      "bottom" alt="Using spectral windows"></a></td>
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  </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>
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  "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>&nbsp;</td>

      <td align="left">Spectral Windows</td>

      <td>&nbsp;</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">&copy;LTP Team</p>
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