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Daniele Nicolodi <nicolodi@science.unitn.it> |
date |
Mon, 05 Dec 2011 18:04:34 +0100 (2011-12-05) |
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<title>What are LTPDA spectral windows? (LTPDA Toolbox)</title>
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<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=
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"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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<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>
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