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+ − 11 <title>Generating model noise (LTPDA Toolbox)</title>
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+ − 14 <meta name="description" content=
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+ − 15 "Presents an overview of the features, system requirements, and starting the toolbox.">
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+ − 21 <p style="font-size:1px;"> </p>
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+ − 23 <table class="nav" summary="Navigation aid" border="0" width=
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+ − 25 <tr>
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+ − 26 <td valign="baseline"><b>LTPDA Toolbox</b></td><td><a href="../helptoc.html">contents</a></td>
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+ − 28 <td valign="baseline" align="right"><a href=
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+ − 29 "builtin_models.html"><img src="b_prev.gif" border="0" align=
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+ − 30 "bottom" alt="Built-in models of LTPDA"></a> <a href=
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+ − 31 "franklin_ng.html"><img src="b_next.gif" border="0" align=
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+ − 32 "bottom" alt="Franklin noise-generator"></a></td>
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+ − 33 </tr>
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+ − 34 </table>
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+ − 36 <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Generating model noise</h1>
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+ − 37 <hr>
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+ − 39 <p>
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+ − 40 <p>
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+ − 41
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+ − 42 Generating non-white random noise means producing arbitrary long time series with a given spectral density.
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+ − 43 Such time series are needed for example for the following purposes:
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+ − 44 </p>
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+ − 45 <p>
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+ − 46 <ul>
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+ − 47 <li> To generate test data sets for programs that compute spectral densities, </li>
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+ − 48 <li> as inputs for various simulations.</li>
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+ − 49 </ul>
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+ − 50 </p>
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+ − 51 <p>
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+ − 52 One way of doing this is to apply digital filters (FIR or IIR) to white input noise.<br/>
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+ − 53 This approach is effectively implemented for the generation of <a href="ndim_ng.html"> multichannel noise </a>
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+ − 54 with a given cross spectral density. <br/>
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+ − 55 Multichannel transfer functions are identified by an automatic fit procedure based
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+ − 56 on a modified version of the vector-fitting algorithm
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+ − 57 (see <a href="zdomainfit.html"> Z-Domain Fit </a> for further details on the algorithm). <br/>
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+ − 58 Partial fraction expansion of multichannel transfer functions and the implementation of
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+ − 59 <a href="sigproc_dfilt.html">filter</a> state initialization avoid the presence of unwanted 'warm-up period'.
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+ − 60 </p>
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+ − 61
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+ − 62 <p>
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+ − 63 A different approach is implemented in LTPDA as <a href="franklin_ng.html">Franklin noise-generator</a>.<br/>
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+ − 64 It produces spectral densities according to a given pole zero model (see <a href="pzmodel.html">Pole/Zero Modeling</a>) and does not require any warm-up period. <br/>
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+ − 65 </p>
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+ − 66
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+ − 67 </p>
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+ − 68
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+ − 69 <br>
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+ − 70 <br>
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+ − 71 <table class="nav" summary="Navigation aid" border="0" width=
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+ − 72 "100%" cellpadding="0" cellspacing="0">
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+ − 73 <tr valign="top">
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+ − 74 <td align="left" width="20"><a href="builtin_models.html"><img src=
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+ − 75 "b_prev.gif" border="0" align="bottom" alt=
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+ − 76 "Built-in models of LTPDA"></a> </td>
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+ − 78 <td align="left">Built-in models of LTPDA</td>
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+ − 79
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+ − 80 <td> </td>
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+ − 81
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+ − 82 <td align="right">Franklin noise-generator</td>
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+ − 84 <td align="right" width="20"><a href=
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+ − 85 "franklin_ng.html"><img src="b_next.gif" border="0" align=
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+ − 86 "bottom" alt="Franklin noise-generator"></a></td>
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+ − 87 </tr>
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+ − 88 </table><br>
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+ − 89
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+ − 90 <p class="copy">©LTP Team</p>
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+ − 91 </body>
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+ − 92 </html>