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author | Daniele Nicolodi <nicolodi@science.unitn.it> |
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date | Mon, 05 Dec 2011 16:20:06 +0100 |
parents | f0afece42f48 |
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<p> Generating non-white random noise means producing arbitrary long time series with a given spectral density. Such time series are needed for example for the following purposes: </p> <p> <ul> <li> To generate test data sets for programs that compute spectral densities, </li> <li> as inputs for various simulations.</li> </ul> </p> <p> One way of doing this is to apply digital filters (FIR or IIR) to white input noise.<br/> This approach is effectively implemented for the generation of <a href="ndim_ng.html"> multichannel noise </a> with a given cross spectral density. <br/> Multichannel transfer functions are identified by an automatic fit procedure based on a modified version of the vector-fitting algorithm (see <a href="zdomainfit.html"> Z-Domain Fit </a> for further details on the algorithm). <br/> Partial fraction expansion of multichannel transfer functions and the implementation of <a href="sigproc_dfilt.html">filter</a> state initialization avoid the presence of unwanted 'warm-up period'. </p> <p> A different approach is implemented in LTPDA as <a href="franklin_ng.html">Franklin noise-generator</a>.<br/> 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/> </p>