Mercurial > hg > ltpda
diff m-toolbox/html_help/help/ug/spikeclean_content.html @ 0:f0afece42f48
Import.
author | Daniele Nicolodi <nicolodi@science.unitn.it> |
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date | Wed, 23 Nov 2011 19:22:13 +0100 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/m-toolbox/html_help/help/ug/spikeclean_content.html Wed Nov 23 19:22:13 2011 +0100 @@ -0,0 +1,112 @@ +<h2>Description</h2> +<p> + Spikes in data due to different nature can be removed, if desired, from the original data. LTPDA <a href="matlab:doc('ao/spikecleaning')"><tt>spikecleaning</tt></a> detects and replaces + spikes of the input AOs. A spike in data is defined as a single sample exceeding a certain value (usually, the + floor noise of the data) defined by the user: +</p> +<br> +<p> + <div align="center"> + <IMG src="images/spike10x.png" width="147" height="15" border="0" /> + </div> +</p> +<br> +<p> + where <IMG src="images/spike41x.png" width="50" height="14" border="0" /> is the input data high-pass filtered, <IMG src="images/spike42x.png" width="34" height="13" border="0"/> is a value defined by the user (by default is 3.3) and <IMG src="images/spike43x.png" width="35" height="8" border="0"/> is the standard deviation of <IMG src="images/spike41x.png" width="50" height="14" border="0" /> . In consequence, a spike is defined as the value that exceeds the floor noise of the data by a factor <IMG src="images/spike42x.png" width="34" height="13" border="0"/>, the higher of this parameter the more difficult to "detect" a spike. + <br> + <br> + <h2>Syntax</h2> +</p> +<div class="fragment"><pre> + <br> + b = spikecleaning(a, pl) + </pre> +</div> +<h2>Parameters</h2> +<p> + The following parameters can be set in this method: + <ul> + <li> <tt>'kspike'</tt> - set the <IMG src="images/spike42x.png" width="34" height="13" border="0"/> value (default is 3.3) </li> + <li> <tt>'method'</tt> - method used to replace the "spiky" sample. Three methods are available ---see below for details---:</li> + <ul> + <li> <tt>'random'</tt> </li> + <li> <tt>'mean'</tt> </li> + <li> <tt>'previous'</tt> </li> + </ul> + <li> <tt>'fc'</tt> - frequency cut-off of the high-pass IIR filter (default is 0.025) </li> + <li> <tt>'order'</tt> - specifies the order of the IIR filter (default is 2) </li> + <li> <tt>'ripple'</tt> - specifies pass/stop-band ripple for bandpass and bandreject filters (default is 0.5) </li> + </ul> +</p> +<p> + <h2>Algorithm</h2> +</p> +<p> + <b>Random: </b> this method substitutes the spiky sample by: +</p> +<p> + <br> + <div align="center"> + <IMG src="images/spike20x.png" width="197" height="15" align="center" border="0"/> + </div> + <br> +</p> +<p> + where <IMG src="images/spike44x.png" width="42" height="14" border="0"/> is a random number of mean zero and standard deviation 1. +</p> +<p> + <b>Mean: </b>this method uses the following equation to replace the spike detected in data. +</p> +<br> +<p> + <div align="center"> + <IMG src="images/spike30x.png" width="158" height="29" align="center" border="0"/> + </div> +</p> +<br> +<p> + <b>Previous: </b>the spike is substitued by the previous sample, i.e.: +</p> +<br> +<p> + <div align="center"> + <IMG src="images/spike40x.png" width="90" height="14" align="center" border="0"/> + </div> +</p> +<br> +<p> + <h2>Examples</h2> +</p> +<p> + 1. Spike cleaning of a sequence of random data with <tt>kspike = 2</tt>. +</p> +<p> + <div class="fragment"><pre> + <br> + x = ao(plist( <span class="string">'waveform'</span>, <span class="string">'noise'</span>, <span class="string">'nsecs'</span>,1e4, <span class="string">'fs'</span>,10)); <span class="comment">% create an AO of random data sampled at 1 Hz.</span> + pl = plist( <span class="string">'kspike'</span>, 2); <span class="comment">% kspike = 2</span> + y = spikecleaning(x, pl); <span class="comment">% spike cleaning function applied to the input AO, x</span> + iplot(x, y) <span class="comment">% plot original and "cleaned" data</span> + </pre> + </div> +</p> +<p> + <div align="center"> + <img src="images/spike1.png" border="1" > + </div> +</p> +<!-- <p> + 2. Example of real data: the first image shows data from the real world prior to + the application of the spike cleaning tool. It is clear that some spikes are + present in data and might be convenient to remove them. The second image shows + the same data after the spike samples supression. + </p> + <p> + <img src="images/stat1x.png" border="1" width="400px"> + </p> + <p> + <img src="images/stat2x.png" border="1" width="400px"> + </p> + --> + +