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  <title>Iterative linear parameter estimation for multichannel systems - ssm system model in time domain (LTPDA Toolbox)</title>
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  <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Iterative linear parameter estimation for multichannel systems - ssm system model in time domain</h1>
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<p>Iterative linear parameter estimation for multichannel systems - ssm system model in time domain.</p>

<h2>Contents</h2>
<div>
  <ul>
    <li><a href="#1">set plist for retriving</a></li>
    <li><a href="#2">retrive data</a></li>
    <li><a href="#3">Load input signal</a></li>
    <li><a href="#4">load Whitening filters</a></li>
    <li><a href="#5">System Model</a></li>
    <li><a href="#6">Build input objects</a></li>
    <li><a href="#7">Do Fit</a></li>
  </ul>
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<h2>set plist for retriving<a name="1"></a></h2>

<div class="fragment"><pre>
  
  pl = plist(<span class="string">'hostname'</span>, <span class="string">'lpsdas01.esac.esa.int'</span>, <span class="string">'database'</span>, <span class="string">'ex6'</span>);
</pre></div>

<h2>retrive data<a name="2"></a></h2>

<div class="fragment"><pre>
  
  o1_1 = ao(pl.pset(<span class="string">'binary'</span>, <span class="string">'yes'</span>, <span class="string">'id'</span>, 68));
  o12_1 = ao(pl.pset(<span class="string">'binary'</span>, <span class="string">'yes'</span>, <span class="string">'id'</span>, 69));

  o1_2 = ao(pl.pset(<span class="string">'binary'</span>, <span class="string">'yes'</span>, <span class="string">'id'</span>, 74));
  o12_2 = ao(pl.pset(<span class="string">'binary'</span>, <span class="string">'yes'</span>, <span class="string">'id'</span>, 75));
</pre></div>

<h2>Load input signal<a name="3"></a></h2>

<div class="fragment"><pre>
  
  is1 = matrix(pl.pset(<span class="string">'binary'</span>, <span class="string">'yes'</span>, <span class="string">'id'</span>, 78));
is2 = matrix(pl.pset(<span class="string">'binary'</span>, <span class="string">'yes'</span>, <span class="string">'id'</span>, 79));

is1ao = is1.getObjectAtIndex(1);
is2ao = is2.getObjectAtIndex(2);

<span class="comment">% set port names for fit</span>
is1names = {<span class="string">'INPUTGUIDANCE.ifo_x1'</span>};
is2names = {<span class="string">'INPUTGUIDANCE.ifo_x12'</span>};

InputNames = {is1names,is2names};
</pre></div>

<h2>load Whitening filters<a name="4"></a></h2>

<div class="fragment"><pre>
  
  <span class="comment">% Stoc filter</span>
fil1 = filterbank(pl.pset(<span class="string">'binary'</span>, <span class="string">'yes'</span>, <span class="string">'id'</span>, 76));
fil2 = filterbank(pl.pset(<span class="string">'binary'</span>, <span class="string">'yes'</span>, <span class="string">'id'</span>, 77));
fil3 = filterbank(miir());
<span class="comment">% build matrix</span>
wf = matrix(fil1,fil3,fil3,fil2,plist(<span class="string">'shape'</span>,[2 2]));
</pre></div>

<h2>System Model<a name="5"></a></h2>

<div class="fragment"><pre>
  
    H = ssm(plist(<span class="string">'built-in'</span>,<span class="string">'LTP'</span>,<span class="keyword">...</span>
    <span class="string">'Version'</span>,<span class="string">'Fitting'</span>,<span class="keyword">...</span>
    <span class="string">'Continuous'</span>,true,<span class="keyword">...</span>
    <span class="string">'dim'</span>,1,<span class="keyword">...</span>
    <span class="string">'SYMBOLIC PARAMS'</span>,<span class="keyword">...</span>
    {<span class="string">'FEEPS_XX'</span>,<span class="string">'CAPACT_TM2_XX'</span>,<span class="string">'IFO_X12X1'</span>,<span class="string">'EOM_TM1_STIFF_XX'</span>,<span class="string">'EOM_TM2_STIFF_XX'</span>,<span class="string">'DELAY_X1'</span>,<span class="string">'DELAY_X12'</span>}));
</pre></div>

<h2>Build input objects<a name="6"></a></h2>

<div class="fragment"><pre>
  
  <span class="comment">% empty ao</span>
	
</pre></div>

<div class="fragment"><pre>
  
  <span class="comment">%%% exp_3_1 %%%</span>
  os1 = matrix(o1_1,o12_1,plist(<span class="string">'shape'</span>,[2 1]));

  <span class="comment">%%% exp_3_2 %%%</span>
  os2 = matrix(o1_2,o12_2,plist(<span class="string">'shape'</span>,[2 1]));

  <span class="comment">%%% output names</span>
  OutputNames = {{<span class="string">'IFO.x1'</span>,<span class="string">'IFO.x12'</span>},{<span class="string">'IFO.x1'</span>,<span class="string">'IFO.x12'</span>}};

  <span class="comment">%%% Input signals</span>
  iS = collection(is1ao,is2ao);

  <span class="comment">%%% Fit Params %%%</span>
  usedparams = {<span class="string">'FEEPS_XX'</span>,<span class="string">'CAPACT_TM2_XX'</span>,<span class="string">'IFO_X12X1'</span>,<span class="string">'EOM_TM1_STIFF_XX'</span>,<span class="string">'EOM_TM2_STIFF_XX'</span>,<span class="string">'DELAY_X1'</span>,<span class="string">'DELAY_X12'</span>};

  <span class="comment">%%% set bounded params</span>
  bdparams = {<span class="string">'DELAY_X1'</span>,<span class="string">'DELAY_X12'</span>};
  bdvals   = {[0.1 0.3],[0.1 0.3]};

  <span class="comment">%%% set numerical derivative step</span>
  diffStep = [0.01,0.01,1e-7,1e-7,1e-7,0.001,0.001];

</pre></div>

<h2>Do Fit<a name="7"></a></h2>

<div class="fragment"><pre>
  
  plfit = plist(<span class="keyword">...</span>
    <span class="string">'FitParams'</span>,usedparams,<span class="keyword">...</span>
    <span class="string">'BoundedParams'</span>,bdparams,<span class="keyword">...</span>
    <span class="string">'BoundVals'</span>,bdvals,<span class="keyword">...</span>
    <span class="string">'diffStep'</span>,diffStep,<span class="keyword">...</span>
    <span class="string">'Model'</span>,H,<span class="keyword">...</span>
    <span class="string">'Input'</span>,iS,<span class="keyword">...</span>
    <span class="string">'InputNames'</span>,InputNames,<span class="keyword">...</span>
    <span class="string">'OutputNames'</span>,OutputNames,<span class="keyword">...</span>
    <span class="string">'WhiteningFilter'</span>,wf,<span class="keyword">...</span>
    <span class="string">'tol'</span>,1,<span class="keyword">...</span>
    <span class="string">'Nloops'</span>,5,<span class="keyword">...</span>
    <span class="string">'Ncut'</span>,1e5);

  opars = linfitsvd(os1,os2,plfit);

</pre></div>


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