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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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+  <title>Constructor examples of the MFIR class (LTPDA Toolbox)</title>
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+  "Presents an overview of the features, system requirements, and starting the toolbox.">
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+  <a name="top_of_page" id="top_of_page"></a>
+
+  <p style="font-size:1px;">&nbsp;</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=
+      "constructor_examples_smodel.html"><img src="b_prev.gif" border="0" align=
+      "bottom" alt="Constructor examples of the SMODEL class"></a>&nbsp;&nbsp;&nbsp;<a href=
+      "constructor_examples_miir.html"><img src="b_next.gif" border="0" align=
+      "bottom" alt="Constructor examples of the MIIR class"></a></td>
+    </tr>
+  </table>
+
+  <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Constructor examples of the MFIR class</h1>
+  <hr>
+  
+  <p>
+	
+<!-- -------------------------------------------------- -->
+<!-- --------------- BEGIN CONTENT FILE --------------- -->
+<!-- -------------------------------------------------- -->
+
+<!-- --------------- Link box: begin --------------- -->
+<table border="0" summary="Simple list" class="simplelist_nottable_last">
+  <tr>
+    <td>
+      <a href="constructor_examples_mfir.html#copy">Copy an MFIR object</a>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <a href="constructor_examples_mfir.html#xml_file">Construct a MFIR object by loading the object from a file</a>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <a href="constructor_examples_mfir.html#ao">Construct a MFIR object from an Analysis Object <tt>(AO)</tt></a>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <a href="constructor_examples_rational.html#pzmodel">Construct a MFIR object from a pole/zero model <tt>(PZMODEL)</tt></a>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <a href="constructor_examples_mfir.html#std_type">Construct a MFIR object from a standard type</a>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <a href="constructor_examples_mfir.html#exist_model">Construct a MFIR object from an existing filter model</a>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <a href="constructor_examples_mfir.html#equation">Construct a MFIR object from a difference equation</a>
+    </td>
+  </tr>
+</table>
+<!-- --------------- Link box: end --------------- -->
+
+<!-- --------------- NEXT EXAMPLE --------------- -->
+
+<hr>
+<h2 class="title"><a name="copy"></a>Copy an FIR filter object</h2>
+<p>The following example creates a copy of an FIR filter object (blue command).</p>
+<div class="fragment"><pre class="programlisting">
+>> fir1 = mfir(plist(<span class="string">'type'</span>, <span class="string">'lowpass'</span>));
+<span class="blue">>> fir2 = mfir(fir2)</span>
+------ mfir/1 -------
+     gd: 32.5
+version: $Id: mfir.m,v 1.84 2009/02/24 17:02:44 ingo Exp
+  ntaps: 65
+     fs: 1
+ infile:
+      a: [0.0007 0.0004 -6.9093e-19 -0.0006 -0.0012 -0.0014 -0.0011 1.4147e-18 ...
+histout: [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  ...
+ iunits: [] [1x1 unit]
+ ounits: [] [1x1 unit]
+   hist: mfir.hist  [1x1 history]
+   name: lowpass
+---------------------
+</pre></div>
+<br></br>
+<p>REMARK: The following command copies only the handle of an object and doesn't create a copy of the object (as above). This means that everything that happens to the copy or original happens to the other object.</p>
+<div class="fragment"><pre class="programlisting">
+>> fir1 = mfir()
+------ mfir/1 -------
+     gd: []
+version: $Id: mfir.m,v 1.84 2009/02/24 17:02:44 ingo Exp
+  ntaps: 0
+     fs: []
+ infile:
+      a: []
+histout: []
+ iunits: [] [1x1 unit]
+ ounits: [] [1x1 unit]
+   hist: mfir.hist  [1x1 history]
+   name: none
+---------------------
+>> fir2 = fir1;
+>> fir2.setName(<span class="string">'my new name'</span>)
+------ mfir/1 -------
+     gd: []
+version: $Id: mfir.m,v 1.84 2009/02/24 17:02:44 ingo Exp
+  ntaps: 0
+     fs: []
+ infile:
+      a: []
+histout: []
+ iunits: [] [1x1 unit]
+ ounits: [] [1x1 unit]
+   hist: mfir.hist  [1x1 history]
+   name: <span class="string">my new name</span>
+---------------------
+</pre></div>
+<br></br>
+<p>If we display fir1 again then we see that the property 'name' was changed although we only have changed fir2.</p>
+<div class="fragment"><pre class="programlisting">
+>> fir1
+------ mfir/1 -------
+     gd: []
+version: $Id: mfir.m,v 1.84 2009/02/24 17:02:44 ingo Exp
+  ntaps: 0
+     fs: []
+ infile:
+      a: []
+histout: []
+ iunits: [] [1x1 unit]
+ ounits: [] [1x1 unit]
+   hist: mfir.hist  [1x1 history]
+   name: <span class="string">my new name</span>
+---------------------</pre></div>
+
+
+<!-- --------------- NEXT EXAMPLE --------------- -->
+
+<hr>
+<h2 class="title"><a name="xml_file"></a>Construct a MFIR object by loading the object from a file</h2>
+<p>The following example creates a new mfir object by loading the mfir object from disk.</p>
+<div class="fragment"><pre class="programlisting">
+fir = mfir(<span class="string">'fir.mat'</span>)
+fir = mfir(<span class="string">'fir.xml'</span>)
+</pre></div>
+<p>or in a <tt>PLIST</tt></p>
+<div class="fragment"><pre class="programlisting">
+pl  = plist(<span class="string">'filename'</span>, <span class="string">'fir.xml'</span>);
+fir = mfir(pl)
+</pre></div>
+
+<!-- --------------- NEXT EXAMPLE --------------- -->
+
+<hr>
+<h2 class="title"><a name="ao"></a>Construct a MFIR object from an Analysis Object</h2>
+<p> An FIR filter object can be generated based on the magnitude of the input AO/fsdata object.
+In the following example an AO/fsdata object is first generated and then passed to the mfir constructor
+to obtain the equivalent FIR filter.</p>
+<div class="fragment"><pre class="programlisting">
+a1  = ao(plist(<span class="string">'fsfcn'</span>, <span class="string">'1./(50+f)'</span>, <span class="string">'fs'</span>, 1000, <span class="string">'f'</span>, linspace(0, 500, 1000)));
+fir = mfir(a1);
+iplot(a1, resp(fir));
+</pre></div>
+<p>or in a PLIST with the relevant parameters:</p>
+<p>
+  <table cellspacing="0" border="0" cellpadding="2" class="simplelist_nottable_last" width="80%">
+    <colgroup>
+      <col width="25%"/>
+      <col width="75%"/>
+    </colgroup>
+    <thead>
+      <tr valign="top">
+        <th class="subcategorylist">Key</th>
+        <th class="subcategorylist">Description</th>
+      </tr>
+    </thead>
+    <tbody>
+      <tr valign="top">
+        <td>
+          <p>'method'</p>
+        </td>
+        <td>
+          <p>the design method:<br></br>
+           'frequency-sampling' - uses fir2()<br></br>
+           'least-squares' - uses firls()<br></br>
+           'Parks-McClellan' - uses firpm()<br></br>
+           [default: 'frequency-sampling']</p>
+        </td>
+      </tr>
+      <tr valign="top">
+        <td>
+          <p>'win'</p>
+        </td>
+        <td>
+          <p>Window function for frequency-sampling method [default: 'Hanning']</p>
+        </td>
+      </tr>
+      <tr valign="top">
+        <td>
+          <p>'N'</p>
+        </td>
+        <td>
+          <p>Filter order [default: 512]</p>
+        </td>
+      </tr>
+    </tbody>
+  </table>
+</p>
+<p>The following example creates a mfir object from an analysis object.</p>
+<div class="fragment"><pre class="programlisting">
+a1  = ao(plist(<span class="string">'fsfcn'</span>, <span class="string">'1./(50+f)'</span>, <span class="string">'fs'</span>, 1000, <span class="string">'f'</span>, linspace(0, 500, 1000)));
+pl  = plist(<span class="string">'ao'</span>, a1);
+fir = mfir(pl)
+</pre></div>
+
+
+<!-- --------------- NEXT EXAMPLE --------------- -->
+
+<hr>
+<h2 class="title"><a name="pzmodel"></a>Construct an FIR filter object from a pole/zero model</h2>
+<p>The following example creates a new FIR filter object from a pole/zero model.</p>
+<div class="fragment"><pre class="programlisting">
+>> pzm = pzmodel(1, {1 2 3}, {4 5}, <span class="string">'my pzmodel'</span>)
+---- pzmodel 1 ----
+    name: my pzmodel
+    gain: 1
+   delay: 0
+  iunits: []
+  ounits: []
+pole 001: (f=1 Hz,Q=NaN)
+pole 002: (f=2 Hz,Q=NaN)
+pole 003: (f=3 Hz,Q=NaN)
+zero 001: (f=4 Hz,Q=NaN)
+zero 002: (f=5 Hz,Q=NaN)
+-------------------
+>> fir = mfir(pzm) <span class="comment">% Use the default sample rate fs=8 * frequency of the highest pole or zero in the model</span>
+>> fir = mfir(pzm, plist(<span class="string">'fs'</span>, 100))
+------ mfir/1 -------
+     gd: 257
+version: $Id: mfir.m,v 1.84 2009/02/24 17:02:44 ingo Exp
+  ntaps: 513
+     fs: 100
+ infile:
+      a: [-0 -3.013e-10 -1.2486e-09 -2.8506e-09 -5.1166e-09 -7.8604e-09 -1.1133e-08 ...
+histout: [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
+ iunits: [] [1x1 unit]
+ ounits: [] [1x1 unit]
+   hist: mfir.hist  [1x1 history]
+   name: my pzmodel
+---------------------
+</pre></div>
+<p>or in a PLIST with the relevant parameters:</p>
+<p>
+  <table cellspacing="0" border="0" cellpadding="2" class="simplelist_nottable_last" width="80%">
+    <colgroup>
+      <col width="25%"/>
+      <col width="75%"/>
+    </colgroup>
+    <thead>
+      <tr valign="top">
+        <th class="subcategorylist">Key</th>
+        <th class="subcategorylist">Description</th>
+      </tr>
+    </thead>
+    <tbody>
+      <tr valign="top">
+        <td>
+          <p>'pzmodel'</p>
+        </td>
+        <td>
+          <p>A pzmodel object to construct the filter from [default: empty pzmodel]</p>
+        </td>
+      </tr>
+      <tr valign="top">
+        <td>
+          <p>'fs'</p>
+        </td>
+        <td>
+          <p>Sample rate [default: 8 * frequency of the highest pole or zero in the model]</p>
+        </td>
+      </tr>
+    </tbody>
+  </table>
+</p>
+<div class="fragment"><pre class="programlisting">
+>> pzm = pzmodel(1, {1 2 3}, {4 5}, <span class="string">'my pzmodel'</span>)
+>> pl  = plist(<span class="string">'pzmodel'</span>, pzm, <span class="string">'fs'</span>, 100)
+>> fir = mfir(pl)
+</pre></div>
+
+
+<!-- --------------- NEXT EXAMPLE --------------- -->
+
+<hr></hr>
+<h2 class="title"><a name="std_type"></a>Construct a MFIR object from a standard type</h2>
+<p>Construct an FIR filter object from a standard type: 'lowpass', 'highpass', 'bandpass' or 'bandreject'</p>
+<p>The relevant parameters are:</p>
+<p>
+  <table cellspacing="0" border="0" cellpadding="2" class="simplelist_nottable_last" width="80%">
+    <colgroup>
+      <col width="25%"/>
+      <col width="75%"/>
+    </colgroup>
+    <thead>
+      <tr valign="top">
+        <th class="subcategorylist">Key</th>
+        <th class="subcategorylist">Description</th>
+      </tr>
+    </thead>
+    <tbody>
+      <tr valign="top">
+        <td>
+          <p>'type'</p>
+        </td>
+        <td>
+          <p>one of the types: 'highpass', 'lowpass', 'bandpass', 'bandreject'<br></br>
+            [default 'lowpass']</p>
+        </td>
+      </tr>
+    </tbody>
+  </table>
+</p>
+<p>You can also specify optional parameters:</p>
+<p>
+  <table cellspacing="0" border="0" cellpadding="2" class="simplelist_nottable_last" width="80%">
+    <colgroup>
+      <col width="25%"/>
+      <col width="75%"/>
+    </colgroup>
+    <thead>
+      <tr valign="top">
+        <th class="subcategorylist">Key</th>
+        <th class="subcategorylist">Description</th>
+      </tr>
+    </thead>
+    <tbody>
+      <tr valign="top">
+        <td>
+          <p>'gain'</p>
+        </td>
+        <td>
+          <p>The gain of the filter [default: 1]</p>
+        </td>
+      </tr>
+      <tr valign="top">
+        <td>
+          <p>'fc'</p>
+        </td>
+        <td>
+          <p>The roll-off frequency [default: 0.1 Hz]</p>
+        </td>
+      </tr>
+      <tr valign="top">
+        <td>
+          <p>'fs'</p>
+        </td>
+        <td>
+          <p>The sampling frequency to design for [default: 1 Hz]</p>
+        </td>
+      </tr>
+      <tr valign="top">
+        <td>
+          <p>'order'</p>
+        </td>
+        <td>
+          <p>The filter order [default: 64]</p>
+        </td>
+      </tr>
+      <tr valign="top">
+        <td>
+          <p>'win'</p>
+        </td>
+        <td>
+          <p>Specify window function used in filter design [default: 'Hamming']</p>
+        </td>
+      </tr>
+      <tr valign="top">
+        <td>
+          <p>'iunits'</p>
+        </td>
+        <td>
+          <p>the input unit of the filter</p>
+        </td>
+      </tr>
+      <tr valign="top">
+        <td>
+          <p>'ounits'</p>
+        </td>
+        <td>
+          <p>the output unit of the filter</p>
+        </td>
+      </tr>
+    </tbody>
+  </table>
+</p>
+<p>The following example creates an order 64 highpass filter with high frequency gain 2. Filter is designed for 1 Hz sampled data and has a cut-off frequency of 0.2 Hz.</p>
+<div class="fragment"><pre class="programlisting">
+pl = plist(<span class="string">'type'</span>, <span class="string">'highpass'</span>,   ...
+                   <span class="string">'order'</span>, 64,  ...
+                   <span class="string">'gain'</span>,  2.0, ...
+                   <span class="string">'fs'</span>,    1,   ...
+                   <span class="string">'fc'</span>,    0.2);
+f = mfir(pl)
+</pre></div>
+<p>Furthermore it is possible to specify a spectral window.</p>
+<div class="fragment"><pre class="programlisting">
+win = specwin(<span class="string">'Kaiser'</span>, 11, 150);
+pl = plist(<span class="string">'type'</span>, <span class="string">'lowpass'</span>, ...
+           <span class="string">'Win'</span>,   win,      ...
+           <span class="string">'fs'</span>,    100,      ...
+           <span class="string">'fc'</span>,    20,       ...
+           <span class="string">'order'</span>, 10);
+f = mfir(pl)
+</pre></div>
+
+<!-- --------------- NEXT EXAMPLE --------------- -->
+
+<hr>
+<h2 class="title"><a name="exist_model"></a>Construct a MFIR object from an existing filter</h2>
+<p>The mfir constructor also accepts as an input existing filters stored in different formats:</p>
+<p>LISO files</p>
+<div class="fragment"><pre class="programlisting">
+f = mfir(<span class="string">'foo_fir.fil'</span>)
+</pre></div>
+<p>XML files</p>
+<div class="fragment"><pre class="programlisting">
+f = mfir(<span class="string">'foo_fir.xml'</span>)
+</pre></div>
+<p>MAT files</p>
+<div class="fragment"><pre class="programlisting">
+f = mfir(<span class="string">'foo_fir.mat'</span>)
+</pre></div>
+<p>From an LTPDA repository</p>
+<p>The relevant parameters for retrieving a FIR filter from a LTPDA repository are:</p>
+<p>
+  <table cellspacing="0" border="0" cellpadding="2" class="simplelist_nottable_last" width="80%">
+    <colgroup>
+      <col width="25%"/>
+      <col width="75%"/>
+    </colgroup>
+    <thead>
+      <tr valign="top">
+        <th class="subcategorylist">Key</th>
+        <th class="subcategorylist">Description</th>
+      </tr>
+    </thead>
+    <tbody>
+      <tr valign="top">
+        <td>
+          <p>'hostname'</p>
+        </td>
+        <td>
+          <p>the repository hostname. [default: 'localhost']</p>
+        </td>
+      </tr>
+      <tr valign="top">
+        <td>
+          <p>'database'</p>
+        </td>
+        <td>
+          <p>The database name [default: 'ltpda']</p>
+        </td>
+      </tr>
+      <tr valign="top">
+        <td>
+          <p>'id'</p>
+        </td>
+        <td>
+          <p>A vector of object IDs. [default: []]</p>
+        </td>
+      </tr>
+      <tr valign="top">
+        <td>
+          <p>'cid'</p>
+        </td>
+        <td>
+          <p>Retrieve all rational objects from a particular collection</p>
+        </td>
+      </tr>
+      <tr valign="top">
+        <td>
+          <p>'binary'</p>
+        </td>
+        <td>
+          <p>Set to 'yes' to retrieve from stored binary representation (not always available). [default: yes]</p>
+        </td>
+      </tr>
+    </tbody>
+  </table>
+</p>
+<div class="fragment"><pre class="programlisting">
+f = mfir(plist(<span class="string">'hostname'</span>, <span class="string">'localhost'</span>, <span class="string">'database'</span>, <span class="string">'ltpda'</span>, <span class="string">'ID'</span>, []))
+</pre></div>
+
+
+<!-- --------------- NEXT EXAMPLE --------------- -->
+
+<hr>
+<h2 class="title"><a name="equation"></a>Construct a MFIR object from a difference equation</h2>
+<p>The filter can be defined in terms of two vectors specifying the coefficients of the filter and the sampling frequency. The following example creates a FIR filter with sampling frequency 1 Hz and the following recursive equation:</p>
+<div align="center">
+  <IMG src="images/sigproc_10.png" width="202" height="28" align="middle" border="0">
+</div>
+<div class="fragment"><pre class="programlisting">
+a  = [-0.8 10];
+fs = 1;
+
+f = mfir(a,fs)
+</pre></div>
+<p>or in a <tt>PLIST</tt></p>
+<p>The relevant parameters are:</p>
+<p>
+  <table cellspacing="0" border="0" cellpadding="2" class="simplelist_nottable_last" width="80%">
+    <colgroup>
+      <col width="25%"/>
+      <col width="75%"/>
+    </colgroup>
+    <thead>
+      <tr valign="top">
+        <th class="subcategorylist">Key</th>
+        <th class="subcategorylist">Description</th>
+      </tr>
+    </thead>
+    <tbody>
+      <tr valign="top">
+        <td>
+          <p>'a'</p>
+        </td>
+        <td>
+          <p>vector of A coefficients. (see note ** below) [default: empty]</p>
+        </td>
+      </tr>
+      <tr valign="top">
+        <td>
+          <p>'fs'</p>
+        </td>
+        <td>
+          <p>sampling frequency of the filter [default: empty]</p>
+        </td>
+      </tr>
+      <tr valign="top">
+        <td>
+          <p>'name'</p>
+        </td>
+        <td>
+          <p>name of filter [default: 'None']</p>
+        </td>
+      </tr>
+    </tbody>
+  </table>
+</p>
+<div class="fragment"><pre class="programlisting">
+a  = [-0.8 10];
+fs = 1;
+pl = plist(<span class="string">'a'</span>, a, <span class="string">'fs'</span>, fs);
+
+fir = mfir(pl)
+</pre></div>
+<br></br>
+<div class="fragment">
+NOTES:<br></br>
+** The convention used here for naming the filter coefficients is the opposite to MATLAB's convention. The recursion formula for this convention is<br></br>
+y(n) = a(1)*x(n) + a(2)*x(n-1) + ... + a(na+1)*x(n-na).
+</div>
+
+
+<!-- ------------------------------------------------ -->
+<!-- --------------- END CONTENT FILE --------------- -->
+<!-- ------------------------------------------------ -->
+
+  </p>
+
+  <br>
+  <br>
+  <table class="nav" summary="Navigation aid" border="0" width=
+  "100%" cellpadding="0" cellspacing="0">
+    <tr valign="top">
+      <td align="left" width="20"><a href="constructor_examples_smodel.html"><img src=
+      "b_prev.gif" border="0" align="bottom" alt=
+      "Constructor examples of the SMODEL class"></a>&nbsp;</td>
+
+      <td align="left">Constructor examples of the SMODEL class</td>
+
+      <td>&nbsp;</td>
+
+      <td align="right">Constructor examples of the MIIR class</td>
+
+      <td align="right" width="20"><a href=
+      "constructor_examples_miir.html"><img src="b_next.gif" border="0" align=
+      "bottom" alt="Constructor examples of the MIIR class"></a></td>
+    </tr>
+  </table><br>
+
+  <p class="copy">&copy;LTP Team</p>
+</body>
+</html>