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<div class="navpath"><a class="el" href="namespacestk.html">stk</a>::<a class="el" href="classstk_1_1BiQuad.html">BiQuad</a>
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<h1>stk::BiQuad Class Reference</h1><!-- doxytag: class="stk::BiQuad" --><!-- doxytag: inherits="stk::Filter" -->
<p>STK biquad (two-pole, two-zero) filter class.
<a href="#_details">More...</a></p>
<p><code>#include <<a class="el" href="BiQuad_8h_source.html">BiQuad.h</a>></code></p>
<div class="dynheader">
Inheritance diagram for stk::BiQuad:</div>
<div class="dynsection">
<div class="center">
<img src="classstk_1_1BiQuad.png" usemap="#stk::BiQuad_map" alt=""/>
<map id="stk::BiQuad_map" name="stk::BiQuad_map">
<area href="classstk_1_1Filter.html" alt="stk::Filter" shape="rect" coords="0,56,75,80"/>
<area href="classstk_1_1Stk.html" alt="stk::Stk" shape="rect" coords="0,0,75,24"/>
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<p><a href="classstk_1_1BiQuad-members.html">List of all members.</a></p>
<table border="0" cellpadding="0" cellspacing="0">
<tr><td colspan="2"><h2>Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a91aab9d1b4833e156edcf59cbe276e3f"></a><!-- doxytag: member="stk::BiQuad::BiQuad" ref="a91aab9d1b4833e156edcf59cbe276e3f" args="()" -->
</td><td class="memItemRight" valign="bottom"><a class="el" href="classstk_1_1BiQuad.html#a91aab9d1b4833e156edcf59cbe276e3f">BiQuad</a> ()</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Default constructor creates a second-order pass-through filter. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ad7e81be1c4e5c5ab69474f6df2610984"></a><!-- doxytag: member="stk::BiQuad::~BiQuad" ref="ad7e81be1c4e5c5ab69474f6df2610984" args="()" -->
</td><td class="memItemRight" valign="bottom"><a class="el" href="classstk_1_1BiQuad.html#ad7e81be1c4e5c5ab69474f6df2610984">~BiQuad</a> ()</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Class destructor. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aab468cd1aa79b95442b15bb04d8bb211"></a><!-- doxytag: member="stk::BiQuad::ignoreSampleRateChange" ref="aab468cd1aa79b95442b15bb04d8bb211" args="(bool ignore=true)" -->
void </td><td class="memItemRight" valign="bottom"><a class="el" href="classstk_1_1BiQuad.html#aab468cd1aa79b95442b15bb04d8bb211">ignoreSampleRateChange</a> (bool ignore=true)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">A function to enable/disable the automatic updating of class data when the STK sample rate changes. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aeed58196cf798f664cddbb9a8564c7b5"></a><!-- doxytag: member="stk::BiQuad::setCoefficients" ref="aeed58196cf798f664cddbb9a8564c7b5" args="(StkFloat b0, StkFloat b1, StkFloat b2, StkFloat a1, StkFloat a2, bool clearState=false)" -->
void </td><td class="memItemRight" valign="bottom"><a class="el" href="classstk_1_1BiQuad.html#aeed58196cf798f664cddbb9a8564c7b5">setCoefficients</a> (StkFloat b0, StkFloat b1, StkFloat b2, StkFloat a1, StkFloat a2, bool clearState=false)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Set all filter coefficients. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a26ee25d08116b20f326001166f087853"></a><!-- doxytag: member="stk::BiQuad::setB0" ref="a26ee25d08116b20f326001166f087853" args="(StkFloat b0)" -->
void </td><td class="memItemRight" valign="bottom"><a class="el" href="classstk_1_1BiQuad.html#a26ee25d08116b20f326001166f087853">setB0</a> (StkFloat b0)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Set the b[0] coefficient value. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="add364ed410b3ed2a2b29b8a5fea127c8"></a><!-- doxytag: member="stk::BiQuad::setB1" ref="add364ed410b3ed2a2b29b8a5fea127c8" args="(StkFloat b1)" -->
void </td><td class="memItemRight" valign="bottom"><a class="el" href="classstk_1_1BiQuad.html#add364ed410b3ed2a2b29b8a5fea127c8">setB1</a> (StkFloat b1)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Set the b[1] coefficient value. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a208a654dd3393ed0b2b86ad56d9cf3e1"></a><!-- doxytag: member="stk::BiQuad::setB2" ref="a208a654dd3393ed0b2b86ad56d9cf3e1" args="(StkFloat b2)" -->
void </td><td class="memItemRight" valign="bottom"><a class="el" href="classstk_1_1BiQuad.html#a208a654dd3393ed0b2b86ad56d9cf3e1">setB2</a> (StkFloat b2)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Set the b[2] coefficient value. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a1c9799e47163fe8a59fd85196c089cb3"></a><!-- doxytag: member="stk::BiQuad::setA1" ref="a1c9799e47163fe8a59fd85196c089cb3" args="(StkFloat a1)" -->
void </td><td class="memItemRight" valign="bottom"><a class="el" href="classstk_1_1BiQuad.html#a1c9799e47163fe8a59fd85196c089cb3">setA1</a> (StkFloat a1)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Set the a[1] coefficient value. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ae28afd560df11435ea54f128d23b9383"></a><!-- doxytag: member="stk::BiQuad::setA2" ref="ae28afd560df11435ea54f128d23b9383" args="(StkFloat a2)" -->
void </td><td class="memItemRight" valign="bottom"><a class="el" href="classstk_1_1BiQuad.html#ae28afd560df11435ea54f128d23b9383">setA2</a> (StkFloat a2)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Set the a[2] coefficient value. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classstk_1_1BiQuad.html#a55aaa01fd4156f1fac1168f526e3d969">setResonance</a> (StkFloat frequency, StkFloat radius, bool normalize=false)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Sets the filter coefficients for a resonance at <em>frequency</em> (in Hz). <a href="#a55aaa01fd4156f1fac1168f526e3d969"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classstk_1_1BiQuad.html#ae10a26fc319ba357bc92df4e528c2d8f">setNotch</a> (StkFloat frequency, StkFloat radius)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Set the filter coefficients for a notch at <em>frequency</em> (in Hz). <a href="#ae10a26fc319ba357bc92df4e528c2d8f"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classstk_1_1BiQuad.html#a28881f5876ce5bdcc846367cca9363f7">setEqualGainZeroes</a> (void)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Sets the filter zeroes for equal resonance gain. <a href="#a28881f5876ce5bdcc846367cca9363f7"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a412f224363b1a222423ecf0cd7be9063"></a><!-- doxytag: member="stk::BiQuad::lastOut" ref="a412f224363b1a222423ecf0cd7be9063" args="(void) const " -->
StkFloat </td><td class="memItemRight" valign="bottom"><a class="el" href="classstk_1_1BiQuad.html#a412f224363b1a222423ecf0cd7be9063">lastOut</a> (void) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Return the last computed output value. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a648086962c3cddcaa09c46a002c3e635"></a><!-- doxytag: member="stk::BiQuad::tick" ref="a648086962c3cddcaa09c46a002c3e635" args="(StkFloat input)" -->
StkFloat </td><td class="memItemRight" valign="bottom"><a class="el" href="classstk_1_1BiQuad.html#a648086962c3cddcaa09c46a002c3e635">tick</a> (StkFloat input)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Input one sample to the filter and return a reference to one output. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstk_1_1StkFrames.html">StkFrames</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classstk_1_1BiQuad.html#af903e41217838470a5f267a20b905a12">tick</a> (<a class="el" href="classstk_1_1StkFrames.html">StkFrames</a> &frames, unsigned int channel=0)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Take a channel of the <a class="el" href="classstk_1_1StkFrames.html" title="An STK class to handle vectorized audio data.">StkFrames</a> object as inputs to the filter and replace with corresponding outputs. <a href="#af903e41217838470a5f267a20b905a12"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstk_1_1StkFrames.html">StkFrames</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classstk_1_1BiQuad.html#ac9836f0e074ea9516727f27eb9b411aa">tick</a> (<a class="el" href="classstk_1_1StkFrames.html">StkFrames</a> &iFrames, <a class="el" href="classstk_1_1StkFrames.html">StkFrames</a> &oFrames, unsigned int iChannel=0, unsigned int oChannel=0)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Take a channel of the <code>iFrames</code> object as inputs to the filter and write outputs to the <code>oFrames</code> object. <a href="#ac9836f0e074ea9516727f27eb9b411aa"></a><br/></td></tr>
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<hr/><a name="_details"></a><h2>Detailed Description</h2>
<p>STK biquad (two-pole, two-zero) filter class. </p>
<p>This class implements a two-pole, two-zero digital filter. Methods are provided for creating a resonance or notch in the frequency response while maintaining a constant filter gain.</p>
<p>by Perry R. Cook and Gary P. Scavone, 1995-2012. </p>
<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="a55aaa01fd4156f1fac1168f526e3d969"></a><!-- doxytag: member="stk::BiQuad::setResonance" ref="a55aaa01fd4156f1fac1168f526e3d969" args="(StkFloat frequency, StkFloat radius, bool normalize=false)" -->
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<td class="memname">void stk::BiQuad::setResonance </td>
<td>(</td>
<td class="paramtype">StkFloat </td>
<td class="paramname"> <em>frequency</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">StkFloat </td>
<td class="paramname"> <em>radius</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">bool </td>
<td class="paramname"> <em>normalize</em> = <code>false</code></td><td> </td>
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<td></td>
<td>)</td>
<td></td><td></td><td></td>
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<p>Sets the filter coefficients for a resonance at <em>frequency</em> (in Hz). </p>
<p>This method determines the filter coefficients corresponding to two complex-conjugate poles with the given <em>frequency</em> (in Hz) and <em>radius</em> from the z-plane origin. If <em>normalize</em> is true, the filter zeros are placed at z = 1, z = -1, and the coefficients are then normalized to produce a constant unity peak gain (independent of the filter <em>gain</em> parameter). The resulting filter frequency response has a resonance at the given <em>frequency</em>. The closer the poles are to the unit-circle (<em>radius</em> close to one), the narrower the resulting resonance width. An unstable filter will result for <em>radius</em> >= 1.0. The <em>frequency</em> value should be between zero and half the sample rate. </p>
</div>
</div>
<a class="anchor" id="ae10a26fc319ba357bc92df4e528c2d8f"></a><!-- doxytag: member="stk::BiQuad::setNotch" ref="ae10a26fc319ba357bc92df4e528c2d8f" args="(StkFloat frequency, StkFloat radius)" -->
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<td class="memname">void stk::BiQuad::setNotch </td>
<td>(</td>
<td class="paramtype">StkFloat </td>
<td class="paramname"> <em>frequency</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">StkFloat </td>
<td class="paramname"> <em>radius</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td></td>
</tr>
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<div class="memdoc">
<p>Set the filter coefficients for a notch at <em>frequency</em> (in Hz). </p>
<p>This method determines the filter coefficients corresponding to two complex-conjugate zeros with the given <em>frequency</em> (in Hz) and <em>radius</em> from the z-plane origin. No filter normalization is attempted. The <em>frequency</em> value should be between zero and half the sample rate. The <em>radius</em> value should be positive. </p>
</div>
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<a class="anchor" id="a28881f5876ce5bdcc846367cca9363f7"></a><!-- doxytag: member="stk::BiQuad::setEqualGainZeroes" ref="a28881f5876ce5bdcc846367cca9363f7" args="(void)" -->
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<td class="memname">void stk::BiQuad::setEqualGainZeroes </td>
<td>(</td>
<td class="paramtype">void </td>
<td class="paramname"></td>
<td> ) </td>
<td></td>
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<div class="memdoc">
<p>Sets the filter zeroes for equal resonance gain. </p>
<p>When using the filter as a resonator, zeroes places at z = 1, z = -1 will result in a constant gain at resonance of 1 / (1 - R), where R is the pole radius setting. </p>
</div>
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<a class="anchor" id="af903e41217838470a5f267a20b905a12"></a><!-- doxytag: member="stk::BiQuad::tick" ref="af903e41217838470a5f267a20b905a12" args="(StkFrames &frames, unsigned int channel=0)" -->
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<td class="memname"><a class="el" href="classstk_1_1StkFrames.html">StkFrames</a> & stk::BiQuad::tick </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classstk_1_1StkFrames.html">StkFrames</a> & </td>
<td class="paramname"> <em>frames</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned int </td>
<td class="paramname"> <em>channel</em> = <code>0</code></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td><code> [inline, virtual]</code></td>
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<p>Take a channel of the <a class="el" href="classstk_1_1StkFrames.html" title="An STK class to handle vectorized audio data.">StkFrames</a> object as inputs to the filter and replace with corresponding outputs. </p>
<p>The <a class="el" href="classstk_1_1StkFrames.html" title="An STK class to handle vectorized audio data.">StkFrames</a> argument reference is returned. The <code>channel</code> argument must be less than the number of channels in the <a class="el" href="classstk_1_1StkFrames.html" title="An STK class to handle vectorized audio data.">StkFrames</a> argument (the first channel is specified by 0). However, range checking is only performed if _STK_DEBUG_ is defined during compilation, in which case an out-of-range value will trigger an <a class="el" href="classstk_1_1StkError.html" title="STK error handling class.">StkError</a> exception. </p>
<p>Implements <a class="el" href="classstk_1_1Filter.html#a3260a238824c4a748ac057b84b7d3f21">stk::Filter</a>.</p>
<p><div class="fragment"><pre class="fragment"><a name="l00133"></a>00133 {
<a name="l00134"></a>00134 <span class="preprocessor">#if defined(_STK_DEBUG_)</span>
<a name="l00135"></a>00135 <span class="preprocessor"></span> <span class="keywordflow">if</span> ( channel >= frames.channels() ) {
<a name="l00136"></a>00136 oStream_ << <span class="stringliteral">"BiQuad::tick(): channel and StkFrames arguments are incompatible!"</span>;
<a name="l00137"></a>00137 <a class="code" href="classstk_1_1Stk.html#a48ac73a0d8ca28445ba1a054e1f061ff" title="Static function for error reporting and handling using c-strings.">handleError</a>( StkError::FUNCTION_ARGUMENT );
<a name="l00138"></a>00138 }
<a name="l00139"></a>00139 <span class="preprocessor">#endif</span>
<a name="l00140"></a>00140 <span class="preprocessor"></span>
<a name="l00141"></a>00141 StkFloat *samples = &frames[channel];
<a name="l00142"></a>00142 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> hop = frames.channels();
<a name="l00143"></a>00143 <span class="keywordflow">for</span> ( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i<frames.frames(); i++, samples += hop ) {
<a name="l00144"></a>00144 inputs_[0] = gain_ * *samples;
<a name="l00145"></a>00145 *samples = b_[0] * inputs_[0] + b_[1] * inputs_[1] + b_[2] * inputs_[2];
<a name="l00146"></a>00146 *samples -= a_[2] * outputs_[2] + a_[1] * outputs_[1];
<a name="l00147"></a>00147 inputs_[2] = inputs_[1];
<a name="l00148"></a>00148 inputs_[1] = inputs_[0];
<a name="l00149"></a>00149 outputs_[2] = outputs_[1];
<a name="l00150"></a>00150 outputs_[1] = *samples;
<a name="l00151"></a>00151 }
<a name="l00152"></a>00152
<a name="l00153"></a>00153 lastFrame_[0] = outputs_[1];
<a name="l00154"></a>00154 <span class="keywordflow">return</span> frames;
<a name="l00155"></a>00155 }
</pre></div></p>
</div>
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<a class="anchor" id="ac9836f0e074ea9516727f27eb9b411aa"></a><!-- doxytag: member="stk::BiQuad::tick" ref="ac9836f0e074ea9516727f27eb9b411aa" args="(StkFrames &iFrames, StkFrames &oFrames, unsigned int iChannel=0, unsigned int oChannel=0)" -->
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<td class="memname"><a class="el" href="classstk_1_1StkFrames.html">StkFrames</a> & stk::BiQuad::tick </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classstk_1_1StkFrames.html">StkFrames</a> & </td>
<td class="paramname"> <em>iFrames</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classstk_1_1StkFrames.html">StkFrames</a> & </td>
<td class="paramname"> <em>oFrames</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned int </td>
<td class="paramname"> <em>iChannel</em> = <code>0</code>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned int </td>
<td class="paramname"> <em>oChannel</em> = <code>0</code></td><td> </td>
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<td></td>
<td>)</td>
<td></td><td></td><td><code> [inline]</code></td>
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<div class="memdoc">
<p>Take a channel of the <code>iFrames</code> object as inputs to the filter and write outputs to the <code>oFrames</code> object. </p>
<p>The <code>iFrames</code> object reference is returned. Each channel argument must be less than the number of channels in the corresponding <a class="el" href="classstk_1_1StkFrames.html" title="An STK class to handle vectorized audio data.">StkFrames</a> argument (the first channel is specified by 0). However, range checking is only performed if _STK_DEBUG_ is defined during compilation, in which case an out-of-range value will trigger an <a class="el" href="classstk_1_1StkError.html" title="STK error handling class.">StkError</a> exception. </p>
<p><div class="fragment"><pre class="fragment"><a name="l00158"></a>00158 {
<a name="l00159"></a>00159 <span class="preprocessor">#if defined(_STK_DEBUG_)</span>
<a name="l00160"></a>00160 <span class="preprocessor"></span> <span class="keywordflow">if</span> ( iChannel >= iFrames.channels() || oChannel >= oFrames.channels() ) {
<a name="l00161"></a>00161 oStream_ << <span class="stringliteral">"BiQuad::tick(): channel and StkFrames arguments are incompatible!"</span>;
<a name="l00162"></a>00162 <a class="code" href="classstk_1_1Stk.html#a48ac73a0d8ca28445ba1a054e1f061ff" title="Static function for error reporting and handling using c-strings.">handleError</a>( StkError::FUNCTION_ARGUMENT );
<a name="l00163"></a>00163 }
<a name="l00164"></a>00164 <span class="preprocessor">#endif</span>
<a name="l00165"></a>00165 <span class="preprocessor"></span>
<a name="l00166"></a>00166 StkFloat *iSamples = &iFrames[iChannel];
<a name="l00167"></a>00167 StkFloat *oSamples = &oFrames[oChannel];
<a name="l00168"></a>00168 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> iHop = iFrames.channels(), oHop = oFrames.channels();
<a name="l00169"></a>00169 <span class="keywordflow">for</span> ( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i<iFrames.frames(); i++, iSamples += iHop, oSamples += oHop ) {
<a name="l00170"></a>00170 inputs_[0] = gain_ * *iSamples;
<a name="l00171"></a>00171 *oSamples = b_[0] * inputs_[0] + b_[1] * inputs_[1] + b_[2] * inputs_[2];
<a name="l00172"></a>00172 *oSamples -= a_[2] * outputs_[2] + a_[1] * outputs_[1];
<a name="l00173"></a>00173 inputs_[2] = inputs_[1];
<a name="l00174"></a>00174 inputs_[1] = inputs_[0];
<a name="l00175"></a>00175 outputs_[2] = outputs_[1];
<a name="l00176"></a>00176 outputs_[1] = *oSamples;
<a name="l00177"></a>00177 }
<a name="l00178"></a>00178
<a name="l00179"></a>00179 lastFrame_[0] = outputs_[1];
<a name="l00180"></a>00180 <span class="keywordflow">return</span> iFrames;
<a name="l00181"></a>00181 }
</pre></div></p>
</div>
</div>
<hr/>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="BiQuad_8h_source.html">BiQuad.h</a></li>
</ul>
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