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<h1 class="title"><a id="MiscWindows"></a>Appendix F. Window Functions</h1>
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<p>
Windowing functions are used for analysis, and as waveform envelopes, particularly in granular synthesis. Window functions are built in to some opcodes, but others require a function table to generate the window. <a class="link" href="GEN20.html" title="GEN20"><em class="citetitle">GEN20</em></a> is used for this purpose. The diagram of each window below, is accompanied by the f statement used to generate the it.
</p>
<p><strong>Hamming. </strong>
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<div class="example">
<a id="idm281472797808632"></a>
<p class="title">
<strong>Example F.1. Hamming window function statement</strong>
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<div class="example-contents">
<pre class="programlisting"><span class="stamnt">f</span>81 0 8192 20 1 1</pre>
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<p><br class="example-break" />
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<img src="images/image1.png" alt="Hamming Window Function." />
<div class="caption">
<p>Hamming Window Function.</p>
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<p>
</p>
<p><strong>Hanning. </strong>
</p>
<div class="example">
<a id="idm281472797761960"></a>
<p class="title">
<strong>Example F.2. Hanning window function statement</strong>
</p>
<div class="example-contents">
<pre class="programlisting"><span class="stamnt">f</span>82 0 8192 20 2 1</pre>
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<p><br class="example-break" />
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<img src="images/image2.png" alt="Hanning Window Function" />
<div class="caption">
<p>Hanning Window Function</p>
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<p>
</p>
<p><strong>Bartlett. </strong>
</p>
<div class="example">
<a id="idm281472797755592"></a>
<p class="title">
<strong>Example F.3. Bartlett window function statement</strong>
</p>
<div class="example-contents">
<pre class="programlisting"><span class="stamnt">f</span>83 0 8192 20 3 1</pre>
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<p><br class="example-break" />
</p>
<div class="mediaobject">
<img src="images/image3.png" alt="Bartlett Window Function" />
<div class="caption">
<p>Bartlett Window Function</p>
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<p>
</p>
<p><strong>Blackman. </strong>
</p>
<div class="example">
<a id="idm281472797749192"></a>
<p class="title">
<strong>Example F.4. Blackman window function statement</strong>
</p>
<div class="example-contents">
<pre class="programlisting"><span class="stamnt">f</span>84 0 8192 20 4 1</pre>
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<p><br class="example-break" />
</p>
<div class="mediaobject">
<img src="images/image4.png" alt="Blackman Window Function" />
<div class="caption">
<p>Blackman Window Function</p>
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<p>
</p>
<p><strong>Blackman-Harris. </strong>
</p>
<div class="example">
<a id="idm281472797742792"></a>
<p class="title">
<strong>Example F.5. Blackman-Harris window function statement</strong>
</p>
<div class="example-contents">
<pre class="programlisting"><span class="stamnt">f</span>85 0 8192 20 5 1</pre>
</div>
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<p><br class="example-break" />
</p>
<div class="mediaobject">
<img src="images/image5.png" alt="Blackman-Harris Window Function" />
<div class="caption">
<p>Blackman-Harris Window Function</p>
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<p>
</p>
<p><strong>Gaussian. </strong>
</p>
<div class="example">
<a id="idm281472797736376"></a>
<p class="title">
<strong>Example F.6. Gaussian window function statement</strong>
</p>
<div class="example-contents">
<pre class="programlisting"><span class="stamnt">f</span>86 0 8192 20 6 1</pre>
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</div>
<p><br class="example-break" />
</p>
<div class="mediaobject">
<img src="images/image6.png" alt="Gaussian Window Function" />
<div class="caption">
<p>Gaussian Window Function</p>
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<p>
</p>
<p><strong>Rectangle. </strong>
</p>
<div class="example">
<a id="idm281472797729976"></a>
<p class="title">
<strong>Example F.7. Rectangle window function statement</strong>
</p>
<div class="example-contents">
<pre class="programlisting"><span class="stamnt">f</span>88 0 8192 -20 8 .1</pre>
</div>
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<p><br class="example-break" />
<span class="emphasis"><em>Note</em></span>: Vertical scale is exaggerated in this diagram.
</p>
<div class="mediaobject">
<img src="images/image7.png" alt="Rectangle Window Function" />
<div class="caption">
<p>Rectangle Window Function</p>
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</div>
<p>
</p>
<p><strong>Sync. </strong>
</p>
<div class="example">
<a id="idm281472797723160"></a>
<p class="title">
<strong>Example F.8. Sync window function statement</strong>
</p>
<div class="example-contents">
<pre class="programlisting"><span class="stamnt">f</span>89 0 4096 -20 9 .75</pre>
</div>
</div>
<p><br class="example-break" />
</p>
<div class="mediaobject">
<img src="images/image8.png" alt="Sync Window Function" />
<div class="caption">
<p>Sync Window Function</p>
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<p>
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