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+<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
+original version by:  Nikos Drakos, CBLU, University of Leeds
+* revised and updated by:  Marcus Hennecke, Ross Moore, Herb Swan
+* with significant contributions from:
+  Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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+<TITLE>Exercises</TITLE>
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+<BR>
+<B> Next:</B> <A NAME="tex2html1643"
+  HREF="node75.html">Modulation</A>
+<B> Up:</B> <A NAME="tex2html1637"
+  HREF="node58.html">Automation and voice management</A>
+<B> Previous:</B> <A NAME="tex2html1633"
+  HREF="node73.html">Polyphonic synthesis: sampler</A>
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+<BR>
+<BR>
+<!--End of Navigation Panel-->
+
+<H1><A NAME="SECTION00890000000000000000">
+Exercises</A>
+</H1>
+
+<P>
+
+<OL>
+<LI>What input to a fourth-power transfer function gives an output of -12
+dB, if an input of 1 outputs 0 dB?
+
+<P>
+</LI>
+<LI>An envelope generator rises from zero to a peak value during its attack
+segment.  How many decibels less than the peak has the output reached 
+halfway into the attack, assuming linear output?  Fourth-power output?
+
+<P>
+</LI>
+<LI>What power-law transfer function (i.e. what choice of <IMG
+ WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
+ SRC="img75.png"
+ ALT="$n$"> for the
+function <IMG
+ WIDTH="73" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
+ SRC="img400.png"
+ ALT="$f(x) = {x^n}$">) would you use if you wish the halfway-point value
+to be -12 decibels?
+
+<P>
+</LI>
+<LI>Suppose you wish to cross-fade two signals, i.e., to ramp one signal in
+and simultaneously another one out.  If they have equal power and are
+uncorrelated, a linear cross-fade would result in a drop of 3 decibels halfway
+though the cross-fade.  What power law would you use to maintain constant power
+throughout the cross-fade?
+
+<P>
+</LI>
+<LI>A three-note chord, lasting 1.5 seconds, is played starting once every
+second.  How many voices would be needed to synthesize this without cutting
+off any notes?
+
+<P>
+</LI>
+<LI>Suppose a synthesis patch gives output between <IMG
+ WIDTH="23" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
+ SRC="img401.png"
+ ALT="$-1$"> and <IMG
+ WIDTH="11" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
+ SRC="img262.png"
+ ALT="$1$">.  While
+a note is playing, a new note is started using the ``rampdown" voice-stealing
+technique.  What is the maximum output?
+
+<P>
+</LI>
+</OL>
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+<BR>
+<B> Next:</B> <A NAME="tex2html1643"
+  HREF="node75.html">Modulation</A>
+<B> Up:</B> <A NAME="tex2html1637"
+  HREF="node58.html">Automation and voice management</A>
+<B> Previous:</B> <A NAME="tex2html1633"
+  HREF="node73.html">Polyphonic synthesis: sampler</A>
+ &nbsp; <B>  <A NAME="tex2html1639"
+  HREF="node4.html">Contents</A></B> 
+ &nbsp; <B>  <A NAME="tex2html1641"
+  HREF="node201.html">Index</A></B> 
+<!--End of Navigation Panel-->
+<ADDRESS>
+Miller Puckette
+2006-12-30
+</ADDRESS>
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