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