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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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<B> Next:</B> <A NAME="tex2html464"
HREF="node5.html">Foreword</A>
<B> Up:</B> <A NAME="tex2html460"
HREF="book.html">book</A>
<B> Previous:</B> <A NAME="tex2html454"
HREF="node3.html">#1</A>
&nbsp; <B> <A NAME="tex2html462"
HREF="node201.html">Index</A></B>
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<H2><A NAME="SECTION00200000000000000000">
Contents</A>
</H2>
<!--Table of Contents-->
<UL>
<LI><A NAME="tex2html465"
HREF="node7.html">Sinusoids, amplitude and frequency</A>
<UL>
<LI><A NAME="tex2html466"
HREF="node8.html">Measures of Amplitude</A>
<LI><A NAME="tex2html467"
HREF="node9.html">Units of Amplitude</A>
<LI><A NAME="tex2html468"
HREF="node10.html">Controlling Amplitude</A>
<LI><A NAME="tex2html469"
HREF="node11.html">Frequency</A>
<LI><A NAME="tex2html470"
HREF="node12.html">Synthesizing a sinusoid</A>
<LI><A NAME="tex2html471"
HREF="node13.html">Superposing Signals</A>
<LI><A NAME="tex2html472"
HREF="node14.html">Periodic Signals</A>
<LI><A NAME="tex2html473"
HREF="node15.html">About the Software Examples</A>
<LI><A NAME="tex2html474"
HREF="node18.html">Examples</A>
</UL>
<BR>
<LI><A NAME="tex2html475"
HREF="node26.html">Wavetables and samplers</A>
<UL>
<LI><A NAME="tex2html476"
HREF="node27.html">The Wavetable Oscillator</A>
<LI><A NAME="tex2html477"
HREF="node28.html">Sampling</A>
<LI><A NAME="tex2html478"
HREF="node29.html">Enveloping samplers</A>
<LI><A NAME="tex2html479"
HREF="node30.html">Timbre stretching</A>
<LI><A NAME="tex2html480"
HREF="node31.html">Interpolation</A>
<LI><A NAME="tex2html481"
HREF="node32.html">Examples</A>
</UL>
<BR>
<LI><A NAME="tex2html482"
HREF="node40.html">Audio and control computations</A>
<UL>
<LI><A NAME="tex2html483"
HREF="node41.html">The sampling theorem</A>
<LI><A NAME="tex2html484"
HREF="node42.html">Control</A>
<LI><A NAME="tex2html485"
HREF="node43.html">Control streams</A>
<LI><A NAME="tex2html486"
HREF="node44.html">Converting from audio signals to numeric control streams</A>
<LI><A NAME="tex2html487"
HREF="node45.html">Control streams in block diagrams</A>
<LI><A NAME="tex2html488"
HREF="node46.html">Event detection</A>
<LI><A NAME="tex2html489"
HREF="node47.html">Audio signals as control</A>
<LI><A NAME="tex2html490"
HREF="node48.html">Operations on control streams</A>
<LI><A NAME="tex2html491"
HREF="node49.html">Control operations in Pd</A>
<LI><A NAME="tex2html492"
HREF="node50.html">Examples</A>
</UL>
<BR>
<LI><A NAME="tex2html493"
HREF="node58.html">Automation and voice management</A>
<UL>
<LI><A NAME="tex2html494"
HREF="node59.html">Envelope Generators</A>
<LI><A NAME="tex2html495"
HREF="node60.html">Linear and Curved Amplitude Shapes</A>
<LI><A NAME="tex2html496"
HREF="node61.html">Continuous and discontinuous control changes</A>
<UL>
<LI><A NAME="tex2html497"
HREF="node62.html">Muting</A>
<LI><A NAME="tex2html498"
HREF="node63.html">Switch-and-ramp</A>
</UL>
<LI><A NAME="tex2html499"
HREF="node64.html">Polyphony</A>
<LI><A NAME="tex2html500"
HREF="node65.html">Voice allocation</A>
<LI><A NAME="tex2html501"
HREF="node66.html">Voice tags</A>
<LI><A NAME="tex2html502"
HREF="node67.html">Encapsulation in Pd</A>
<LI><A NAME="tex2html503"
HREF="node68.html">Examples</A>
</UL>
<BR>
<LI><A NAME="tex2html504"
HREF="node75.html">Modulation</A>
<UL>
<LI><A NAME="tex2html505"
HREF="node76.html">Taxonomy of spectra</A>
<LI><A NAME="tex2html506"
HREF="node77.html">Multiplying audio signals</A>
<LI><A NAME="tex2html507"
HREF="node78.html">Waveshaping</A>
<LI><A NAME="tex2html508"
HREF="node79.html">Frequency and phase modulation</A>
<LI><A NAME="tex2html509"
HREF="node80.html">Examples</A>
</UL>
<BR>
<LI><A NAME="tex2html510"
HREF="node89.html">Designer spectra</A>
<UL>
<LI><A NAME="tex2html511"
HREF="node90.html">Carrier/modulator model</A>
<LI><A NAME="tex2html512"
HREF="node91.html">Pulse trains</A>
<UL>
<LI><A NAME="tex2html513"
HREF="node92.html">Pulse trains via waveshaping</A>
<LI><A NAME="tex2html514"
HREF="node93.html">Pulse trains via wavetable stretching</A>
<LI><A NAME="tex2html515"
HREF="node94.html">Resulting spectra</A>
</UL>
<LI><A NAME="tex2html516"
HREF="node95.html">Movable ring modulation</A>
<LI><A NAME="tex2html517"
HREF="node96.html">Phase-aligned formant (PAF) generator</A>
<LI><A NAME="tex2html518"
HREF="node97.html">Examples</A>
</UL>
<BR>
<LI><A NAME="tex2html519"
HREF="node104.html">Time shifts and delays</A>
<UL>
<LI><A NAME="tex2html520"
HREF="node105.html">Complex numbers</A>
<UL>
<LI><A NAME="tex2html521"
HREF="node106.html">Complex sinusoids</A>
</UL>
<LI><A NAME="tex2html522"
HREF="node107.html">Time shifts and phase changes</A>
<LI><A NAME="tex2html523"
HREF="node108.html">Delay networks</A>
<LI><A NAME="tex2html524"
HREF="node109.html">Recirculating delay networks</A>
<LI><A NAME="tex2html525"
HREF="node110.html">Power conservation and complex delay networks</A>
<LI><A NAME="tex2html526"
HREF="node111.html">Artificial reverberation</A>
<UL>
<LI><A NAME="tex2html527"
HREF="node112.html">Controlling reverberators</A>
</UL>
<LI><A NAME="tex2html528"
HREF="node113.html">Variable and fractional shifts</A>
<LI><A NAME="tex2html529"
HREF="node114.html">Fidelity of interpolating delay lines</A>
<LI><A NAME="tex2html530"
HREF="node115.html">Pitch shifting</A>
<LI><A NAME="tex2html531"
HREF="node116.html">Examples</A>
</UL>
<BR>
<LI><A NAME="tex2html532"
HREF="node127.html">Filters</A>
<UL>
<LI><A NAME="tex2html533"
HREF="node128.html">Taxonomy of filters</A>
<UL>
<LI><A NAME="tex2html534"
HREF="node129.html">Low-pass and high-pass filters</A>
<LI><A NAME="tex2html535"
HREF="node130.html">Band-pass and stop-band filters</A>
<LI><A NAME="tex2html536"
HREF="node131.html">Equalizing filters</A>
</UL>
<LI><A NAME="tex2html537"
HREF="node132.html">Elementary filters</A>
<UL>
<LI><A NAME="tex2html538"
HREF="node133.html">Elementary non-recirculating filter</A>
<LI><A NAME="tex2html539"
HREF="node134.html">Non-recirculating filter, second form</A>
<LI><A NAME="tex2html540"
HREF="node135.html">Elementary recirculating filter</A>
<LI><A NAME="tex2html541"
HREF="node136.html">Compound filters</A>
<LI><A NAME="tex2html542"
HREF="node137.html">Real outputs from complex filters</A>
<LI><A NAME="tex2html543"
HREF="node138.html">Two recirculating filters for the price of one</A>
</UL>
<LI><A NAME="tex2html544"
HREF="node139.html">Designing filters</A>
<UL>
<LI><A NAME="tex2html545"
HREF="node140.html">One-pole low-pass filter</A>
<LI><A NAME="tex2html546"
HREF="node141.html">One-pole, one-zero high-pass filter</A>
<LI><A NAME="tex2html547"
HREF="node142.html">Shelving filter</A>
<LI><A NAME="tex2html548"
HREF="node143.html">Band-pass filter</A>
<LI><A NAME="tex2html549"
HREF="node144.html">Peaking and stop-band filter</A>
<LI><A NAME="tex2html550"
HREF="node145.html">Butterworth filters</A>
<LI><A NAME="tex2html551"
HREF="node146.html">Stretching the unit circle with rational functions</A>
<LI><A NAME="tex2html552"
HREF="node147.html">Butterworth band-pass filter</A>
<LI><A NAME="tex2html553"
HREF="node148.html">Time-varying coefficients</A>
<LI><A NAME="tex2html554"
HREF="node149.html">Impulse responses of recirculating filters</A>
<LI><A NAME="tex2html555"
HREF="node150.html">All-pass filters</A>
</UL>
<LI><A NAME="tex2html556"
HREF="node151.html">Applications</A>
<UL>
<LI><A NAME="tex2html557"
HREF="node152.html">Subtractive synthesis</A>
<LI><A NAME="tex2html558"
HREF="node153.html">Envelope following</A>
<LI><A NAME="tex2html559"
HREF="node154.html">Single Sideband Modulation</A>
</UL>
<LI><A NAME="tex2html560"
HREF="node155.html">Examples</A>
</UL>
<BR>
<LI><A NAME="tex2html561"
HREF="node163.html">Fourier analysis and resynthesis</A>
<UL>
<LI><A NAME="tex2html562"
HREF="node164.html">Fourier analysis of periodic signals</A>
<UL>
<LI><A NAME="tex2html563"
HREF="node165.html">Periodicity of the Fourier transform</A>
<LI><A NAME="tex2html564"
HREF="node166.html">Fourier transform as additive synthesis</A>
</UL>
<LI><A NAME="tex2html565"
HREF="node167.html">Properties of Fourier transforms</A>
<UL>
<LI><A NAME="tex2html566"
HREF="node168.html">Fourier transform of DC</A>
<LI><A NAME="tex2html567"
HREF="node169.html">Shifts and phase changes</A>
<LI><A NAME="tex2html568"
HREF="node170.html">Fourier transform of a sinusoid</A>
</UL>
<LI><A NAME="tex2html569"
HREF="node171.html">Fourier analysis of non-periodic signals</A>
<LI><A NAME="tex2html570"
HREF="node172.html">Fourier analysis and reconstruction of audio signals</A>
<UL>
<LI><A NAME="tex2html571"
HREF="node173.html">Narrow-band companding</A>
<LI><A NAME="tex2html572"
HREF="node174.html">Timbre stamping (classical vocoder)</A>
</UL>
<LI><A NAME="tex2html573"
HREF="node175.html">Phase</A>
<UL>
<LI><A NAME="tex2html574"
HREF="node176.html">Phase relationships between channels</A>
</UL>
<LI><A NAME="tex2html575"
HREF="node177.html">Phase bashing</A>
<LI><A NAME="tex2html576"
HREF="node178.html">Examples</A>
</UL>
<BR>
<LI><A NAME="tex2html577"
HREF="node184.html">Classical waveforms</A>
<UL>
<LI><A NAME="tex2html578"
HREF="node185.html">Symmetries and Fourier series</A>
<UL>
<LI><A NAME="tex2html579"
HREF="node186.html">Sawtooth waves and symmetry</A>
</UL>
<LI><A NAME="tex2html580"
HREF="node187.html">Dissecting classical waveforms</A>
<LI><A NAME="tex2html581"
HREF="node188.html">Fourier series of the elementary waveforms</A>
<UL>
<LI><A NAME="tex2html582"
HREF="node189.html">Sawtooth wave</A>
<LI><A NAME="tex2html583"
HREF="node190.html">Parabolic wave</A>
<LI><A NAME="tex2html584"
HREF="node191.html">Square and symmetric triangle waves</A>
<LI><A NAME="tex2html585"
HREF="node192.html">General (non-symmetric) triangle wave</A>
</UL>
<LI><A NAME="tex2html586"
HREF="node193.html">Predicting and controlling foldover</A>
<UL>
<LI><A NAME="tex2html587"
HREF="node194.html">Over-sampling</A>
<LI><A NAME="tex2html588"
HREF="node195.html">Sneaky triangle waves</A>
<LI><A NAME="tex2html589"
HREF="node196.html">Transition splicing</A>
</UL>
<LI><A NAME="tex2html590"
HREF="node197.html">Examples</A>
</UL>
<BR>
<LI><A NAME="tex2html591"
HREF="node201.html">Index</A>
<LI><A NAME="tex2html592"
HREF="node202.html">Bibliography</A>
</UL>
<!--End of Table of Contents-->
<P>
<BR><HR>
<ADDRESS>
Miller Puckette
2006-12-30
</ADDRESS>
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