Contents Sinusoids, amplitude and frequency Measures of Amplitude Units of Amplitude Controlling Amplitude Frequency Synthesizing a sinusoid Superposing Signals Periodic Signals About the Software Examples Examples Wavetables and samplers The Wavetable Oscillator Sampling Enveloping samplers Timbre stretching Interpolation Examples Audio and control computations The sampling theorem Control Control streams Converting from audio signals to numeric control streams Control streams in block diagrams Event detection Audio signals as control Operations on control streams Control operations in Pd Examples Automation and voice management Envelope Generators Linear and Curved Amplitude Shapes Continuous and discontinuous control changes Muting Switch-and-ramp Polyphony Voice allocation Voice tags Encapsulation in Pd Examples Modulation Taxonomy of spectra Multiplying audio signals Waveshaping Frequency and phase modulation Examples Designer spectra Carrier/modulator model Pulse trains Pulse trains via waveshaping Pulse trains via wavetable stretching Resulting spectra Movable ring modulation Phase-aligned formant (PAF) generator Examples Time shifts and delays Complex numbers Complex sinusoids Time shifts and phase changes Delay networks Recirculating delay networks Power conservation and complex delay networks Artificial reverberation Controlling reverberators Variable and fractional shifts Fidelity of interpolating delay lines Pitch shifting Examples Filters Taxonomy of filters Low-pass and high-pass filters Band-pass and stop-band filters Equalizing filters Elementary filters Elementary non-recirculating filter Non-recirculating filter, second form Elementary recirculating filter Compound filters Real outputs from complex filters Two recirculating filters for the price of one Designing filters One-pole low-pass filter One-pole, one-zero high-pass filter Shelving filter Band-pass filter Peaking and stop-band filter Butterworth filters Stretching the unit circle with rational functions Butterworth band-pass filter Time-varying coefficients Impulse responses of recirculating filters All-pass filters Applications Subtractive synthesis Envelope following Single Sideband Modulation Examples Fourier analysis and resynthesis Fourier analysis of periodic signals Periodicity of the Fourier transform Fourier transform as additive synthesis Properties of Fourier transforms Fourier transform of DC Shifts and phase changes Fourier transform of a sinusoid Fourier analysis of non-periodic signals Fourier analysis and reconstruction of audio signals Narrow-band companding Timbre stamping (classical vocoder) Phase Phase relationships between channels Phase bashing Examples Classical waveforms Symmetries and Fourier series Sawtooth waves and symmetry Dissecting classical waveforms Fourier series of the elementary waveforms Sawtooth wave Parabolic wave Square and symmetric triangle waves General (non-symmetric) triangle wave Predicting and controlling foldover Over-sampling Sneaky triangle waves Transition splicing Examples Index Bibliography

*2010-07-14 23:31:14*

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