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