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Our Plan

A logical organization for this book would be along the lines above, starting with Newton's laws, differential equations, digitization methods, and so on through the various methods. However, we proceed instead as follows:

  1. Delay-line and digital-waveguide acoustic modeling
    1. Time-invariant case (acoustic multipath, artificial reverberation)
    2. Time-varying case (phasing, flanging, chorus, Leslie, vibrating strings and air columns)
  2. Impedance modeling and equivalent circuits
  3. Finite differences and transfer functions
  4. Application examples
  5. Appendices on C++ software, history, Newtonian physics, digital waveguide theory details, more about finite difference schemes, and wave digital filters
The reason for this ordering is that it starts out really simple, with no calculus required, and plenty of signal processing and practical applications along the way. It is easily possible to fill a first course without reaching impedance models (which require calculus and frequency-domain facility for both continuous- and discrete-time systems). The appendices provide both supporting and relatively advanced material.

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``Physical Audio Signal Processing'', by Julius O. Smith III, W3K Publishing, 2010, ISBN 978-0-9745607-2-4
Copyright © 2023-08-20 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University