Conclusion

We have visited the basic principles of acoustic modeling using digital waveguides, with applications in digital audio effects and musical instrument modeling. Topics visited included acoustic echo simulation, artificial reverberation, chorus and flanging effects, plucked and struck strings, electric and acoustic guitars, piano, woodwinds, bowed strings, and brasses.

The remainder of this book consists of a series of appendices which extend and supplement the material introduced thus far. In addition to extensions of the digital waveguide paradigm, which is fundamentally a distributed modeling technique (involving filtered traveling waves), the later appendices discuss also lumped modeling, involving masses, springs, and dashpots as modeling elements. The combination of lumped and digital waveguide modeling techniques provides a highly general computational physical modeling tool set. There is also some additional coverage of nonlinear elements, and non-physical ``signal models'' based on the design of digital filters having certain desired properties.