FDNs as Digital Waveguide Networks

As discussed in §H.13, the FDN using a Householder-reflection feedback matrix is equivalent to a network of digital waveguides intersecting at a single scattering junction [471,472,391]. The wave impedance in the th waveguide is simply , the th element of the axis-of-reflection vector . The choice corresponds to all of the waveguides having the same impedance (the ``isotrophic junction'' case).

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written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.