This section supplements §2.7 on Feedback Delay Networks in the context of digital waveguide theory. Specifically, we review the interpretation of an FDN as a special case of a digital waveguide network, summarizing [465,466,388].
Figure C.36 illustrates an
-branch DWN. It consists of a single
scattering junction, indicated by a white circle, to which
branches are connected. The far end of each branch is terminated by an
ideal non-inverting reflection (black circle). The waves traveling
into the junction are associated with the FDN delay line outputs
, and the length of each waveguide is
half the length of the corresponding FDN delay line
(since a traveling wave must traverse the branch twice to complete a
round trip from the junction to the termination and back). When
is odd, we may replace the reflecting termination by a unit-sample
delay.
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