``Traveling Waves'' in Lumped Systems

One of the topics in classical network theory is the *reflection* and
*transmission,* or *scattering* formulation for lumped networks
[35]. Lumped scattering theory also serves as the starting point
for deriving *wave digital filters* (the subject of Appendix F).
In this formulation, forces (voltages) and velocities
(currents) are replaced by so-called *wave variables*

where
is an arbitrary *reference impedance.*
Since the above wave variables have dimensions of force, they
are specifically *force waves.* The corresponding *velocity
waves* are

Dropping the time argument, since it is always `(t)', we see that

and

These are the basic relations for

[How to cite this work] [Order a printed hardcopy] [Comment on this page via email]

Copyright ©

Center for Computer Research in Music and Acoustics (CCRMA), Stanford University