The Normalized Lossless Junction

In some applications it is worthwhile to *normalize* the traveling
waves so that all waveguides effectively have unit impedance,
. To normalize, pressure waves are multiplied by a (matrix) square root
of the wave admittance, and velocity waves are multiplied by a (matrix)
square root of the wave impedance. Conservation of power at a lossless
junction implies that the signal dynamic range is conserved in a mean
square sense for normalized waves. This can be very useful in fixed-point
implementations of large networks, especially in the time-varying case,
since signal scaling problems are avoided and the full dynamic range can be
achieved at every point of the network. Normalized waveguide networks
can be seen as a generalization of the normalized ladder
filter [35].

- Time-Varying Normalized Waveguide Networks
- Isolating Time-Varying Junctions
- Scattering of Normalized Waves

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