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A Physical Derivation of Wave Digital Filters

Equivalently, we may obtain the same results by setting $ c=2/T$ in the bilinear transform (which defines a frequency-scaling) and take the transmission-line (port) impedances to be instead $ R_L = Lc = 2L/T$ for the inductor, and $ R_C = T/(2C)$ for the capacitor (thereby compensating the frequency scaling).


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``Wave Digital Filters'', by Stefan Bilbao and Julius O. Smith III, (From Lecture Overheads, Music 420).
Copyright © 2014-03-25 by Stefan Bilbao and Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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