Damping and Tuning Parameters
The tuning and damping of the resonator impulse response are governed by the relation
To obtain a specific decay time-constant , we must have
Therefore, given a desired decay time-constant (and the sampling interval ), we may compute the damping parameter for the digital waveguide resonator as
To obtain a desired frequency of oscillation, we must solve
for , which yields
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Eigenvalues in the Undamped Case
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Miscellaneous Properties