/Ian wrote:
Every time you modify the filter coefficients, modify the state of the//filter 
so that it will produce the output you are expecting. Easy to do.

/Ethan wrote:
A very simple oscillator recipe is [the coupled form]. However, it's not stable 
as is, so you periodically have to make an adjustment to make sure that a^2 + 
b^2 = 1.

You can have both: A (hyper)stable quadrature oscillator without the need to 
adjust states upon frequency modulation, and without the need to counteract 
amplitude runaway:

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