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You have build a classical feedback loop system here and the regular stability criteria apply. You could try to calculate the poles of the closed-loop transfer function and make sure they are inside the unit circle. However, given your topology that would be a fair bit of work. Easiest would probably to make sure that your loop gain is smaller than ...


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In general, resonant bandpasses have a behavior I have identified where they will self-oscillate or overload if a large percent of their prior sample's output is subtracted from their input above a certain frequency relative to the sample rate. Or, worded in another way, resonant bandpass filter have a property where if, through feedback, you turn them into ...


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