The bi-amped PA system needs an active crossover.
Here is a review of crossover techniques: https://doi.org/10.17743/jaes.2022.0100
For our FaitalPro 12HX230 coaxial drivers, the crossover frequency is at 1700 Hz with the HF driver being 10 dB more sensitive (louder at equal input power) than the LF driver.
We have researched the following approaches/solutions for a Linkwitz-Riley crossover:
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Crossover implemented in Max and Pure Data which might also be implemented in an embedded system
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Crossover based on RME Totalmix FX DSP capabilities