My understanding is that the fan speed controls in wall switches are - unless specifically paired with a DC ceiling fan - meant for AC ceiling fans; and they work by controlling capacitance (I'm a little hazy on that part, but some more detail is over in this answer and this answer.)
In contrast, DC ceiling fans receive full power from the wall, and then utilize some of that power to control the DC motor, and do something after receiving RF signals telling it to adjust the speed and direction.
In particular, my Monte Carlo fan receives RF signals that adjust the dimmness of the light and speed/direction of the fan. The RF controller in the fan uses two wires to talk to the LEDs and 3 wires to talk to the fan.
I would like to explore the possibility of replacing the RF controller in the fan with a thing of my own design that converts 'signal' from the normal wall dimmers (varied capacitance in the case of the fan control, and whatever the dimmer mechanism is for the light) into the 'signal' understood by the fan and the fan's leds.
I presume this would involve measuring what is provided to the leds/fan over those 2/3 wires using a multi-meter (or possibility an oscilloscope?). But I am completely lost as to what thing might be able to turn the signal from the wall into whatever it is that the leds/fan expects.
I recognize that without being able to say for certain what the leds/fan expects this is somewhat difficult to answer, but I am hoping someone would be able to suggest the process by which I can attempt this myself, what additional information to gather, and what device(s) are the most likely needed to do this so I can read up on them.