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It’s not terribly clear in the data sheet, but it’s a bootstrap capacitor. i think you need to refer to the other documents referenced in the data sheet for further information.
1) Is your input TRULY floating, as it is in your simulation?
2) It's impossible to see what the scale is on your scope. There's way too much garbage on the screen.
3) You say the gain is off, but don't give any information. Is it off by a factor of 10000000000000?
4) Same for "Changing the...
Depends.
Is the RF trace carrying 400 amps? 20000000 Volts? Or, is the RF trace extremely low level where crosstalk from the UART trace could cause a problem?
It's up to you to figure this out. There's no way anybody else can answer this.
This just gets more and more foolish. You're using an N-channel MOSFET to discharge a cap. The intrinsic diode of the MOSFET is the only thing that's going to discharge the cap. Otherwise, the MOSFET is doing nothing.
Even a synchronous counter will have skew between outputs. Further, propagation times are different between rising and falling edges. NOTHING changes at exactly the same time, even synchronous circuits.
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