If you continue to use SerOut with the transmitter, then the receiver RXD pin output timing will be the same as RS232 but the polarity will depend on what polarity you use at the transmitter. The COM port on a PC expects inverted polarity.

However, the RF link in the example code I'm suggesting is not RS232 compatible. It is an example of the NEC protocol which is widely used for remote control and for applications like yours. X-10 uses it for all of their RF applications, including motion sensors. For an RF link it's much simpler to implement than SerIn/SerOut and is very reliable for small amounts of data. It does use Debug to output the received codes to a PC serial port. See the PBP manual for how to implement this.

I think you mean GPIO.1 and PulsIn. That is equivalent to your RXD pin. The code was written for ASK modules which have no CD so you can ignore CD if you try to adapt my code.