MPG with Arduino Bluetooth

You won't be able to send a PWM signal over Bluetooth, unless it's really slow (as you have to deal with delays and unreliable transmission speeds).

What you can do is send the instruction over Bluetooth, e.g. "produce PWM signal at 1000 Hz and 50% duty cycle" and then have an Arduino on the receiving end that starts producing the signal, until it receives a "stop!" message to stop the output.