Hello Hankmars
The waveform reminds me of my old radio control model digital proportional transmitter modulation - the wider low period was used for synchronising. Each pulse after was passed to a servo. Each high pulse width was varied through the transmitter joysticks (varied between 1 to 2ms) and set the servo position ie the elevator, motor, rudder position etc. Repetition rate was around 50Hz. This describes in better detail:
https://en.wikipedia.org/wiki/Radio-controlled_model
Are there any IC's identifiable in say the receiver - maybe searching on their part number will bring up useful datasheets.
Hope there's a clue somewhere for you, happy hunting
Roger