Multiple LoRa clients on one frequency - how to synchronise multiple LoRa transmitters using GPS

Implementing a time division multiple access scheme for single channel non-LoRaWAN access network, we need to synchronise each transmitter's TX window in order to maximise channel capacity.

We start by working out the TX window length (based on payload, LoRa parameters, receiver gain recovery rate etc). 12 bytes of data allows us lat/long to ~10m precision. vBat to 8 bit resolution plus plus other bytes for general purpose flags.

We then use the Semtech LoRa calculator program to determine a tradeoff between on-air time and SNR margin .
* We want maximum SNR to get the best range.
* We want to minimise on-air time as our trackers are moving, and we want to squeeze as many trackers onto one radio channel as possible.
* We want to minimise bandwidth if possible, are our trackers will have greatly varying temperatures and supply voltages/currents so frequency stability might not be great.
* we want our receiver to be able to recover its AGC circuitry and have sufficient processing power/message buffering queue to be able to pick out successive transmissions (if too closely spaced and densely transmitted, the limiting factor might be our receiver, not our transmitters)

We then decide how often we want to receive position updates - a tradeoff in refresh rate and remote battery life.

We then work out how tight a timing/synchronising loop we can achieve using the available hardware (48MHz onboard clock, GPS PPS synchronisation driving hardware interrupts

We can then design our TDMA scheme around these parameters.

For me, 30 second position updates is more than adequate. I would want to fit around 100 devices on one radio channel.
Rounding numbers up gives us 120 devices transmitting once every 30 seconds, or one transmission every 250 milliseconds.