It is worth pointing out that there isn't a connection as such (in the true sense of the word) between the transmitter and the dive computer (at least with respect to those computers that use the Pelagic Pressure Systems transmitters: Oceanic, Shearwater, etc.). Understanding this helps to understand potential issues.
The PPS transmitters simply broadcast the pressure reading along with the serial number. This happens as soon as there is pressure to the first stage. It happens regardless of the presence of a dive computer to listen. The PPS transmitters broadcast roughly every 5 seconds. Shearwater sell a couple of different versions that slightly vary the interval between broadcasts to avoid potential clashes but for the discussion assume ~5 seconds. Think of it like a radio station broadcasting and the broadcast isn't dependent on any radios tuned in (from a technical perspective).
The dive computer simply listens for the broadcasted signal. You tell the dive computer which serial number to listen for. Every ~5 seconds the dive computer receives the broadcast with the tank pressure and displays the pressure.
Now, just like a radio station, the transmitter has limited range and the signal can be blocked. If the dive computer is too far from the transmitter (like if you drive out of town and lose your radio station) the signal doesn't reach. If there is something in the way, like your body (you drive into a tunnel and lose your radio station) the signal won't reach.
Dive computers provide some leeway in the event of unreceived broadcasts. My Perdix AI will go for 30 seconds before it does a soft time out: display the most recent tank pressure but flashing yellow. This means it missed around 6 broadcasts from the transmitter before it goes into a warning state. (My Oceanic Atom 3.0 did this after 20 seconds). The Perdix continues to show the most recent pressure for another 60 seconds (so 90 seconds) in total and then goes into the No Comms state (that's 18 missed broadcasts). (My Atom 3.0 was 60 seconds in total.)
When the above error states occur, there is no lost connection as such, just that the signal from the transmitter has not reached the dive computer for a period of time. The solution is simple, move the dive computer to within range of the transmitter and it will pick up the next broadcast and be happy.