From my own experience with Ademco alarm panels, "Communication Failure" usually means that the alarm tried to call the monitoring center to test the system, and the call failed. It could be anything from a mis-wired phone jack to a OBi dialing error. Properly-wired alarm panels use a RJ12 exclusion jack. The inbound telephone line feeds into the jack, which loops the connection through the alarm panel, and then the jack feeds the house telephone wiring. When the alarm goes off, a relay on the alarm panel disconnects the house phones and "seizes" the line, to prevent anyone from interfering with the call. If your house phones don't stop working when the alarm is activated, then your wiring is incorrect.
There's no way for us to definitively troubleshoot this via this forum.
That said, you could log into your OBi's local web page and look at the call history. See if the OBi has a record of the alarm panel attempting to call the monitoring center. You'd need to confirm that it is calling the correct phone number, and then see what the result was (busy, no answer, error, etc.). To get to that web page, pick up the phone attached to the OBi and press ***1 and the attendant will read back the device's IP address.