It's either an alarm system or a dial up modem.
You should shut down the system and see if it
still does it.
This will tell you if it's something connected to an extension port.
If it's not on an Ext. port you should be able
to trace it from the Dmarc to the system and see where some other line is tapped in.
You may want to open the RJ31 on the alarm, (if there is one) 1st and see if that's doing it.
Gem