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There are many different ways this could be done depending on the purpose and exactly which analog telephone signal is to be used.

  • ring signal, this is a 120VAC 5Hz pulsed signal present between tip & ring when the phone is on hook and being called; a high voltage insulated optocoupler must be used to trigger a oneshot or flipflop that will control a relay driver to operate the relay
  • on/off hook switching, when on hook 48VDC is present between tip & ring, when off hook this voltage drops below about 10VDC; these states are probably best sensed using a level detector on a floating power supply (to protect against damage by the ring signal) and a high voltage insulated optocoupler must be used to control a relay driver to operate the relay
  • AF tone signal, this is a signal somewhere between 50Hz and 3KHz; a 600 ohm to 600 ohm transformer should be used to block the ring signal and DC on/off hook voltages, this transformer should drive an amplifier (and maybe a clipper) the output of which goes to one or more phase locked loops set to specific frequencies, the phase locked loop outputs each control separate relay drivers to operate the relays

Note: these are not the only way to accomplish this, in fact commercial off the shelf phone interface modules are available that will handle the ring and hook signals for you (maybe even including the relay drivers or even actual relays) and provide the AF signal ready to feed to the phase locked loops. Such modules may actually be the best way to start if you don't want to run the risk of a mistake that might cause the phone company to disconnect service for a detected fault that could damage their equipment.

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Q: How can you use an analog telephone signal to activate a digital relay?
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