A room noise detector could serve as a burglar alarm during the night and when away from home, of course, if no noisy dogs or other pets. It could serve as a child protection device, near a door to the outside of the home or near a swimming pool gate to alert the adults of he child's presence near the pool, or a road with traffic.
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examples of internal noise.thermal noise,short noise,i/f noise
Perhaps a two-stage process. Firstly, gain access to the electrical output in the smoke detector, that drives the noise transducer. Use this (amplified?) to drive the mechanism of your electrically-operated lock.
to detect maximum peak os AC signal and convert to DC signal
A Bolometer.
To use the PLL (Phase Lock Loop) as FM detector, you need to know the Free-running frequency.