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You could, but I still don't think you need all that. You could just program a rule that if a lot of the wireless sensors lose contact at once it sends an alarm through the wired connection.

It's just kind of using the definition of jamming, right?

For instance, if someone carried one just past my front door: They'd interrupt at least the door sensor and the base unit's wifi connection (since they're both at the door). If they came in through a window, they'd interrupt at least one window sensor but probably a lot -- this jamming sounds kind of indiscriminate. One sensor malfunction sends me a ping. 2 might do whatever an alarm is. I don't know if you can set it to call the police, but you can set it to send a push notification to your whole family, and hopefully someone does the right thing.

The police are kind of useless anyways