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I assume that the camera has an on/off and picture/video switch. Use a 2 channel universal garage remote to switch the switches. https://www.walmart.com/cp/Doors/1044059
If the camera has a two switched with the said functions and you do not mind to loose the guarantee you can connect a 2 channel garage door remote opener receiver to the two switches
Depending on the load resistance a single series L will have any -3dB LP cut-off frequency ; but for a LR filter the fall-off tempo will always be 20 dB / decade. For faster cut-off fall-off you need ti increase the order of the filter ; via multiple L an C components
Please specify what is a person present for example it must be a person moving at speeds more than .001m/s for 90% of the time ; 20 % of the body area at 37 deg C must be visible to the sensor 90 % of the tme
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