Earlier quoted context omitted.
They need a warrant if they're going to record and track my movements over the course of months.
If they're only tracking your movements in public, the no they do not. Again, you're just wrong about what privacy laws protect. They do not prohibit the police from surveilling or tracking you, they only control how the police is able to conduct that surveillance. If the police want to search your house or car, they need a warrant or at least probable cause for the latter. If they want to photograph you in public, t…
Police do need a warrant to place a GPS device on your vehicle.
Data continuity is a function of data point frequency [0]. If all public space (and some participating private space) is monitored, the practical difference between a GPS device and a retroactive dragnet system disappears.
You are correct that police do not require a warrant to follow someone around in public, but these systems aren't that, and in practice much closer to the GPS tracking, which does require a warrant. It's unclear without trying this further in court which this should qualify as.
IMO: If the system has seen me exit the public space outside my home, or work, or someone elses home, or a store, or whevever, the system knows where I am at all points in time, like a GPS, with very little exception.