> I hadn't even imagined this constituting "brute force". Is my phone using "brute force" to find the WiFi router? At some point it's not really "Brute force" it's "There are a handful of options, try all of them" and GPS seems past that point especially on modern hardware.
Your phone only needs to listen to the WiFi router on one channel at a time in operation, and the signal parameters are well enough defined that they can be scanned quickly. A GPS receiver requires at least 4 parallel channels to achieve a position solution, and there are up to 32 possible codes the satellites could be at. Scanning 6 channels across 32 codes, and then also sweeping phase and doppler shift to lock them , just to 'discover' if there is a valid signal there takes time, and this is what older receivers had to do. Modern receivers tend to just 'brute force' this by having an entire receive pipeline dedicated to every possible PRN all the time, and possibly even correlate multiple doppler shifts simultaneously as well, so they effectively have 32 (or more) receive channels, despite only ever expecting a maximum of 12 birds being visible. The extra channels are necessary more or less exclusively to reduce acquisition time, so I think it's fair to call them 'brute force'.
Your phone only needs to listen to the WiFi router on one channel at a time in operation, and the signal parameters are well enough defined that they can be scanned quickly. A GPS receiver requires at least 4 parallel channels to achieve a position solution, and there are up to 32 possible codes the satellites could be at. Scanning 6 channels across 32 codes, and then also sweeping phase and doppler shift to lock them , just to 'discover' if there is a valid signal there takes time, and this is what older receivers had to do. Modern receivers tend to just 'brute force' this by having an entire receive pipeline dedicated to every possible PRN all the time, and possibly even correlate multiple doppler shifts simultaneously as well, so they effectively have 32 (or more) receive channels, despite only ever expecting a maximum of 12 birds being visible. The extra channels are necessary more or less exclusively to reduce acquisition time, so I think it's fair to call them 'brute force'.