I'll adopt Didier's notation here
<shameless plug>

Although it's marketed as an SDR for the BeagleBone, this project contains an 
open source 12+ channel software-defined GPS receiver:
https://www.kickstarter.com/projects/1575992013/kiwisdr-beaglebone-software-defined-radio-sdr-with/

It's very easy to experiment with GPS signal processing by changing the C++ 
code on the Beagle or the Verilog on the FPGA (provided you have the stomach to 
install the Xilinx Vivado design tools). For example, I learned a lot by adding 
decimation to the correlation code. This speeds up strong signal acquisition 
because the FFTs can be smaller. The SDGPS is from Andrew Holme's Homemade GPS 
Receiver project <aholme.co.uk/GPS/Main>

</shameless plug>

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