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Notes:

https://github.com/iliasam/STM32F4_SDR_GPS?tab=readme-ov-file

https://habr.com/ru/articles/789382/

https://dsp.stackexchange.com/questions/92028/max2769-i-q-for-signal-acquisition-tracking

Datasheet

The MAX2769B features an on-chip ADC to digitize the downconverted GPS signal. The maximum sampling rate of the ADC is approximately 50Msps. The sampled output is provided in a 2-bit format (1-bit magnitude and 1-bit sign) by default and also can be configured as a 1-bit or 2-bit in both I and Q channels, or 1-bit, 2-bit, or 3-bit in the I channel only. The ADC supports the digital outputs in three different formats: the unsigned binary, the sign and magnitude, or the two’s complement format by setting bits FORMAT in Configuration register 2. MSB bits are output at I1 or Q1 pins and LSB bits are output at I0 or Q0 pins, for I or Q channel, respectively. In the case of 3-bit, output data format is selected in the I channel only, the MSB is output at I1, the second bit is at I0, and the LSB is at Q1.

Surely two-bit correlation is the same process, just with more precision because of the additional bit?