In accordance with the teachings described herein, system and methods are provided for a GPS PRN code interpolation scheme with a reduced memory requirement. An example GPS receiver system may include a memory, a local PRN code generator, and an interpolator. The memory may be used to store GPS PRN code received from a global positioning satellite. The local PRN code generator generates a replica PRN code having a repeating code that includes at least a first epoch and a second epoch. The interpolator determines an offset point in the first epoch of replica PRN code and interpolates the replica PRN code at a predetermined sample rate to generate an interpolated replica PRN code for use in correlating with the GPS PRN code.