Gold code
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- This article is about binary codes used in telecommunications (CDMA) and GPS. For the authentification codes used to command a launch of nuclear weapons, see Gold Codes.
A Gold code is a set of binary sequences, used in telecommunication (CDMA)[1] and satellite navigation (GPS)[2].
Pick two m-sequences of the same length n, such that their cross-correlation takes just three values. The set of the n exclusive-ors of the two sequences in their various phases (i.e. translated into all relative positions), together with the two n-sequences themselves, is a set of Gold codes.
The exclusive or of two Gold codes is another Gold code in some phase.
A set of gold sequences consist of 2m + 1 sequences each one with a period of 2m − 1.
All 2m + 1 sequences are balanced and contain either 2m−1 ones and 2m−1 − 1 zeros or 2m−1 − 1 ones and 2m−1 zeros.
[edit] References
- ^ "[George, M., Hamid, M., and Miller A. Gold Code Generators in Virtex DevicesPDF
- ^ "GPS - explained (Signals)"
- Gold, R. Optimal binary sequences for spread spectrum multiplexing (Corresp.), IEEE Transactions on Information Theory, volume 13,number 4,pages 619--621, 1967.
