Gold code
From Wikipedia, the free encyclopedia
A Gold code, also known as Gold sequence, is a type of binary sequence, used in telecommunication (CDMA)[1] and satellite navigation (GPS).[2] Gold codes are named after Dr. Robert Gold.[3]
Pick two maximum length sequences of the same length 2m − 1, such that their cross-correlation takes just three values. The set of the 2m − 1 exclusive-ors of the two sequences in their various phases (i.e. translated into all relative positions), together with the two original sequences themselves, is a set of Gold codes.
The exclusive or of two Gold codes from the same set is another Gold code in some phase.
A set of Gold code sequences consists of 2m + 1 sequences each one with a period of 2m − 1.
Within a set of Gold codes about half of the codes are balanced — the number of ones and zeros differs by only one.[4]
[edit] References
- ^ George, M., Hamid, M., and Miller A. Gold Code Generators in Virtex DevicesPDF (126 KB)
- ^ GPS - explained (Signals)
- ^ Dr. Robert Gold
- ^ Holmes, p.100
- Gold, R. (1967), "Optimal binary sequences for spread spectrum multiplexing (Corresp.)", IEEE Transactions on Information Theory, 13 (4), pp.619–621.
- Holmes, J.K. (2007), Spread Spectrum Systems for GNSS and Wireless Communications, Artech House, Norwood, ISBN 978-1-59693-083-4.
[edit] See also
- Kasami code
- Complementary sequences
- Space Network - a NASA system that uses Gold codes
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