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A Survey of the Correlation Properties of the Generalized Barker Codes

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Executive Summary

The Barker codes (signals) were invented in the beginning of the 1950s of the twentieth century. Due to their positive auto-correlation properties the classical Barker signals have been applied in large number of communication devices. Unfortunately, the classical Barker signals do not exist for lengths greater than 13 and cannot be used as members of families with small cross-correlation. These drawbacks can be avoided by usage of complex m-phase shift keying (m>2), which leads to the so-named generalized Barker signals. With regard, the correlation properties of generalized Barker signals are studied in the paper.

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