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Proof of the drift-resistant property of binary msequences

Proof of the drift-resistant property of binary msequences

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© The Institution of Electrical Engineers
Published

A conjecture of H. A. Barker, that any binary msequence can be shifted so as to make the identification of a system immune to linear drift, is proved algebraically, and the starting point of the sequence is given.

Inspec keywords: mathematics; information theory

Subjects: Information theory

References

    1. 1)
      • R. Gold . Characteristic linear sequences and their coset functions. J. Soc. Ind. Appl. Math. , 980 - 985
    2. 2)
      • R. Gold . Maximal recursive sequences with 3-valued recursive cross-correlation functions. IEEE Trans. , 154 - 156
    3. 3)
      • H.A. Barker . Choice of pseudorandom binary sequences for system identification. Electronics Letters , 524 - 526
    4. 4)
      • N. Zierler . Linear recurring sequences. J. Soc. Ind. Appl. Math. , 31 - 48
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