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Two-valued sequences with perfect periodic autocorrelation

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1 Author(s)
Golomb, S.W. ; Univ. of Southern California, Los Angeles, CA, USA

Periodic two-valued signals which exhibit two-level autocorrelation can, in many cases, be made to yield an out-of-phase autocorrelation value identically equal to zero. This can be achieved by replacing the two values of the sequence (normally +1 and -1) with the two values +1 and e, or with +1 and β (β real). Simple expression for φ and β are given, based on the parameters of the difference set to which such signals correspond. Another strategy is to transmit a sequence of +1s and -1s, but of +1s and bs (b real and negative). An expression for b is also obtained

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Aerospace and Electronic Systems, IEEE Transactions on  (Volume:28 ,  Issue: 2 )