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Two-valued sequences with perfect periodic autocorrelation

机译:具有理想周期自相关的二值序列

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摘要

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/sup i phi /, or with +1 and beta ( beta real). Simple expression for phi and beta 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.
机译:在许多情况下,可以使表现出两级自相关的周期性二值信号产生等于零的异相自相关值。这可以通过用两个值+1和e / sup i phi /或用+1和beta(beta实数)替换序列的两个值(通常为+1和-1)来实现。基于此类信号所对应的差异集的参数,给出了phi和beta的简单表达式。另一种策略是传输一个+ 1s和-1s,但+ 1s和bs的序列(b实数和负数)。还获得了b的表达式。

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