Autocorrelation-Run Formula for Binary Sequences

Details Autocorrelation-Run Formula for Binary Sequences Autocorrelation-Run Formula for Binary Sequences

2009-09-25

arxiv.org/abs/0909.4592v2

Computer Science

Information Theory

18 pages, 1 figure

Scientific paper

The autocorrelation function and the run structure are two basic notions for
binary sequences, and have been used as two independent postulates to test
randomness of binary sequences ever since Golomb 1955. In this paper, we prove
for binary sequence that the autocorrelation function is in fact completely
determined by its run structure.

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