A theoretical study and computer search for binary sequences having specific auto-correlation functions

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Author
Anastasopoulos, Ioannis
Date
1978-12Advisor
Myers, Glen
Second Reader
Jauregui, S.
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Show full item recordAbstract
Binary sequences find increasing use in electrical
engineering applications of ranging, time measurement and
communications. A property of interest in these applications
is the autocorrelation function of the binary sequence or
pair of sequences. Of the 2 possible sequences of length n,
only a few have usable autocorrelation functions. There is,
to date, no procedure known which will provide the sequence
having a specific autocorrelation function, except for very
particular cases
.
In this report, known properties of complementary sequences
are reviewed. Almost complementary sequences are defined and
the procedure to obtain them is outlined. A formula is
derived for the number of different autocorrelation functions
of the 2 possible sequences of length n bits. A computer
search is implemented with the objective of discovering sequences
with desirable autocorrelation functions.
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