Abstract
It is shown that it is possible to construct sets of binary sequences each of length equal to 4 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">N</sup> (where N is any natural number), which have the property that the sum of their 2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">N</sup> truncated autocorrelation functions is zero except for zero shift. The number of such sequences in any set is equal to 2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">N</sup> . The autor uses the term "broad sense complementary" sequences to describe the sets of codes with the above properties.
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More From: IEEE Transactions on Aerospace and Electronic Systems
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