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Article Contents

# Integer-valued Alexis sequences with large zero correlation zone

• In this paper, a new class of integer-valued Alexis sequences with length N = 2 (mod 4) is proposed and constructed by using integer-valued almost-perfect sequences obtained from three integer-valued elementary sequences. Compared with binary Alexis sequences, the proposed integer-valued Alexis sequences have a larger zero correlation zone (ZCZ). In addition, the maximal energy efficiency of the proposed sequences is investigated.

Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

 Citation:

• Table 1.  Comparisons of ZCZ between binary and proposed sequences

 $N_a$ binary Alexis sequences [1] integer-valued Alexis sequences 10 4 5 14 5 6 18 7 8 22 8 10 26 8 12 30 unknown 14
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