New Construction of Asymptotically Optimal Low Ambiguity Zone Sequence Sets

Sequences with low ambiguity zone (LAZ) properties are employed in integrated sensing and communication (ISAC) systems. In this letter, we introduce a new class of LAZ sequence sets based on cubic sequences. The proposed LAZ sequence set is asymptotically optimal with respect to the Ye-Zhou-Fan-Liu-Lei-Tang (YZFLLT) bound when the sequence length is odd. Otherwise, it achieves <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\sqrt{2}$</tex-math></inline-formula> times of the YZFLLT bound. Furthermore, the sequence sets provide flexible choices for the sequence lengths, set size, and the LAZ region.