Constructions of Doppler Resilient Complementary Sequence Sets With Zero Ambiguity Zone Properties

In recent years, integrated sensing and communication (ISAC) has garnered widespread attention from both the academia and wireless industry. Sequences with excellent ambiguity functions are critical in ISAC systems. In this paper, we propose several constructions of Doppler resilient complementary sequence sets with zero ambiguity zone properties (ZAZ-DRCSSs). First, we present two construction frameworks for ZAZ-DRCSSs using orthogonal matrices and designed mapping sets. By providing mapping sets that satisfy the conditions, the parameters of the resulting sequence sets can meet or conditionally approach the theoretical bound. Additionally, the flock size of the sequence set in the first construction can be flexibly specified. We then introduce a class of conditionally optimal ZAZ-DRCSSs based on additive and multiplicative characters over finite fields. To the best of our knowledge, this is the first construction of DRCSS based on the theory of finite fields.