Asymptotically Optimal Aperiodic and Periodic Sequence Sets with Low Ambiguity Zone Through Locally Perfect Nonlinear Functions Article Swipe
Zheng Wang
,
Zhengchun Zhou
,
Avik Ranjan Adhikary
,
Yang Yang
,
Sihem Mesnager
,
Pingzhi Fan
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2501.11313
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2501.11313
Low ambiguity zone (LAZ) sequences play a crucial role in modern integrated sensing and communication (ISAC) systems. In this paper, we introduce a novel class of functions known as locally perfect nonlinear functions (LPNFs). By utilizing LPNFs and interleaving techniques, we propose three new classes of both periodic and aperiodic LAZ sequence sets with flexible parameters. The proposed periodic LAZ sequence sets are asymptotically optimal in relation to the periodic Ye-Zhou-Liu-Fan-Lei-Tang bound. Notably, the aperiodic LAZ sequence sets also asymptotically satisfy the aperiodic Ye-Zhou-Liu-Fan-Lei-Tang bound, marking the first construction in the literature. Finally, we demonstrate that the proposed sequence sets are cyclically distinct.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2501.11313
- https://arxiv.org/pdf/2501.11313
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4406735105
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https://openalex.org/W4406735105Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2501.11313Digital Object Identifier
- Title
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Asymptotically Optimal Aperiodic and Periodic Sequence Sets with Low Ambiguity Zone Through Locally Perfect Nonlinear FunctionsWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2025Year of publication
- Publication date
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2025-01-20Full publication date if available
- Authors
-
Zheng Wang, Zhengchun Zhou, Avik Ranjan Adhikary, Yang Yang, Sihem Mesnager, Pingzhi FanList of authors in order
- Landing page
-
https://arxiv.org/abs/2501.11313Publisher landing page
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https://arxiv.org/pdf/2501.11313Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2501.11313Direct OA link when available
- Concepts
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Aperiodic graph, Ambiguity, Sequence (biology), Nonlinear system, Mathematics, Mathematical analysis, Combinatorics, Computer science, Physics, Chemistry, Programming language, Quantum mechanics, BiochemistryTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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