Asymptotically Optimal Sequence Sets With Low/Zero Ambiguity Zone Properties
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916656274472960 |
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| author | Tian, Liying Song, Xiaoshi Liu, Zilong Li, Yubo |
| author_facet | Tian, Liying Song, Xiaoshi Liu, Zilong Li, Yubo |
| contents | Sequences with low/zero ambiguity zone (LAZ/ZAZ) properties are useful in modern communication and radar systems operating over mobile environments. This paper first presents a new family of ZAZ sequence sets motivated by the ``modulating'' zero correlation zone (ZCZ) sequences which were first proposed by Popovic and Mauritz. We then introduce a second family of ZAZ sequence sets with comb-like spectrum, whereby the local Doppler resilience is guaranteed by their inherent spectral nulls in the frequency domain. Finally, LAZ sequence sets are obtained by exploiting their connection with a novel class of mapping functions. These proposed unimodular ZAZ and LAZ sequence sets are cyclically distinct and asymptotically optimal with respect to the existing theoretical bounds on ambiguity functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00683 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotically Optimal Sequence Sets With Low/Zero Ambiguity Zone Properties Tian, Liying Song, Xiaoshi Liu, Zilong Li, Yubo Information Theory Sequences with low/zero ambiguity zone (LAZ/ZAZ) properties are useful in modern communication and radar systems operating over mobile environments. This paper first presents a new family of ZAZ sequence sets motivated by the ``modulating'' zero correlation zone (ZCZ) sequences which were first proposed by Popovic and Mauritz. We then introduce a second family of ZAZ sequence sets with comb-like spectrum, whereby the local Doppler resilience is guaranteed by their inherent spectral nulls in the frequency domain. Finally, LAZ sequence sets are obtained by exploiting their connection with a novel class of mapping functions. These proposed unimodular ZAZ and LAZ sequence sets are cyclically distinct and asymptotically optimal with respect to the existing theoretical bounds on ambiguity functions. |
| title | Asymptotically Optimal Sequence Sets With Low/Zero Ambiguity Zone Properties |
| topic | Information Theory |
| url | https://arxiv.org/abs/2401.00683 |