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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2509.05097 |
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| _version_ | 1866908521305473024 |
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| author | Amis, Karine Boutillon, Eloi Boutillon, Emmanuel |
| author_facet | Amis, Karine Boutillon, Eloi Boutillon, Emmanuel |
| contents | Constant amplitude zero-autocorrelation (CAZAC) sequences are mainly used for synchronization in communication and radar applications. The state-of-the-art proposes analytical derivation of specific families whose major limitation comes from the alphabet which only represents a fraction of the whole, the longer the sequences, the smaller the fraction. The objective of the paper is threefold, first to present the construction of constant amplitude zero-circular autocorrelation sequences of any length using iterative projection onto Unit Circle (IPUC) algorithm. This algorithm allows, from any random seed, to generate a near-CAZAC sequence. Then, focusing on length-8 sequences, we propose a classification of the IPUC output with an analytical expression of a representative for each identified equivalence class. Finally, the IPUC is applied within a simulated-annealing process to generate near-CAZAC sequences suitable for radar applications with optimized ratio between first and second lobes of the non-circular autocorrelation function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05097 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | CAZAC sequence generation of any length with iterative projection onto unit circle: principle and first results Amis, Karine Boutillon, Eloi Boutillon, Emmanuel Discrete Mathematics Constant amplitude zero-autocorrelation (CAZAC) sequences are mainly used for synchronization in communication and radar applications. The state-of-the-art proposes analytical derivation of specific families whose major limitation comes from the alphabet which only represents a fraction of the whole, the longer the sequences, the smaller the fraction. The objective of the paper is threefold, first to present the construction of constant amplitude zero-circular autocorrelation sequences of any length using iterative projection onto Unit Circle (IPUC) algorithm. This algorithm allows, from any random seed, to generate a near-CAZAC sequence. Then, focusing on length-8 sequences, we propose a classification of the IPUC output with an analytical expression of a representative for each identified equivalence class. Finally, the IPUC is applied within a simulated-annealing process to generate near-CAZAC sequences suitable for radar applications with optimized ratio between first and second lobes of the non-circular autocorrelation function. |
| title | CAZAC sequence generation of any length with iterative projection onto unit circle: principle and first results |
| topic | Discrete Mathematics |
| url | https://arxiv.org/abs/2509.05097 |