Dynamic Joint Communications and Sensing Precoding Design: A Lyapunov Approach
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866917959508688896 |
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| author | Zakeri, Abolfazl Nguyen, Nhan Thanh Alkhateeb, Ahmed Juntti, Markku |
| author_facet | Zakeri, Abolfazl Nguyen, Nhan Thanh Alkhateeb, Ahmed Juntti, Markku |
| contents | This letter proposes a dynamic joint communications and sensing (JCAS) framework to adaptively design dedicated sensing and communications precoders. We first formulate a stochastic control problem to maximize the long-term average signal-to-noise ratio for sensing, subject to a minimum average communications signal-to-interference-plus-noise ratio requirement and a power budget. Using Lyapunov optimization, specifically the drift-plus-penalty method, we cast the problem into a sequence of per-slot non-convex problems. To solve these problems, we develop a successive convex approximation method. Additionally, we derive a closed-form solution to the per-slot problems based on the notion of zero-forcing. Numerical evaluations demonstrate the efficacy of the proposed methods and highlight their superiority compared to a baseline method based on conventional design. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14054 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamic Joint Communications and Sensing Precoding Design: A Lyapunov Approach Zakeri, Abolfazl Nguyen, Nhan Thanh Alkhateeb, Ahmed Juntti, Markku Signal Processing This letter proposes a dynamic joint communications and sensing (JCAS) framework to adaptively design dedicated sensing and communications precoders. We first formulate a stochastic control problem to maximize the long-term average signal-to-noise ratio for sensing, subject to a minimum average communications signal-to-interference-plus-noise ratio requirement and a power budget. Using Lyapunov optimization, specifically the drift-plus-penalty method, we cast the problem into a sequence of per-slot non-convex problems. To solve these problems, we develop a successive convex approximation method. Additionally, we derive a closed-form solution to the per-slot problems based on the notion of zero-forcing. Numerical evaluations demonstrate the efficacy of the proposed methods and highlight their superiority compared to a baseline method based on conventional design. |
| title | Dynamic Joint Communications and Sensing Precoding Design: A Lyapunov Approach |
| topic | Signal Processing |
| url | https://arxiv.org/abs/2503.14054 |