A Poincaré Lower Bound Approach for Performance Trade-offs in MIMO ISAC Systems with Blockage
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917899147411456 |
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| author | Mohajer, Mohammadreza Bakhshizadeh Barletta, Luca Tuninetti, Daniela Tomasoni, Alessandro Iacono, Daniele Lo Osnato, Fabio |
| author_facet | Mohajer, Mohammadreza Bakhshizadeh Barletta, Luca Tuninetti, Daniela Tomasoni, Alessandro Iacono, Daniele Lo Osnato, Fabio |
| contents | Characterizing the performance trade-offs between sensing and communication subsystems is essential for enabling integrated sensing and communication systems. Various metrics exist for each subsystem; however, this study focuses on the ergodic capacity of the communication subsystem. Due to the complexity of deriving the sensing mean square error (MSE) and the inapplicability of the Bayesian Cramér-Rao Bound to channels with discrete or mixed distributions, this work proposes a Poincaré lower bound on the sensing MSE to address these issues. An achievable inner bound for the rate-sensing trade-off in a fading multiple-input multiple-output channel with additive white Gaussian noise and blockage probability is established. In addition, a strategy that is asymptotically optimal for sensing is provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03707 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Poincaré Lower Bound Approach for Performance Trade-offs in MIMO ISAC Systems with Blockage Mohajer, Mohammadreza Bakhshizadeh Barletta, Luca Tuninetti, Daniela Tomasoni, Alessandro Iacono, Daniele Lo Osnato, Fabio Information Theory Characterizing the performance trade-offs between sensing and communication subsystems is essential for enabling integrated sensing and communication systems. Various metrics exist for each subsystem; however, this study focuses on the ergodic capacity of the communication subsystem. Due to the complexity of deriving the sensing mean square error (MSE) and the inapplicability of the Bayesian Cramér-Rao Bound to channels with discrete or mixed distributions, this work proposes a Poincaré lower bound on the sensing MSE to address these issues. An achievable inner bound for the rate-sensing trade-off in a fading multiple-input multiple-output channel with additive white Gaussian noise and blockage probability is established. In addition, a strategy that is asymptotically optimal for sensing is provided. |
| title | A Poincaré Lower Bound Approach for Performance Trade-offs in MIMO ISAC Systems with Blockage |
| topic | Information Theory |
| url | https://arxiv.org/abs/2501.03707 |