Eigenvalue-Based Detection in MIMO Systems for Integrated Sensing and Communication
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arXiv
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| Format: | Preprint |
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2025
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| author | Obando, Alex Atapattu, Saman Dharmawansa, Prathapasinghe Hourani, Akram Sithamparanathan, Kandeepan |
| author_facet | Obando, Alex Atapattu, Saman Dharmawansa, Prathapasinghe Hourani, Akram Sithamparanathan, Kandeepan |
| contents | This paper considers a MIMO Integrated Sensing and Communication (ISAC) system, where a base station simultaneously serves a MIMO communication user and a remote MIMO sensing receiver, without channel state information (CSI) at the transmitter. Existing MIMO ISAC literature often prioritizes communication rate or detection probability, typically under constant false-alarm rate (CFAR) assumptions, without jointly analyzing detection reliability and communication constraints. To address this gap, we adopt an eigenvalue-based detector for robust sensing and use a performance metric, the total detection error, that jointly captures false-alarm and missed-detection probabilities. We derive novel closed-form expressions for both probabilities under the eigenvalue detector, enabling rigorous sensing analysis. Using these expressions, we formulate and solve a joint power allocation and threshold optimization problem that minimizes total detection error while meeting a minimum communication rate requirement. Simulation results demonstrate that the proposed joint design substantially outperforms conventional CFAR-based schemes, highlighting the benefits of power- and threshold-aware optimization in MIMO ISAC systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09439 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Eigenvalue-Based Detection in MIMO Systems for Integrated Sensing and Communication Obando, Alex Atapattu, Saman Dharmawansa, Prathapasinghe Hourani, Akram Sithamparanathan, Kandeepan Signal Processing This paper considers a MIMO Integrated Sensing and Communication (ISAC) system, where a base station simultaneously serves a MIMO communication user and a remote MIMO sensing receiver, without channel state information (CSI) at the transmitter. Existing MIMO ISAC literature often prioritizes communication rate or detection probability, typically under constant false-alarm rate (CFAR) assumptions, without jointly analyzing detection reliability and communication constraints. To address this gap, we adopt an eigenvalue-based detector for robust sensing and use a performance metric, the total detection error, that jointly captures false-alarm and missed-detection probabilities. We derive novel closed-form expressions for both probabilities under the eigenvalue detector, enabling rigorous sensing analysis. Using these expressions, we formulate and solve a joint power allocation and threshold optimization problem that minimizes total detection error while meeting a minimum communication rate requirement. Simulation results demonstrate that the proposed joint design substantially outperforms conventional CFAR-based schemes, highlighting the benefits of power- and threshold-aware optimization in MIMO ISAC systems. |
| title | Eigenvalue-Based Detection in MIMO Systems for Integrated Sensing and Communication |
| topic | Signal Processing |
| url | https://arxiv.org/abs/2506.09439 |