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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.06949 |
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| _version_ | 1866910538722705408 |
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| author | Thiran, Guillaume Moulin, François De Saint Oestges, Claude Vandendorpe, Luc |
| author_facet | Thiran, Guillaume Moulin, François De Saint Oestges, Claude Vandendorpe, Luc |
| contents | In this paper, performance bounds for the multi-antenna near-field range estimation of extended targets are provided. First, analytic expressions of the ambiguity functions are obtained, emphasising the cooperation between the waveform delay and the near-field phase shift information. The impact of estimating the range of an extended target with a point target model is analysed, showing that a model mismatch leads to severe performance degradation in the near-field region. Secondly, Cramer-Rao bounds are derived. Expressions emphasising the parameters' impact are obtained, the parameters being the carrier frequency, and the central frequency and root-mean-square bandwidth of the waveform. The near-field range information is shown to depend on the root-mean-square value of the propagation delay derivatives, this value scaling with the fourth power of the ratio between the antenna array dimension and the target range. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06949 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Performance Bounds for Near-Field Multi-Antenna Range Estimation of Extended Targets Thiran, Guillaume Moulin, François De Saint Oestges, Claude Vandendorpe, Luc Signal Processing In this paper, performance bounds for the multi-antenna near-field range estimation of extended targets are provided. First, analytic expressions of the ambiguity functions are obtained, emphasising the cooperation between the waveform delay and the near-field phase shift information. The impact of estimating the range of an extended target with a point target model is analysed, showing that a model mismatch leads to severe performance degradation in the near-field region. Secondly, Cramer-Rao bounds are derived. Expressions emphasising the parameters' impact are obtained, the parameters being the carrier frequency, and the central frequency and root-mean-square bandwidth of the waveform. The near-field range information is shown to depend on the root-mean-square value of the propagation delay derivatives, this value scaling with the fourth power of the ratio between the antenna array dimension and the target range. |
| title | Performance Bounds for Near-Field Multi-Antenna Range Estimation of Extended Targets |
| topic | Signal Processing |
| url | https://arxiv.org/abs/2404.06949 |