Approximation of the Range Ambiguity Function in Near-field Sensing Systems
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918296307105792 |
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| author | Wachowiak, Marcin Bourdoux, André Pollin, Sofie |
| author_facet | Wachowiak, Marcin Bourdoux, André Pollin, Sofie |
| contents | This paper investigates the range ambiguity function of near-field systems where bandwidth and near-field beamfocusing jointly determine the resolution. First, the general matched filter ambiguity function is derived and the near-field array factors of different antenna array geometries are introduced. Next, the near-field ambiguity function is approximated as a product of the range-dependent near-field array factor and the ambiguity function due to the utilized waveform and bandwidth. An approximation criterion based on the aperture-bandwidth product is formulated, and its accuracy is examined. Finally, the improvements to the ambiguity function offered by the near-field beamfocusing, as compared to the far-field case, are presented. The performance gains are evaluated in terms of resolution improvement offered by beamfocusing, peak-to-sidelobe and integrated-sidelobe level improvement for a few popular array geometries. The gains offered by the near-field regime are shown to be range-dependent and substantial only in close proximity to the array. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22423 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Approximation of the Range Ambiguity Function in Near-field Sensing Systems Wachowiak, Marcin Bourdoux, André Pollin, Sofie Signal Processing This paper investigates the range ambiguity function of near-field systems where bandwidth and near-field beamfocusing jointly determine the resolution. First, the general matched filter ambiguity function is derived and the near-field array factors of different antenna array geometries are introduced. Next, the near-field ambiguity function is approximated as a product of the range-dependent near-field array factor and the ambiguity function due to the utilized waveform and bandwidth. An approximation criterion based on the aperture-bandwidth product is formulated, and its accuracy is examined. Finally, the improvements to the ambiguity function offered by the near-field beamfocusing, as compared to the far-field case, are presented. The performance gains are evaluated in terms of resolution improvement offered by beamfocusing, peak-to-sidelobe and integrated-sidelobe level improvement for a few popular array geometries. The gains offered by the near-field regime are shown to be range-dependent and substantial only in close proximity to the array. |
| title | Approximation of the Range Ambiguity Function in Near-field Sensing Systems |
| topic | Signal Processing |
| url | https://arxiv.org/abs/2509.22423 |