Performance Bounds for Near-Field Multi-Antenna Range Estimation of Extended Targets

Thiran, Guillaume;De Saint Moulin, François;Oestges, Claude;Vandendorpe, Luc
(2024) 2024 IEEE 25th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC) (10.September.2024)

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Abstract
In this paper, performance bounds for the multiantenna 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, Cram´er-Rao bounds are derived. Expressions emphasising the impact of various parameters are obtained, these parameters including the carrier frequency, the central frequency of the waveform, and its root-mean-square bandwidth. 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.
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Thiran, G., De Saint Moulin, F., Oestges, C., & Vandendorpe, L. (2024). Performance Bounds for Near-Field Multi-Antenna Range Estimation of Extended Targets. 2024 IEEE 25th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), pp. 261-265. https://doi.org/10.1109/SPAWC60668.2024.10694181