Performance Bounds for Near-Field Multi-Antenna Range Estimation of Extended Targets
arxiv(2024)
摘要
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
classical 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 developed
till expressions in which the parameters' impact is emphasised, namely the
carrier frequency, the waveform central frequency and 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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