Cramer-Rao bounds of direction-of-arrival and distance estimation of a near-field incident source for an acoustic vector sensor: Gaussian source and polynomial-phase source

The near-field array manifold of the acoustic vector sensor was recently derived by Wu et al [see 'the acoustic vector sensor's near-field array manifold' in IEEE Trans. Signal Process.]. The Cramer-Rao bounds (CRBs) of direction-of-arrival and distance estimation with a single pure tone were also derived therein. This study aims to investigate the estimation accuracy of the acoustic vector sensor in the near-field, through the CRBs analysis, by modelling the incident source as: (i) a Gaussian distributed random sequence, and (ii) a polynomial-phase signal. All the four different compositions of the acoustic vector sensor in the near-field are considered, and their 'closed-form' CRBs are derived.