Abstract

Inspired by the Ormia Ochracea hearing mechanism, a new direction of arrival estimation using multiple antenna arrays has been considered in spatially colored noise fields. This parasitoid insect can locate s cricket’s position accurately using the small distance between its ears, far beyond the standard array with the same aperture. This phenomenon can be understood as a mechanical coupled structure existing between the Ormia ears. The amplitude and phase differences between the received signals are amplified by the mechanical coupling, which is functionally equivalent to a longer baseline. In this paper, we regard this coupled structure as a multi-input multi-output filter, where coupling exists between each pair of array elements. Then, an iterative direction-finding algorithm based on fourth-order cumulants with fully coupled array is presented. In this manner, the orientation of the mainlobe can direct at the incident angle. Hence, the direction-finding accuracy can be improved in all possible incident angles. We derive the Cramér-Rao lower bound for our proposed algorithm and validate its performance based on simulations. Our proposed DOA estimation algorithm is superior to the existing biologically inspired direction-finding and fourth-order cumulants-based estimation algorithms.

Highlights

  • We extend our analysis to the uniform circular antenna array (UCA)

  • It should be noticed that (8) is free of any array structure constraint; we focus on the uniform linear array (ULA)

  • To formulate the direction of arrival (DOA) estimation problem conveniently, we introduce the statistical assumption corresponding to the model

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Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. The accuracy improvement brought by biologically inspired coupling merely exists within a certain range of DOA, which is in inverse proportion to the aperture of the array [36]. As for antenna arrays in practice, to achieve the resolution capability for multiple signals and high estimation accuracy, the aperture cannot be as closely spaced as the Ormia’s. This would restrict the range of accuracy improvement significantly. Simulations validate that the proposed algorithm outperforms the existing biologically inspired direction-finding method [37] and FOC-based. The assumption ensures that the difference between received signals are merely brought by the carrier phase

Mathematical Model
The Range of Biologically Inspired Direction-Finding
Biologically Inspired Fully Coupled Array
Proposed Algorithm
Algorithm Description
Convergence Analysis
Algorithms Extension to UCA
Numerical Results
Resolution Capability
Estimation Accuracy for ULA
Estimation Accuracy for UCA
Computational Complexity Comparison
Conclusions

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