Radar DoA Estimation via Forward-Backward Matrix Pencil
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Solution Overview
Problem
Radar systems face challenges in achieving high-resolution direction of arrival (DoA) estimation due to correlated echoes from targets illuminated by the same source, requiring additional decorrelation processes like spatial smoothing, which are computationally costly.
Innovation Solution
The method involves mathematically processing digital signals of radar reflections to construct a matrix pencil based on a forward-backward matrix, computing its eigenvalues, and using these eigenvalues to estimate the DoA, thereby reducing the need for costly spatial smoothing and enhancing computational efficiency.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If spatial smoothing is used to decorrelate array signals, then measurement precision of DoA estimation is improved, but device complexity and computational cost increase
Solution Approach 1:
The patent segments the array signal processing into forward and backward matrix components, creating a matrix pencil structure that divides the complex decorrelation problem into manageable segments. This segmentation allows eigenvalue-based DoA estimation without requiring full spatial smoothing, thereby reducing computational complexity while maintaining precision.
Solution Approach 2:
The patent inverts the conventional approach by constructing a matrix pencil from forward and backward matrices and directly computing eigenvalues, rather than applying spatial smoothing first. This inversion eliminates the need for computationally intensive decorrelation processes while achieving the same DoA estimation precision.
2Reliability
If spatial smoothing is applied to obtain multiple snapshots, then reliability of DoA estimation is improved, but productivity decreases due to high computational cost
Solution Approach 1:
The patent performs preliminary construction of the matrix pencil from forward and backward matrices before eigenvalue computation. This preliminary structuring enables direct DoA estimation without requiring multiple snapshots from spatial smoothing, thereby improving processing speed while maintaining estimation reliability through the eigenvalue-based approach.
3Measurement precision
If computational enhancements are employed for high-resolution imaging, then measurement precision is improved, but use of energy increases
Solution Approach 1:
The patent extracts the essential information for DoA estimation directly from the eigenvalues of the matrix pencil, taking out only the necessary computational elements needed for high-resolution imaging. This extraction approach achieves superior angular resolution without requiring the full computational burden of conventional spatial smoothing methods, thereby reducing energy consumption.
Data Source
AI summary
Aspects of the present disclosure are directed to radar signal processing apparatuses and methods. As may be implemented in accordance with one or more embodiments, digital signals representative of received reflections of radar signals transmitted towards a target are mathematically processed to provide or construct a matrix pencil based on or as a function of a forward-backward matrix. Eigenvalues of the matrix pencil are computed and an estimation of the direction of arrival (DoA) of the target is output based on the computed eigenvalues.