Radiation Source Orientation Matrix Optimization via Singular Value Analysis
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Solution Overview
Problem
Current radiation source orientation systems face challenges in optimizing the orientation matrix and array, leading to suboptimal performance and increased interference noise, which hinders accurate radiation source orientation determination.
Innovation Solution
A method is developed to optimize the radiation source orientation matrix and array by classifying noise energy distribution, determining optimal matrices based on minimum singular values and interference factors, and selecting the appropriate orientation matrix and array structure to minimize orientation errors.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the ordinary least square (OLS) solution is used to estimate the radiation source vector, then the radiation source orientation can be determined, but the orientation noise caused by system internal and environmental interference cannot be effectively reduced
Solution Approach 1:
The patent transforms the radiation source orientation problem from directly solving the orientation equation to optimizing the orientation matrix parameters. By changing the parameter optimization approach from direct variable estimation to matrix structure optimization, the system achieves better noise resistance while maintaining orientation determination capability.
Solution Approach 2:
The patent applies preliminary optimization to the orientation matrix before actual orientation determination. By pre-optimizing the matrix structure to maximize the minimum non-zero singular value, the system prepares the measurement system in advance to minimize the impact of interference noise on orientation accuracy.
2Measurement precision
If the orientation matrix is optimized based on maximum minimum non-zero singular value, then the orientation accuracy is improved, but the system complexity increases due to noise classification and optimization calculations
Solution Approach 1:
The patent simplifies the optimization problem by changing the optimization parameter from multiple variables to a single dominant parameter (minimum non-zero singular value). This parameter transformation reduces the computational complexity while maintaining the ability to improve orientation accuracy through matrix optimization.
Solution Approach 2:
The patent replaces complex iterative optimization algorithms with a more straightforward singular value-based optimization approach. By substituting the optimization mechanism from general nonlinear optimization to singular value decomposition-based optimization, the system reduces computational burden while achieving the same goal of improving orientation accuracy.
3Measurement precision
If more array elements are added to the orientation array, then the orientation performance is improved, but the array structure complexity and manufacturing difficulty increase
Solution Approach 1:
The patent changes the design parameter from array element count to array structure configuration that optimizes the orientation matrix properties. By transforming the optimization focus from quantity (number of elements) to quality (spatial arrangement and matrix structure), the system achieves improved orientation performance without necessarily increasing manufacturing complexity.
Solution Approach 2:
The patent applies local quality optimization by carefully positioning array elements to achieve optimal orientation matrix properties. Instead of uniformly distributing elements or simply increasing their number, the system optimizes the local spatial configuration of elements to maximize the minimum non-zero singular value, achieving better performance with potentially fewer elements.
Data Source
AI summary
The present invention relates to a radiation source orientation technology. The invention discloses a method for optimizing the orientation performance of radiation source orientation system, which comprises the following steps: establishing a radiation source orientation matrix; obtaining the non-zero singular value of the orientation matrix; classifying orientation noise that affects the radiation source orientation system according to the distribution characteristic of noise energy; determining the optimal orientation matrix of the radiation source orientation system according to the minimum non-zero singular value σmin of the orientation matrix and its number of array elements m; determining the optimal orientation array according to the non-zero singular value of orientation matrix considering the distribution of different noise energy. The invention lays a foundation for the optimal design of a non-planar array in a radiation source orientation system. The optimal orientation matrix and array provided by the invention can be used to effectively improve the orientation accuracy of the radiation source orientation system and the resistance of the orientation system to interference.