Wave Scattering Analysis Using Inter-Angle Matrix Segmentation
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Solution Overview
Problem
Existing methods for analyzing media using wave scattering, such as ultrasound medical imaging, struggle with separating single and multiple scattering components effectively, especially in media with a large number of scattering objects or high scattering power, leading to poor signal-to-noise ratio and limited depth penetration.
Innovation Solution
The method involves generating and receiving plane or spiral waves with specific transmission and reception angles using a transducer array, which allows for the creation of a windowed inter-angle matrix. This matrix is then processed to separate the single and multiple scattering components through filtering, utilizing techniques such as single value decomposition or projection onto the Hankel space.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional scattering analysis methods are used to analyze media with many scattering objects, then the analysis can be performed, but the signal-to-noise ratio deteriorates and depth penetration is limited
Solution Approach 1:
The invention segments the scattered wave field into distinct components (direct wave, single scattered wave, multiple scattered wave) based on their different propagation paths and scattering orders. By separating these components mathematically from the composite received signal, the method enables precise measurement of each component even in media with many scattering objects, thereby maintaining high signal-to-noise ratio despite increasing quantity of scatterers
Solution Approach 2:
The invention introduces an intermediary mathematical model that represents the relationship between transmitted and received waves through the scattering medium. This model acts as a mediator to decompose the complex received signal into distinct scattering components, allowing accurate extraction of single scattering signals from the composite field without degradation due to multiple scattering interference
2Measurement precision
If conventional scattering analysis methods are used in media with high scattering power, then the analysis can be performed, but the signal-to-noise ratio deteriorates
Solution Approach 1:
The method segments the total scattered field into components of different scattering orders. By isolating the single scattering component from the composite signal, the method achieves accurate measurement even when the medium has high overall scattering power, as the segmentation process effectively filters out the harmful multiple scattering contributions
Solution Approach 2:
The invention converts the harmful effect of multiple scattering into a beneficial separation process. By mathematically modeling and decomposing the composite signal, the method identifies and extracts the single scattering component while treating multiple scattering as a distinguishable and removable interference, thereby converting the harmful high scattering power environment into a manageable analysis condition
3Measurement precision
If filtering techniques are applied to separate scattering components, then separation quality improves, but processing complexity increases
Solution Approach 1:
The invention replaces complex mechanical or iterative filtering systems with a mathematical substitution approach. By formulating the separation problem as a system of linear equations based on the known structural relationships between different scattering components, the method achieves high separation quality through direct mathematical computation rather than iterative filtering, thereby reducing processing complexity
Solution Approach 2:
The method changes the parameter space by transforming the separation problem from the time-domain signal space to a parameter space defined by scattering order and propagation path characteristics. This parameter transformation enables efficient decomposition using linear algebra operations, improving separation quality while keeping processing complexity manageable through mathematical optimization
4Measurement precision
If comprehensive scattering analysis is performed, then analysis accuracy improves, but acquisition time increases
Solution Approach 1:
The invention performs preliminary action by pre-establishing the mathematical relationships and structural models of different scattering components before actual signal acquisition. By preparing the decomposition framework and known parameter relationships in advance, the method enables rapid separation and analysis during data acquisition, thereby improving analysis accuracy without proportionally increasing acquisition time
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The approach improves the quality of separation between single and multiple scattering components, enhancing the accuracy of medium analysis and increasing the depth penetration of the method, while reducing the complexity and time required for data acquisition.
Implementation Method 1
Different solutions are known for analyzing a medium using the principle of scattering of a wave
Data Source
AI summary
The present invention relates to a method and device for analysing a medium based on: —emitting plane or spiral emission waves (Oinc1) each having a respective emission angle, —receiving reception signals representative of plane or spiral reception waves (Orec1) each having a respective reception angle, each reception signal including a singly scattered component and a multiply scattered component, —processing the reception signals to extract the singly scattered component and/or the multiply scattered component of said reception signals.