Radar Cross Section Calculation Using Phong Scattering Model

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Solution Overview

Problem

Current methods for calculating radar cross sections in Vehicle-in-the-Loop test facilities are not real-time capable, making them unsuitable for dynamic testing of driver assistance systems.

Innovation Solution

A method and device that simulate the propagation of virtual radar signals in a simulated environment, dividing the physical variable into directional and diffuse components to determine the radar cross section of a simulated radar target using the Phong formula, enabling real-time calculation and accounting for interreflections.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If statistical models or ray tracing approaches are used to calculate radar cross section, then measurement precision is improved, but productivity deteriorates because these methods are not real-time capable

Engineering Contradiction:
Improveradar cross section calculation accuracyVSAvoidreal-time calculation capability
Core Design Contradiction:
Measurement precisionVSProductivity

Solution Approach 1:

The patent transforms the complex ray tracing calculation into a simplified parameter-based model using the Phong formula. By changing the calculation parameters from detailed electromagnetic wave propagation to simplified scattering coefficients (diffuse and specular components), the system achieves real-time computation while maintaining acceptable accuracy for driver assistance system testing.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent creates a simplified computational copy of the radar scattering phenomenon. Instead of performing full electromagnetic simulations, it uses a Phong-based model that copies the essential scattering behavior through pre-defined diffuse and specular reflection coefficients, enabling real-time performance.

Inventive Principle:
Principle #26Copying

2Measurement precision

If detailed electromagnetic simulations are performed to account for material properties and interreflections, then measurement precision is improved, but device complexity increases

Engineering Contradiction:
Improveradar signal interaction realismVSAvoidcalculation model complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent segments the complex scattering phenomenon into two distinct components: diffuse scattering and specular reflection. Each component is handled separately with its own coefficient, allowing the system to model complex interactions without requiring a monolithic complex model. This segmentation enables real-time calculation while capturing essential physical behaviors.

Inventive Principle:
Principle #1Segmentation

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

Enables the precise and rapid determination of radar cross sections in real-time, facilitating dynamic testing and realistic simulation of radar signal interactions with multiple targets.

Implementation Method 1

an interaction of the virtual radar signal with the simulated radar target is modeled such that a physical variable characterizing the virtual radar signal is divided into a directional component corresponding to a directed scattering of the virtual radar signal and a diffuse component corresponding to an isotropic scattering of the virtual radar signal

Methodology Applied
Scientific EffectScattering: Scattering

Data Source

PatentUS11899130B2Method and device for determining a radar cross section, method for training an interaction model, and radar target emulator and test facility
Publication Date: 2024.02.13 AVL LIST GMBH
  • US11899130B2 patent drawing
  • US11899130B2 patent drawing

AI summary

A method and a device for determining a radar cross section, a method for training an interaction model, a radar target emulator for manipulating a radar signal, and a test facility for a vehicle are described herein. The propagation of a virtual radar signal is simulated on the basis of an interaction model in a simulated environment scenario that contains the simulated radar target. An interaction of the virtual radar signal with the simulated radar target is modelled such that a physical variable, characterizing the virtual radar signal, is divided into a directional component that corresponds to a directed scattering of the virtual radar signal and into a diffuse component that corresponds to an isotropic scattering of the virtual radar signal. A value of the physical variable is determined at a receiver point in the simulated environment scenario, taking into account the directional component and the diffuse component, and the radar cross section of the simulated radar target is derived from the determined value of the physical variable at the receiver point.