Quaternionic Scattering Model Calibration for Receiver Arrays
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Solution Overview
Problem
Conventional calibration methods for receiver arrays are ineffective in unforeseen scattering environments, particularly in field deployments where anechoic chamber calibration is not applicable, and fail to accurately geolocate targets in noisy conditions with co-channel interference.
Innovation Solution
A quaternionic scattering model-based calibration method that allows for rapid, cost-effective calibration using sparse sampling and closed-loop repair, utilizing a least squares fit to a set of basis functions approximating the wave equation, which calibrates both vertical and horizontal propagation modes for polarization diverse arrays.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If anechoic chamber calibration is used for receiver arrays, then calibration accuracy is improved in controlled environments, but the method becomes inapplicable and expensive for field deployments
Solution Approach 1:
The patent implements a feedback mechanism where the calibration system uses measured scattering data from the operational environment to iteratively refine the calibration parameters. The system continuously adjusts the quaternionic scattering model based on feedback from actual field measurements, allowing accurate calibration without requiring an anechoic chamber. This feedback loop enables the system to adapt to the specific scattering characteristics of the deployment environment.
Solution Approach 2:
The patent introduces quaternionic scattering models as an intermediary mathematical framework that bridges the gap between controlled chamber calibration and field deployment. These models act as a mediator that can represent scattering environments in both controlled and uncontrolled settings, allowing calibration parameters to be transferred and adapted from chamber measurements to field operations through the quaternionic representation of electromagnetic scattering.
2Ease of manufacture
If conventional calibration methods are used in scattering environments, then calibration can be performed with available equipment, but geolocation accuracy deteriorates due to unforeseen scattering
Solution Approach 1:
The patent transforms the calibration approach by changing the mathematical parameters used to represent scattering environments. Instead of using conventional real-valued calibration parameters that fail in scattering conditions, the system employs quaternionic parameters that can represent the full complexity of scattering environments. This parameter transformation allows the calibration to remain feasible with available equipment while maintaining geolocation accuracy in scattering conditions.
Solution Approach 2:
The patent creates a composite calibration model that combines multiple mathematical representations (quaternionic scattering models, basis functions, and least squares fitting) to handle the complexity of scattering environments. This composite approach integrates different mathematical tools to achieve both the feasibility of calibration with standard equipment and the precision needed for accurate geolocation in scattering conditions.
3Productivity
If rapid ground calibration experiments are conducted, then deployment time is reduced, but calibration completeness may be compromised
Solution Approach 1:
The patent performs preliminary action by pre-computing and storing quaternionic scattering basis functions and models during the rapid ground calibration phase. These pre-computed models serve as a foundation that can be quickly applied to field deployments without requiring complete recalibration. The preliminary computation of scattering parameters allows the system to achieve both rapid deployment and calibration completeness by having the mathematical framework ready in advance.
Solution Approach 2:
The patent applies partial action by using a reduced set of calibration measurements combined with quaternionic scattering models to achieve complete calibration. Instead of requiring exhaustive measurements of all possible scattering conditions, the system uses a partial set of measurements supplemented by the mathematical power of quaternionic models to represent the full scattering environment, thus achieving calibration completeness with reduced measurement effort.
Data Source
AI summary
The system and method of calibrating a receiver array using a quaternionic scattering model. The calibration method is model based, quick, and suitable for sparse sampling of the array. The calibration scheme can be cheaply and rapidly deployed, either from operational test data or from rapid ground calibration experiments. The model allows for closed loop calibration repair during actual geolocation or line of bearing collects.