Low-Resolution Measurement Correction Through Iterative Perturbation
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Existing systems fail to accurately test the normality of low-resolution measurements due to inherent resolution limits of measurement devices, leading to false rejections of distribution assumptions and increased costs, especially in sensitive applications like medical device testing.
Innovation Solution
A method that reintroduces variation into low-resolution measurements by iteratively computing perturbed values until a stability criterion is met, allowing for higher resolution and accurate distribution testing.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If low-resolution measurements are used due to measurement device limitations, then device complexity and cost are reduced, but measurement precision and accuracy of distribution testing deteriorate
Solution Approach 1:
The patent introduces an intermediary computational process that takes low-resolution measurements as input and generates perturbed values with higher resolution through iterative computation. This intermediary system (the correction algorithm) bridges the gap between the limited measurement device and the requirement for high-resolution distribution testing, allowing accurate statistical analysis without needing expensive high-resolution measurement equipment.
2Ease of manufacture
If low-resolution measurements are used to reduce costs, then manufacturing cost is reduced, but reliability of distribution assumptions deteriorates due to false rejections
Solution Approach 1:
The patent implements a feedback mechanism where the iterative computation process continuously refines the perturbed values by comparing statistical properties and adjusting the resolution enhancement accordingly. The system uses distribution testing feedback to determine when the correction process has achieved sufficient accuracy, allowing reliable distribution assumptions to be made about the underlying high-resolution measurements without requiring actual high-resolution measurement equipment.
3Measurement precision
If iterative computation is performed to enhance resolution of low-resolution measurements, then measurement precision is improved, but computing time and processing complexity increase
Solution Approach 1:
The patent applies partial action by performing iterative computation only to the extent necessary to achieve sufficient resolution enhancement for distribution testing. Rather than attempting to perfectly reconstruct the original high-resolution measurements, the method performs just enough iterative refinement to restore the statistical properties needed for reliable normality testing, thereby avoiding unnecessary computing time while still achieving the required measurement precision for the statistical analysis.
Data Source
AI summary
Methods and systems to correct low-resolution measurements corresponding to unobservable high-resolution measurements by introducing variation in the plurality of low-resolution measurements through iteratively computing, until a termination criteria is met, perturbed values for the low-resolution measurements. The perturbed values have a higher resolution than another resolution of the low-resolution measurements. A distribution test may afterwards be performed on the perturbed values that remain after the termination criteria is met.