Pulse Identification in Gamma-Ray Spectroscopy via Function Fitting
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Solution Overview
Problem
Existing methods for analyzing gamma-ray spectroscopy data are hindered by pulse pile-up, where multiple gamma-rays arriving simultaneously produce combined signals that are difficult to differentiate, leading to errors in chemical composition analysis, and existing pulse pile-up rejection techniques discard significant data, increasing radiation exposure and reducing detector effectiveness.
Innovation Solution
A method involving fitting functions to detector output data to locate and determine the amplitude of pulses, using mathematical transforms and error residual analysis to accurately identify pulse peaks despite noise and pile-up, while minimizing data rejection and radiation exposure.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If pulse pile-up rejection techniques are used to differentiate multiple gamma-rays, then measurement precision is improved, but quantity of substance is reduced due to data rejection
Solution Approach 1:
The patent replaces traditional electronic pulse processing methods with mathematical function fitting and signal decomposition techniques. By modeling detector output as a superposition of exponential decay functions, the system can mathematically separate overlapping pulses without discarding data, thus maintaining both precision and data quantity.
Solution Approach 2:
The patent transforms the pulse analysis problem from time-domain threshold detection to parameter estimation by fitting exponential decay models. By changing the analysis parameters from simple amplitude thresholds to continuous decay rate and amplitude parameters, the system achieves better pulse separation while utilizing all available data points.
2Device complexity
If traditional pulse analysis methods are used, then device complexity is reduced, but measurement precision deteriorates due to pulse pile-up errors
Solution Approach 1:
The patent replaces complex electronic pulse shaping and discrimination circuits with mathematical modeling and computational fitting methods. The exponential decay model fitting approach achieves high precision pulse parameter extraction without requiring complex hardware, thus improving measurement precision while maintaining relatively simple device architecture.
Solution Approach 2:
The patent introduces mathematical exponential decay functions as intermediaries between the raw detector signal and the final pulse parameter extraction. These function models serve as mediators that transform the complex overlapping pulse signals into separable mathematical components, enabling accurate analysis without additional hardware complexity.
3Measurement precision
If data rejection is increased to reduce pile-up errors, then measurement precision is improved, but loss of information increases
Solution Approach 1:
The patent replaces data rejection strategies with mathematical signal decomposition using exponential fitting. By modeling each pulse as an exponential decay function and fitting these models to the composite signal, the system extracts accurate pulse parameters from all data points without discarding any information, thus maintaining precision while minimizing information loss.
Solution Approach 2:
The patent changes the approach from binary data acceptance/rejection to continuous parameter estimation. By fitting exponential decay models with adjustable parameters (amplitude, decay rate, timing), the system utilizes all detector output data to estimate pulse characteristics, transforming information that would be rejected into useful quantitative parameters.
Data Source
AI summary
A method for locating a pulse in detector output data, comprising fitting one or more functions to the detector output data; and determining a location and an amplitude of a peak of said pulse from said one or more functions. The one or more functions may be are a function of time.