Error Rate Measurement Timing Through Confidence-Level Convergence
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Solution Overview
Problem
Existing error rate measurement apparatuses struggle to automatically determine the required measurement time to achieve a desired confidence level when the assumed number of errors is 1 or more, leading to inefficient user intervention and prolonged measurement times.
Innovation Solution
An error rate measurement apparatus and method that calculates measurement time by iteratively narrowing down a sum x using a double-precision floating-point number, employing a convergence determination based on rounding errors to achieve a target confidence level, thereby automating the process and reducing user effort.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the measurement time is manually adjusted by the user to achieve desired confidence level, then the confidence level can be optimized, but the work efficiency decreases due to manual trial-and-error process
Solution Approach 1:
The system performs automatic measurement time calculation by itself without requiring user intervention. The calculation unit automatically computes the required measurement time based on input parameters (target BER, confidence level, bit rate), eliminating the need for users to manually adjust measurement time through trial and error, thus maintaining measurement precision while significantly improving work efficiency
Solution Approach 2:
The manual mechanical adjustment process (user changing measurement time settings) is replaced by an automated calculation system that uses mathematical formulas and computational algorithms to determine the optimal measurement time, substituting human operation with automated computation to resolve the contradiction between precision and efficiency
2Measurement precision
If the measurement time is set to ensure desired confidence level, then the measurement accuracy improves, but the measurement time increases which reduces productivity
Solution Approach 1:
The system dynamically calculates and adjusts the measurement time parameter based on other input parameters (target BER, confidence level, bit rate). By using the mathematical relationship in the confidence level expression, the system determines the minimum required measurement time to achieve the desired confidence level, optimizing the balance between measurement accuracy and time consumption rather than using fixed or overly conservative time settings
3Measurement precision
If mathematical calculation is performed to solve for measurement time when E≥1, then the measurement time can be precisely determined, but the calculation becomes mathematically difficult and impractical
Solution Approach 1:
The complex mathematical solution process is replaced by a computational approach using a calculation unit that implements the confidence level expression through software or firmware. Instead of solving difficult mathematical equations analytically, the system uses numerical computation and iterative calculation methods that are easily implementable in digital systems, reducing calculation complexity while maintaining precision
Solution Approach 2:
A calculation unit acts as an intermediary between the input parameters and the measurement time determination. This intermediary component handles the complex computational tasks using programmed algorithms, shielding the user from mathematical complexity while providing precise measurement time values based on the confidence level expression
Data Source
AI summary
An error rate measurement apparatus includes a provisional confidence level calculation unit that calculates a provisional confidence level CLx by using the sum x, an upper and lower limit value update unit that substitutes the sum x for the variable min_x in a case where the provisional confidence level CLx is equal to or lower than a target confidence level CLs, and substitutes the sum x for the variable max_x in a case where the provisional confidence level CLx is higher than the target confidence level CLs, and a measurement time calculation unit that calculates, in a case where changes in a value of the sum x calculated by the average value calculation unit are converged in a predetermined range, a value obtained by dividing the converged sum x by a product of a data rate and a target error rate ERs, as the measurement time.