Temperature Insensitive Testing Device Using Polynomial Coefficients
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Solution Overview
Problem
Existing testing circuits face inefficiencies due to temperature variations, as they require large mapping tables or inaccurate approximation calculations to maintain optimal performance, leading to erroneous detection results, especially in applications like automobile electronics where temperature differences are significant.
Innovation Solution
A temperature insensitive testing device and method that generates a test signal and echo signal through a transmission line, using a correlation-value generating circuit to calculate correlation values and determine the status of the transmission line within a predetermined frequency range, thereby maintaining accurate results despite temperature variations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If a mapping table stores a plurality of parameters in connection with temperature variation, then the circuit can acquire appropriate parameters for different temperature conditions, but the mapping table becomes enormously huge in storage size and consumes a lot of memory space
Solution Approach 1:
The patent changes the parameter representation from discrete mapping table entries to continuous polynomial coefficients. Instead of storing individual parameter values for each temperature point in a huge mapping table, the system stores coefficients of polynomial equations that can generate optimal parameters for any temperature within the operating range, significantly reducing memory space while maintaining adaptability.
Solution Approach 2:
The patent uses polynomial interpolation to create a mathematical model (copy) of the parameter-temperature relationship. Rather than storing actual measured parameter values for every possible temperature condition, the system creates a simplified mathematical representation that can accurately predict optimal parameters across the entire temperature range.
2Quantity of substance
If only a few parameters are stored in the mapping table, then the memory space consumption is reduced, but the circuit has to execute approximation calculation (e.g., interpolation calculation) to obtain new parameters, which consumes operation resource and reduces parameter accuracy
Solution Approach 1:
The patent transforms the parameter storage approach from storing discrete parameter values to storing polynomial coefficients. This parameter change allows the system to maintain high parameter accuracy across the entire temperature range while using minimal memory space, as the polynomial equations can precisely generate optimal parameters for any temperature condition without requiring heavy approximation calculations.
3Quantity of substance
If the circuit executes approximation calculation (e.g., interpolation calculation) to obtain new parameters, then the memory space consumption is reduced, but the operation resource of the circuit is consumed and the new parameters are relatively inaccurate
Solution Approach 1:
The patent changes the computational approach from executing complex interpolation calculations to evaluating polynomial equations. By transforming the parameter representation into polynomial form, the system reduces the computational complexity and operation resources required to generate optimal parameters for any given temperature, while maintaining high parameter accuracy throughout the operating range.
Data Source
AI summary
The present invention discloses a temperature insensitive testing device comprising: a transmission-end test sequence generating circuit to generate a test sequence; a transmission circuit to process the test sequence according to a transmission clock and thereby generate a test signal; a reception circuit to process an echo of the test signal and generate a digital echo signal; a correlation-value generating circuit to generate correlation values including a maximum correlation value according to the test sequence and the digital echo signal; and a decision circuit to determine whether a relation between the maximum correlation value and at least one threshold satisfies a predetermined condition and thereby generate a decision result, wherein the frequency of the transmission clock is lower than a predetermined frequency which confines the variation of the maximum correlation value to a predetermined range provided that the temperature variation of the transmission cable is within a temperature variation range.