Single-Point Sampling Optimization for Frequency Response Measurement
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Solution Overview
Problem
Current frequency response measurement methods, particularly the frequency sweep method and adaptive frequency injection method, face challenges in measurement precision, efficiency, and user convenience due to issues with step length selection, data inheritance, and stability.
Innovation Solution
A single-point sampling optimized method that estimates interpolation error using the trapezoidal rule to dynamically add sampling points in the sub-frequency band with maximum interpolation error, ensuring steepest descent of overall interpolation error without requiring specific hardware, and can be embedded into existing frequency response analyzers.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If frequency sweep method with constant step length is used, then measurement process is simple, but measurement precision deteriorates when step length is too large
Solution Approach 1:
The patent applies dynamics by transforming the static constant step length into a dynamic adaptive step length. The step length automatically adjusts based on the local characteristics of the frequency response curve, being larger in flat regions and smaller in steep regions, thereby resolving the contradiction between operational simplicity and measurement precision.
Solution Approach 2:
The patent changes the measurement parameter (step length) dynamically during the measurement process. By monitoring the change rate of frequency response values between adjacent points, the system automatically modifies the step length parameter to maintain both simplicity and precision.
2Measurement precision
If frequency sweep method with small step length is used, then measurement precision is improved, but measurement time is greatly prolonged
Solution Approach 1:
The patent uses dynamic step length adjustment to reduce measurement time while maintaining precision. The step length is large in regions where the frequency response is flat (requiring fewer points for accurate representation) and small only in regions where the curve is steep (requiring more points), thus optimizing the trade-off between precision and time.
Solution Approach 2:
The patent applies local quality by differentiating the step length based on local characteristics of the frequency response curve. Different regions of the frequency spectrum receive different step lengths according to their complexity, with finer sampling in critical regions and coarser sampling in less critical regions, thereby reducing overall measurement time while maintaining local precision.
3Measurement precision
If adaptive frequency injection method is used, then measurement precision is improved, but device complexity increases due to multiple parameters requiring user setting
Solution Approach 1:
The patent applies self-service by enabling the measurement system to automatically determine optimal step lengths without requiring user input of error limits or other complex parameters. The system autonomously analyzes the frequency response characteristics and adjusts measurement parameters accordingly, thereby maintaining high precision while eliminating the complexity of manual parameter configuration.
Solution Approach 2:
The patent uses feedback mechanisms where the measured frequency response data itself guides the adjustment of measurement parameters. The system continuously monitors the frequency response and uses this feedback to dynamically adjust step length, eliminating the need for pre-setting complex parameters while maintaining adaptive optimization.
4Ease of operation
If frequency sweep method is used, then measurement process is straightforward, but data inheritance is poor
Solution Approach 1:
The patent applies preliminary action by performing an initial frequency sweep to obtain preliminary frequency response data. This preliminary information is then used to guide subsequent adaptive measurements, allowing the system to inherit and build upon previously acquired data rather than treating each measurement as independent, thereby improving data inheritance while maintaining operational simplicity.
Data Source
AI summary
The present disclosure discloses a single-point sampling optimized method and system for frequency response measurement. The frequency response measurement based on sinusoidal excitation is regarded as frequency domain sampling of system under test, the interpolation error between piecewise linear interpolation model of existing sampling value and the theoretical model of the system under test is estimated, and a single newly added sampling point is placed in the sub-frequency band with maximum interpolation error, so as to achieve steepest descent of an overall interpolation error. The present disclosure does not rely on specific hardware, is directly embedded into existing frequency response analyzer, has high usability, high precision and high stability, and has good data inheritance.