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High precision measurement method for dynamic transient signal based on compressed sensing and spline polynomial
Fujing Xu1, Changying Chen2, Linghua Hu2
1Department of Automation, Shanxi University, Taiyuan 030013, China.
The Review of Scientific Instruments
|January 30, 2021
Summary
This study introduces a novel random sampling method combining compressed sensing (CS) with spline polynomial interpolation (SPI) for dynamic transient signals. This approach significantly reduces sampling requirements for analog-to-digital converters (ADCs) and testing systems, improving measurement efficiency.
Area of Science:
- Signal Processing
- Measurement Science
- Data Acquisition Systems
Background:
- High sampling frequencies in dynamic transient signal measurement pose significant challenges for analog-to-digital converters (ADCs) and testing systems.
- Existing uniform sampling methods may not be optimal for efficiency and resource utilization.
- Dynamic transient signals possess unique characteristics that can be leveraged for improved measurement techniques.
Purpose of the Study:
- To propose a high-precision measurement method for dynamic transient signals.
- To reduce the stringent requirements on ADCs and testing systems for transient signal measurements.
- To enhance the observation efficiency of existing uniform sampling techniques.
Main Methods:
- Analysis of the characteristics of dynamic transient signals.
- Development of a random sampling method integrating compressed sensing (CS) and spline polynomial interpolation (SPI).
- Establishment of a Machete hammer test platform for experimental validation.
Main Results:
- The combined CS and SPI method effectively reduces the number of sampling and observation points.
- Simulation and experimental results demonstrate the method's effectiveness in transient signal measurement.
- Data reconstruction error using the proposed method was found to be not greater than 5.1%.
Conclusions:
- The proposed random sampling method combining CS and SPI offers a high-precision solution for dynamic transient signal measurement.
- This technique alleviates the demands on ADCs and testing equipment.
- The method improves overall observation efficiency compared to traditional uniform sampling.
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