High precision measurement method for dynamic transient signal based on compressed sensing and spline polynomial interpolation

Abstract

During the measurement of dynamic transient signals, a high sampling frequency brings great challenges to the analog-to-digital converter (ADC) and testing system. To address these issues, a high precision measurement method for dynamic transient signals is first proposed in this paper. The characteristics of dynamic transient signals are analyzed first. On the basis of this, a random sampling method combining compressed sensing (CS) with spline polynomial interpolation (SPI) is put forward. The fusion of the two algorithms can effectively reduce the quantity of sampling and observation points to reduce the requirement of the ADC and testing system for transient signal measurement and to improve the observation efficiency of the existing uniform sampling. Finally, a Machete hammer test platform for dynamic transient signals is established. A series of simulation and experimental results validate that the error of data reconstruction using the random sampling method combining CS with SPI is not greater than 5.1%.