# Enhanced Electromagnetic Ultrasonic Thickness Measurement with Adaptive Denoising and BVAR Spectral Extrapolation

## TL;DR

This paper introduces a new method for measuring thickness using electromagnetic ultrasonic testing that improves accuracy in noisy environments.

## Contribution

The novel integration of Adaptive Denoising with Bayesian Vector Autoregressive spectral extrapolation enhances measurement accuracy.

## Key findings

- The proposed method achieved error rates of 0.267% and 0.240% for 3 mm and 12.5 mm thickness measurements.
- It outperformed the conventional AR method with significantly lower error rates.
- The method maintains stable performance across different thicknesses.

## Abstract

Electromagnetic ultrasonic testing technology, owing to its couplant-free, high-temperature-resistant, and non-contact characteristics, exhibits unique advantages for thickness measurement in harsh industrial environments. However, its accuracy is fundamentally limited by inherent constraints in signal bandwidth and low signal-to-noise ratio. To address these challenges, this work proposes an electromagnetic ultrasonic thickness measurement method that integrates Adaptive Denoising with Bayesian Vector Autoregressive (AD-BVAR) spectral extrapolation. The approach employs Particle Swarm Optimization (PSO) and automatically determines the optimal parameters for Variational Mode Decomposition (VMD), followed by integration with Singular Value Decomposition (SVD) to achieve the adaptive denoising of signals. Subsequently, the BVAR model incorporating prior constraints performs robust extrapolation of the effective frequency band spectrum, ultimately achieving high measurement accuracy signal reconstruction. The experimental results demonstrate that on step blocks with thicknesses of 3 mm and 12.5 mm, the proposed method achieved significantly reduced error rates of 0.267% and 0.240%, respectively. This performance markedly surpasses that of the conventional Autoregressive (AR) method, which yielded errors of 0.767% and 0.560% under identical conditions, while maintaining stable performance across different thicknesses.