Time-Frequency Analysis of Acoustic Backscattering In Tubing Structures: FPGA Implementation and Pareto Solution Optimization

Abstract

<title>Abstract</title> This work presents recent research on the analysis of backscattered acoustic signals in thinner metallic tubing structures. We have devised a time-frequency algorithm tailored for FPGA utilization. We employed a novel method to implement a model for processing acoustic backscattered signals on the DE1 SOC, benefiting from its customizability, high performance, low latency, and energy efficiency. They are well-suited for real-time and computationally intensive applications where traditional computing platforms may fall short. In this paper, we focus on a Pareto solution to address problems involving multiple conflicting objectives, including time-frequency resolution, overlapping, real-time , and power consumption.. The study utilizes the reassigned smoothed pseudo Wigner-Ville analysis method to mitigate cross-term effects and achieve high-resolution spectral results leveraging the digital filtering method that plays a pivotal role in delineating the temporal contributions of individual circumferential waves within the comprehensive temporal signal. Our strategic approach not only contributes to the formation of the acoustic signature for the scrutinized structure but also, through the integration of Pareto solutions, optimally balances time–frequency clarity. The obtained findings suggest that the time–frequency representation and modal identification plane can serve as a viable alternative to the conventional modes theory, especially when dealing with homogeneous structures.