南京大学学报（自然科学版）2025，Vol.61Issue(5)：845-856,12.DOI:10.13232/j.cnki.jnju.2025.05.013
融合汉克尔矩阵重构及奇异值分解的空化信号特征解析
Characteristic analysis of cavitation signals based on Hankel matrix reconstruction and singular value decomposition
摘要
Abstract
High intensity focused ultrasound(HIFU),as a cutting-edge non-invasive treatment technique,has made significant progress in clinical applications,and the cavitation effect is one of the key mechanisms for its therapeutic effect.Accurately distinguishing the characteristic components of stable and inertial cavitation signals generated during HIFU treatment plays a crucial role in precise regulation of HIFT treatment efficacy while ensuring its treatment safety.However,traditional passive cavitation detection(PCD)methods have certain limitations in analyzing the cavitation signals generated during HIFU treatment,making it difficult to accurately extract the relevant complex components in the signals and accurately analyze the states of cavitation activities.Therefore,this study innovatively proposes a singular value decomposition method based on Hankel matrix reconstruction(H-SVD)to achieve more accurate analyses of the cavitation signals obtained during HIFU treatment.This method first reconstructs the one-dimensional time-domain signal received by a single element PCD transducer into a Hankel matrix,and then uses singular value decomposition(SVD)algorithm to extract multi-scale features of the signal,achieving effective separation of HIFU fundamental frequency and harmonic signals,subharmonics/superharmonics,and broadband noise signals.Compared with traditional PCD techniques,the H-SVD method exhibits significant advantages in preserving detailed information of various frequency components of the signal,and can more accurately characterize the dynamic evolution of cavitation characteristics under different acoustic pressures.This method would provide a powerful analytical tool for a deeper understanding of the physical and chemical mechanisms induced by stable and inertial cavitation,and also builds up the technical foundation for real-time monitoring and precise regulation of cavitation effects generated during HIFU therapy.关键词
被动空化监测/高强度聚焦超声/汉克尔矩阵/奇异值分解Key words
passive cavitation detection/high intensity fcoused ultrasound/Hankel matrix/singular value decomposition分类
数理科学引用本文复制引用
罗兰,薛洪惠,姜岭寅,屠娟,章东..融合汉克尔矩阵重构及奇异值分解的空化信号特征解析[J].南京大学学报（自然科学版）,2025,61(5):845-856,12.基金项目
国家自然科学基金(12274220) （12274220）
