南京航空航天大学学报（自然科学版）2026，Vol.58Issue(3)：696-708,13.DOI:10.16356/j.2097-6771.2026.03.022
一种自适应的二次调频小波变换
An Adaptive Quadratic Chirplet Transform Method
摘要
Abstract
Time-frequency analysis becomes a powerful tool for processing nonstationary signals and is widely used in mechanical condition monitoring and system parameter identification under nonstationary operating conditions.However,conventional time-frequency methods can hardly effectively handling nonlinear multicomponent signals with closely spaced frequency components or even crossing frequency trajectories.This work proposes an adaptive quadratic chirplet transform(AQCT)method.The approach computes the quadratic chirplet transform(QCT)of the signal,in which a quadratic frequency modulation parameter is explicitly incorporated.The maximum amplitude signal is then iteratively extracted from the residual QCT,and the QCT contribution of the detected component is removed from the residual representation.Finally,an accurate time-frequency representation of the signal is constructed based on all detected components.Simulation examples and a three-degree-of-freedom spring-damper system model demonstrate that the proposed AQCT method can clearly extract the time-frequency representations of signals with closely spaced frequency components and crossing frequency trajectories,and that it effectively overcomes the limitations of conventional time-frequency transforms in dealing with higher-order frequency variations.关键词
时频分析/非平稳信号/二次调频/模态混叠抑制Key words
time-frequency analysis/non-stationary signals/quadratic chirplet modulation/mode-mixing suppression分类
数理科学引用本文复制引用
陈劲轲,史治宇,彭徐俊..一种自适应的二次调频小波变换[J].南京航空航天大学学报（自然科学版）,2026,58(3):696-708,13.基金项目
国家自然科学基金(12272172). （12272172）
