论文标题
基于自适应速率转换的直接分离方法的分析,用于具有跨界频率的信号
Analysis of a Direct Separation Method Based on Adaptive Chirplet Transform for Signals with Crossover Instantaneous Frequencies
论文作者
论文摘要
在许多应用程序中,有必要检索多组分信号的子信号构建块,该构建块通常在现实世界和现实生活应用中是非平稳的。为此,已提出并开发了经验模式分解(EMD),同步Queeezing变换(SST),信号分离操作(SSO)和迭代过滤分解(IFD)。但是,这些计算方法受到多组分信号的亚信号频率曲线的良好分离的规定限制。另一方面,最近在我们最近的工作中,最近提出了从二维“时频”平面扩展到SSO到三维“时频频率率”空间的SSO的基于Chirplet转换的信号分离方案(CT3S),该空间最近提出了频率分离规范,从而允许允许“频率交叉”。本文的主要目的是对CT3S方法的瞬时频率估计和组件恢复进行深入的误差分析研究。
In many applications, it is necessary to retrieve the sub-signal building blocks of a multi-component signal, which is usually non-stationary in real-world and real-life applications. Empirical mode decomposition (EMD), synchrosqueezing transform (SST), signal separation operation (SSO), and iterative filtering decomposition (IFD) have been proposed and developed for this purpose. However, these computational methods are restricted by the specification of well-separation of the sub-signal frequency curves for multi-component signals. On the other hand, the chirplet transform-based signal separation scheme (CT3S) that extends SSO from the two-dimensional "time-frequency" plane to the three-dimensional "time-frequency-chirp rate" space was recently proposed in our recent work to remove the frequency-separation specification, and thereby allowing "frequency crossing". The main objective of this present paper is to carry out an in-depth error analysis study of instantaneous frequency estimation and component recovery for the CT3S method.