36 citations · 88 across the 13 of their papers we have counts for
14 papers
Fisher Information and the Minimum Mean-Square Error for Locating Closely Spaced Point Sources
Chuling Wen, Jian Lu, Qingtang Jiang +1
We determine the optimal average error of locating closely spaced sources from noisy superpositions of a known smooth response with unknown complex coefficients. Relative phases co…
Synchro-Transient-Extracting Transform for the Analysis of Signals with Both Harmonic and Impulsive Components
Yunlong Ma, Gang Yu, Tianran Lin +1
Time-frequency analysis (TFA) techniques play an important role in the field of machine fault diagnosis attributing to their superiority in dealing with nonstationary signals. Sync…
Analysis of a Direct Separation Method Based on Adaptive Chirplet Transform for Signals with Crossover Instantaneous Frequencies
Charles K. Chui, Qingtang Jiang, Lin Li +1
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 applicatio…
Time-Scale-Chirp_rate Operator for Recovery of Non-stationary Signal Components with Crossover Instantaneous Frequency Curves
Charles K. Chui, Qingtang Jiang, Lin Li +1
The objective of this paper is to introduce an innovative approach for the recovery of non-stationary signal components with possibly cross-over instantaneous frequency (IF) curves…
Analysis of an Adaptive Short-Time Fourier Transform-Based Multicomponent Signal Separation Method Derived from Linear Chirp Local Approximation
Charles K. Chui, Qingtang Jiang, Lin Li +1
The synchrosqueezing transform (SST) has been developed as a powerful EMD-like tool for instantaneous frequency (IF) estimation and component separation of non-stationary multicomp…
Signal Separation Based on Adaptive Continuous Wavelet Transform and Analysis
Charles K. Chui, Qingtang Jiang, Lin Li +1
Recently the synchrosqueezed transform (SST) was developed as an empirical mode decomposition (EMD)-like tool to enhance the time-frequency resolution and energy concentration of a…
Direct Signal Separation Via Extraction of Local Frequencies with Adaptive Time-Varying Parameters
Lin Li, Charles K. Chui, Qingtang Jiang
Real-world phenomena that can be formulated as signals are often affected by a number of factors and appear as multi-component modes. To understand and process such phenomena, "div…
A Chirplet Transform-based Mode Retrieval Method for Multicomponent Signals with Crossover Instantaneous Frequencies
Lin Li, Ningning Han, Qingtang Jiang +1
In nature and engineering world, the acquired signals are usually affected by multiple complicated factors and appear as multicomponent nonstationary modes. In such and many other…
Analysis of Adaptive Synchrosqueezing Transform with a Time-varying Parameter
Jian Lu, Qingtang Jiang, Lin Li
The synchrosqueezing transform (SST) was developed recently to separate the components of non-stationary multicomponent signals. The continuous wavelet transform-based SST (WSST) r…
Two-Sample Test Based on Classification Probability
Haiyan Cai, Bryan Goggin, Qingtang Jiang
Robust classification algorithms have been developed in recent years with great success. We take advantage of this development and recast the classical two-sample test problem in t…
Analysis of Adaptive Short-time Fourier Transform-based Synchrosqueezing Transform
Haiyan Cai, Qingtang Jiang, Lin Li +1
Recently the study of modeling a non-stationary signal as a superposition of amplitude and frequency-modulated Fourier-like oscillatory modes has been a very active research area.…
Adaptive Synchrosqueezing Transform with a Time-Varying Parameter for Non-stationary Signal Separation
Lin Li, Haiyan Cai, Qingtang Jiang
The continuous wavelet transform (CWT) is a linear time-frequency representation and a powerful tool for analyzing non-stationary signals. The synchrosqueezing transform (SST) is a…
Adaptive Short-time Fourier Transform and Synchrosqueezing Transform for Non-stationary Signal Separation
Lin Li, Haiyan Cai, Hongxia Han +2
The synchrosqueezing transform, a kind of reassignment method, aims to sharpen the time-frequency representation and to separate the components of a multicomponent non-stationary s…
Symmetric Canonical Quincunx Tight Framelets with High Vanishing Moments and Smoothness
Bin Han, Qingtang Jiang, Zuowei Shen +1
We propose an approach to construct a family of two-dimensional compactly supported real-valued symmetric quincunx tight framelets in with arbitrari…