parameterized resampling time-frequency transform

Codes of the parameterized resampling time-frequency transform (PRTF transform).

Many signals contain multiple components with time-varying instantaneous frequencies (IFs) which share a common trajectory trend, such as machinery vibrationsignals, speech signals, and biomedical signals. To analyze this kind of signals and achieve high time-frequency resolution, we propose a method called parameterized resampling time-frequency transform (PRTF transform) in this paper. Adapting the idea of the general parameterized time-frequency transform (GPTF transform), we use a parameterized kernel to represent a resampling function and further construct time-varying and time-invariant resampling operators to eliminate IF variations and relocate IF positions. These operators can improve the energy concentration of multiple components simultaneously in the time-frequency representation (TFR). Typical kernel functions containing the polynomial function and Fourier series are provided for different kinds of signals.

The MATLAB codes permit to reproduce some results in the paper: T. Li, Q. He and Z. Peng, "Parameterized Resampling Time-Frequency Transform," in IEEE Transactions on Signal Processing, 2022, doi: 10.1109/TSP.2022.3220027. Some of the scripts and examples are adopted from the paper:

T. Li, Z. Peng, H. Xu and Q. He, "Parameterized domain mapping for order tracking of rotating machinery," in IEEE Transactions on Industrial Electronics, 2022, doi: 10.1109/TIE.2022.3201311

Copyright (c) belongs to the authors of the papers. An acknowledgment for the codes and the citations about the paper above must be included in the publications as long as the codes are used.

See our works and full texts on

https://www.researchgate.net/profile/Tianqi-Li-9

https://www.researchgate.net/profile/Qingbo-He