TOOLBOX of ASSO_v1


1. This is a collection of Matlab routines developed for adaptive signal separation operation (ASSO) for effective and accurate separation of a single-channel blind source multi-component signals described in [1].


2. List of functions included:


MAIN ROUTINES:

MAIN - This is an example for the LFM signal

RENYI_ENTROPY - Find the time-varying sigma by Renyi entropy

SSO_matrix_calc - Calculate the the SSO matrix

SSO_recov - Computes the frequency curves and the recoverd functions by SSO and ASSO (with the true chirp rate and estimated chirp rate, respectively).

SSO_recov1 - Computes the frequency curves and the recoverd functions by ASSO.


3. REFERENCES
[1] Lin Li, Charles K. Chui and Qingtang Jiang, "Direct Signal Separation via Extraction of Local Frequencies With Adaptive Time-Varying Parameters," IEEE Transactions on Signal Processing, vol. 70, pp. 2321-2333, 2022.
[2] Charles K. Chui, Qingtang Jiang, Lin Li, Jian Lu, "Analysis of an adaptive short-time Fourier transform-based multicomponent signal separation method derived from linear chirp local approximation," Journal of Computational and Applied Mathematics, Volume 396, 2021, 113607.


4. Copy ASSO_v1 is copyright reserved. For further information, please contact Lin Li at  lilin@xidian.edu.cn or Qingtang Jiang at jiangq@umsl.edu.

October 2023 


5. This toolbox can not be used for commercialization without the authorization of its author(s). If you use this toolbox for research, please must cite the following papers:

[1] Lin Li, Charles K. Chui and Qingtang Jiang, "Direct Signal Separation via Extraction of Local Frequencies With Adaptive Time-Varying Parameters," in IEEE Transactions on Signal Processing, vol. 70, pp. 2321-2333, 2022.
[2] Lin Li, Haiyan Cai, and Qingtang Jiang, "Adaptive synchrosqueezing transform with a time-varying parameter for non-stationary signal separation," Applied and Computational Harmonic Analysis, 49(3), (2020): 1075–1106.
[3] Lin Li, Haiyan Cai, Hongxia Han, Qingtang Jiang, and Hongbing Ji, "Adaptive short-time Fourier transform and synchrosqueezing transform for non-stationary signal separation,"Signal Processing, 166 (2020), 107231.
[4] Charles K. Chui, Qingtang Jiang, Lin Li, Jian Lu, "Analysis of an adaptive short-time Fourier transform-based multicomponent signal separation method derived from linear chirp local approximation," Journal of Computational and Applied Mathematics, Volume 396, 2021, 113607.