Jump Plus AM-FM Mode Decomposition (JMD) is a novel method for decomposing a nonstationary signal into amplitude- and frequency-modulated (AM-FM) oscillations and discontinuous (jump) components. Current nonstationary signal decomposition methods are designed to either obtain constituent AM-FM oscillatory modes or the discontinuous and residual components from the data, separately. Yet, many real-world signals of interest simultaneously exhibit both behaviors i.e., jumps and oscillations. In JMD method, we design and solve a variational optimization problem to accomplish this task. The optimization formulation includes a regularization term to minimize the bandwidth of all signal modes for effective oscillation modeling, and a prior for extracting the jump component. JMD addresses the limitations of conventional AM-FM signal decomposition methods in extracting jumps, as well as the limitations of existing jump extraction methods in decomposing multiscale oscillations.
인용 양식
Mojtaba Nazari (2024). Jump Plus AM-FM Mode Decomposition (JMD) (https://www.mathworks.com/matlabcentral/fileexchange/169388-jump-plus-am-fm-mode-decomposition-jmd), MATLAB Central File Exchange. 검색됨 .
Mojtaba Nazari, Anders Rosendal Korshøj and Naveed ur Rehman, ''Jump Plus AM-FM Mode Decomposition,'' IEEE TSP (in press), available on arXiv: https://doi.org/10.48550/arXiv.2407.07800
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