期刊
IEEE TRANSACTIONS ON SIGNAL PROCESSING
卷 69, 期 -, 页码 960-972出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSP.2021.3051428
关键词
Analytical models; Feature extraction; Oscillators; Space vehicles; Mathematical model; Neurons; Frequency modulation; Oscillatory signal; frequency modulation; non-linear models; FMM model
资金
- Spanish Ministerio de Ciencia e Innovacion
- European Regional Development Fund
- Ministerio de Economia y Competitividad [MTM2015-71 217-R, PID2019-106363RB-I00]
This paper introduces a novel signal decomposition method to address the complexity of parameter adjustment and noise limitations in simulating oscillatory systems. The method demonstrates practical utility in analyzing signals in neuroscience.
Oscillatory systems arise in the different science fields. Complex mathematical formulations with differential equations have been proposed to model the dynamics of these systems. While they have the advantage of having a direct physiological meaning, they are not useful in practice as a result of the parameter adjustment complexity and the presence of noise. In this paper, a novel decomposition approach in AM-FM components, competing with Fourier and other decompositions is presented. Several interesting theoretical properties are derived including the ordinary differential equations describing the signal. Furthermore, the usefulness in real practice is demonstrated to analyse signals associated to neuron synapses and by addressing other questions in neuroscience.
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