论文标题
非组织信号的分解和时频表示中的新理论见解：IMFOMPON算法
New theoretical insights in the decomposition and time-frequency representation of nonstationary signals: the IMFogram algorithm
论文作者
论文摘要
信号的时频内容的分析是信号处理中的经典问题，在现实生活中有大量应用。在过去的几十年中，已经开发出许多不同的方法，这些方法为每个信号提供了替代的时频表示，每个信号都具有其优势和局限性。在这项工作中，遵循非线性方法将信号分解为固有模式函数（IMF）的成功，我们首先对所谓的迭代迭代过滤分解算法提供了更多的理论见解，证明了派生分解的能量保护结果。此外，我们基于信号的IMF分解提出了一种新的时频表示方法，该方法称为IMFOGRAM。我们证明了有关此方法的理论结果，包括其收敛到某些类别信号的频谱图表示，我们提供了一些应用程序的示例，将结果与文献中一些最广为人知的方法进行了比较。
The analysis of the time-frequency content of a signal is a classical problem in signal processing, with a broad number of applications in real life. Many different approaches have been developed over the decades, which provide alternative time-frequency representations of a signal each with its advantages and limitations. In this work, following the success of nonlinear methods for the decomposition of signals into intrinsic mode functions (IMFs), we first provide more theoretical insights into the so-called Iterative Filtering decomposition algorithm, proving an energy conservation result for the derived decompositions. Furthermore, we present a new time-frequency representation method based on the IMF decomposition of a signal, which is called IMFogram. We prove theoretical results regarding this method, including its convergence to the spectrogram representation for a certain class of signals, and we present a few examples of applications, comparing results with some of the most well know approaches available in the literature.
