论文标题
非机构信号的时频表示：IMFOGRAM
Time-frequency representation of nonstationary signals: the IMFogram
论文作者
论文摘要
在2010年左右引入了迭代过滤方法，以改善信号处理中结构特征的定义和测量。像许多应用技术一样，他们为数学家提出了巨大的挑战，即在商业和科学用法中的效率和局限性。在本文中，我们在数学抽象中重新铸造的迭代过滤方法更有利于其理解和应用。我们还引入了同时局部频率和振幅的新可视化。通过结合理论和实用的博览会，我们希望刺激努力以更好地理解这些方法。我们的方法承认了Ciprian Foias的影响，他对数学的纯粹，应用和应用充满热情。
Iterative filtering methods were introduced around 2010 to improve definitions and measurements of structural features in signal processing. Like many applied techniques, they present considerable challenges for mathematicians to theorize their effectiveness and limitations in commercial and scientific usages. In this paper we recast iterative filtering methods in a mathematical abstraction more conducive to their understanding and applications. We also introduce a new visualization of simultaneous local frequencies and amplitudes. By combining a theoretical and practical exposition, we hope to stimulate efforts to understand better these methods. Our approach acknowledges the influence of Ciprian Foias, who was passionate about pure, applied, and applications of mathematics.
