论文标题
散射的基于阶段的信号表示
Phase-Based Signal Representations for Scattering
论文作者
论文摘要
散射变换是基于层叠小波变换幅度的非线性信号表示方法。在本文中，我们引入了相位散射，这是一种新型方法，在该方法中我们在散射过程中使用相衍生物。我们首先重新审视与相关的相关概念，用于表示音频信号的时频信息，特别是该阶段的部分导数在时频域中。通过将分析和数值结果放在新的角度上，我们为通过散射变换而将基于阶段的表示的基础扩展到更高阶，从而导致大规模结构的局部信号表示。所有想法都是以一般方式引入的，然后使用STFT应用。
The scattering transform is a non-linear signal representation method based on cascaded wavelet transform magnitudes. In this paper we introduce phase scattering, a novel approach where we use phase derivatives in a scattering procedure. We first revisit phase-related concepts for representing time-frequency information of audio signals, in particular, the partial derivatives of the phase in the time-frequency domain. By putting analytical and numerical results in a new light, we set the basis to extend the phase-based representations to higher orders by means of a scattering transform, which leads to well localized signal representations of large-scale structures. All the ideas are introduced in a general way and then applied using the STFT.
