基于相位核的时频信号分析

Time frequency signal analysis based on phase kernels

提出了一种相位核时频分布，将自主项与交叉项在时频平面上分离，并且保持了高度的时－频分辨率，便于分析信号的时频结构特征；同时这种时频分布又满足一些时频分布性质，有利于进一步的应用．针对离散时间、频率时频分布与连续时间、频率时频分布的不同之处，给出了离散化相位核时频分布的计算方法，讨论了附加其他时频分布特性的相位核时频分布．

A kind of phase kernel time frequency distribution is proposed, which separates auto terms from cross terms in the time frequency plane, preserves a high time frequency resolution, and is adaptable to the analysis of time frequency features of a multi component signal. Moreover, this kind of time frequency distribution satisfies some useful properties so that it can be utilized widely. According to the difference between the discrete time and frequency time freqency distribution and the continuous time and frequency time frequency distribution, a discrete formulation is presented for the phase kernel time frequency distribution. Finally, the phase kernel time frequency distribution satisfying additional properties is discussed.