连续周期解析信号的相位幅度研究

Researches on Phase and Amplitude of Continuous Circular Analytic Signals

摘要: 在本文中，我们将指出任意连续的周期解信号不仅可以分解为极小相位信号和极大相位信号的乘积，也可以分解为极小相位信号和全相位信号的乘积。在此基础上，我们给出了连续的周期解析信号可以仅由相位信息或者幅度信息重构的条件。更进一步的，我们研究了具有不连通的频带有限的周期解析信号保持幅度不变的条件。

Abstract: We will show in this paper that a continuous circular analytic signal can not only be represented as a product of a minimum phase signal and a maximum phase signal, but also a product of a minimum phase signal and an all phase signal. Based on the decomposition theorem, we will give some conditions under which that a continuous circular analytic signal can be reconstructed from phase or amplitude. Moreover, we will further discuss under what conditions two disconnect circular analytic signals will have the same amplitude.