双变量瞬时频率和带宽
Bivariate Instantaneous Frequency and Bandwidth
摘要：
推导了瞬时频率和瞬时带宽在双变量信号中的一般表达式。这些是唯一定义的，无论信号是表示为一对实值信号，还是表示为一个分析信号和一个反分析信号。一个非平稳但振荡的双变量信号有一个自然的表示为椭圆的性质随时间演变，这种表示提供了一个简单的几何解释的双变量瞬时时刻。双变量带宽被示出由三个术语测量的时变椭圆的不稳定性的程度：振幅调制与固定的偏心率，偏心率调制，和方向调制或进动。应用自由漂流海洋浮标的数据分析和讨论。
英文摘要：
The generalizations of instantaneous frequency and instantaneous bandwidth to a bivariate signal are derived. These are uniquely defined whether the signal is represented as a pair of real-valued signals, or as one analytic and one anti-analytic signal. A nonstationary but oscillatory bivariate signal has a natural representation as an ellipse whose properties evolve in time, and this representation provides a simple geometric interpretation for the bivariate instantaneous moments. The bivariate bandwidth is shown to consist of three terms measuring the degree of instability of the time-varying ellipse: amplitude modulation with fixed eccentricity, eccentricity modulation, and orientation modulation or precession. An application to the analysis of data from a free-drifting oceanographic float is presented and discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
