On instantaneous amplitude and phase of signals
On instantaneous amplitude and phase of signals
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DOI：
10.1109/78.558469
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发表时间：
1997-03-01
影响因子：
5.4
通讯作者：
Picinbono, B
中科院分区：
文献类型：
--
作者：
Picinbono, B
在信号处理的许多问题中，使用信号的瞬时幅度或相位的概念是很重要的。在具有幅度或频率调制的通信系统中尤其如此。这些概念往往是经验性的。然而，众所周知，用于此目的的正确方法是使用解析信号的概念。从这一点出发，我们展示了一些矛盾的例子，出现在使用其他定义的瞬时振幅或频率，通常承认。这引入了表征纯调幅或纯调相信号的问题。它特别示出，而幅度调制信号的特点是频谱的考虑，这不再是相位调制信号的情况。此外，具有恒定幅度的信号具有非常特殊的性质，详细分析了这些性质。最后讨论了随机信号的一些结果和扩展。
In many questions of signal processing, it is important to use the concepts of instantaneous amplitude or phase of signals. This is especially the case in communication systems with amplitude or frequency modulation. These concepts are often introduced empirically. However, it is well known that the correct approach for this purpose is to use the concept of analytic signal. Starting from this point, we show some examples of contradictions appearing when using other definitions of instantaneous amplitude or frequency that are commonly admitted. This introduces the problem of characterizing pure amplitude-modulated or pure phase-modulated signals. It is especially shown that whereas amplitude modulated signals can be characterized by spectral considerations, this is no longer the case for phase-modulated signals. Furthermore, signals with constant amplitude have very specific properties, which are analyzed in detail. Some consequences and extensions to random signals are finally discussed.