The Analytic Signal Representation of Modulated Waveforms

E. Bedrosian
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引用次数: 146

Abstract

This report offers a rather general and mathematically convenient formulation of analog-modulated signals which makes use of the analytic signal concept. Known types of modulation are readily identified as special cases. As a result of examining the various cases which the model embraces, a new type of modulation has been discovered-single sideband frequency modulation (SSB FM)-which can be derived from a conventional phase-modulated signal by an additional amplitude modulation, using the exponential function of the modulating signal's Hilbert transform. The resulting modulated signal will have a one-sided spectrum about the carrier frequency, will be compatible with existing FM receivers, and will cause a decrease in signal bandwidth.
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调制波形的解析信号表示
这个报告提供了一个相当一般和数学上方便的模拟调制信号的公式,它利用了分析信号的概念。已知的调制类型很容易被识别为特殊情况。通过对模型所包含的各种情况的研究,我们发现了一种新的调制类型——单边带调频(SSB FM)——它可以通过使用调制信号的希尔伯特变换的指数函数,通过额外的幅度调制,从传统的相位调制信号中导出。由此产生的调制信号将具有大约载波频率的单侧频谱,将与现有的调频接收器兼容,并将导致信号带宽的减少。
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