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Real and complex Doppler effects in lossy media

机译:有损媒体中的真实和复杂多普勒效应

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摘要

The theory of the Doppler effect in the presence of lossy media and moving scatterers is investigated. Essentially two kinds of phenomena emerge, which are not distinguishable in the conventional case of lossless media. When the scatterers move uniformly, or the equation of motion involves a slowly varying velocity, it is shown that propagation in lossy media involves complex Doppler effects. The complications introduced by the received complex frequency signal are discussed. It is shown that spectrum broadening occurs, and that, in certain cases, by using judiciously chosen temporal filters, the spectral degradation of the received signal can be counteracted. The second class of phenomena is associated with periodic and harmonic motion, when the scatterer is vibrating around a fixed location. In this case the incident wave is frequency modulated by the moving scatterer, giving rise to sidebands of real frequencies.
机译:研究了有损耗介质和移动散射体存在时的多普勒效应理论。本质上会出现两种现象,这在无损媒体的常规情况下是无法区分的。当散射体均匀移动或运动方程涉及缓慢变化的速度时,表明在有损介质中的传播涉及复杂的多普勒效应。讨论了接收到的复频信号带来的复杂性。结果表明,频谱变宽,并且在某些情况下,通过使用明智选择的时间滤波器,可以抵消接收信号的频谱衰减。当散射体围绕固定位置振动时,第二类现象与周期性运动和谐波运动有关。在这种情况下,入射波由移动散射体进行频率调制,从而产生实际频率的边带。

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