By M. Schetzen
The booklet starts with a easy dialogue of the Doppler impression and its quite a few purposes, and the way Doppler radar can be utilized for the stabilization and navigation of plane. A quasi-static approximation of the Doppler spectrum is gifted besides illustrations and discussions to aid the reader achieve an intuitive knowing of the approximation and its boundaries. A precis of the mathematical techniques required for improvement of an actual thought is then offered utilizing the case of a slim beam antenna. this is often by way of the advance of the precise conception for the overall case, that's graphically illustrated and in comparison with the quasi-static approximation. normal stipulations for which the quasi-static approximation blunders will be over the top – in particular as utilized to laser Doppler radars and low-flying airplane – are presented.
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Additional info for Airborne Doppler Radar
This approximation is similar to the classical approximation of the spectrum of a frequency-modulated sinusoid. If the sinusoidal frequency is changed very slowly, then a good approximation of the power density spectrum is a quasi-static one. That is, the fraction of the average power in a given frequency interval is proportional to the fraction of time the sinusoidal frequency is in the given interval. Of course, the more rapidly the sinusoidal frequency is changed, the poorer is this approximation and so, for example, it is an unacceptable approximation for the determination of the spectrum of an FM radio transmission.
Because the quasi-static Doppler bandwidth is a measure of the variation of d(cr , ca ) over the region illuminated by the antenna, there should be an QUASI-STATIC APPROXIMATION OF THE DOPPLER SPECTRUM 49 Fig. 9 Normalized quasi-static Doppler bandwidth versus s1. orientation of the antenna pattern ellipse for which the bandwidth is a minimum. This minimum should be at an angle at which the major elliptical axis lies tangent to an isodoppler. An isodoppler is a curve along which the Doppler d(cr , ca ) is a constant.
The Doppler shift is observed to be a very small percentage of the radiated frequency. To measure this Doppler shift requires a measurement error that is only a small fraction of the Doppler shift. Fig. 2 Graph of the percentage Doppler shift vs a for the example. DOPPLER EFFECT 25 Doppler had thought that the relative velocity of the stars to the earth would be so great that it would affect their apparent color and intensity. This was controversial at the time and it was later shown not to be correct.