Abstract
The Doppler shift is an angle dependent function. Based on the relationship between frequency shift and angle, direction-finding method can be used directly to obtain the ranging solution based on frequency shift measurement. The Doppler ranging solution obtained by this method has excellent calculation accuracy and can keep the same accuracy as the ranging solution based on frequency shift difference processing.
Highlights
Existing research results show that the location can be completed based on only one detection by directly using the Doppler change rate[1,2,3]
One of the results of the author's early research on the passive ranging method based on Doppler rate of change is that, based on the mathematical definition, the Doppler rate of change is transformed into the ratio of the Doppler frequency difference to the time difference by using the difference method, and at the same time, by using the velocity vector relationship, an airborne Doppler passive ranging method based on two consecutive frequency shift measurement is derived[4,5]
The results show that, assuming that the detection platform moves the distance d uniformly along a straight line, if the average frequency shift at two positions is adopted, the ranging formula at position 1 has the minimum relative calculation error, that is, ( ) r1
Summary
Existing research results show that the location can be completed based on only one detection by directly using the Doppler change rate[1,2,3]. The advantages are that direct measurement of Doppler rate of change is not required. Based on the relationship between frequency shift and angle, this paper directly uses direction finding method based on trigonometric function to give the ranging solution based on frequency shift measurement. In order to compare the errors more clearly and make it easier for readers to read, the author briefly describes the existing Doppler ranging solutions based on difference processing after the derivation of Doppler ranging solutions by means of direction finding method. The analysis results show that the Doppler ranging solution given by direct direction finding method has excellent calculation accuracy and can keep the same accuracy as the ranging solution based on frequency shift difference processing
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