# A Doppler Location Method Based on Virtual Path Difference

## Authors

• Yu Tao

China Academy of Management Science, Beijing, 101100, China

## Abstract

This paper presents a Doppler passive location method for moving targets with fixed single station using the Doppler frequency shift and time difference information. First, based on the relationship between frequency shift and path difference, the virtual path difference is calculated from the measured value of Doppler frequency shift by means of mean value correction. Then, under the assumption that the target is moving at an average speed along a straight line, two coaxial virtual double base arrays are constructed by using the moving track of the moving target based on the method of fixed period time difference. On this basis, the moving distance of the moving target can be calculated by using the ratio relationship between the frequency difference and the radial distance between the two adjacent detection points in the middle of the array, and the linear solution of the two double base path difference positioning equations. At this point, the relative coordinate position of the moving target can be obtained by directly using the linear solution of the double base path difference positioning equation again.

## Keywords:

Fixed single station; Passive location; Doppler frequency; Doppler frequency change rate; Frequency shift-path difference equation; Virtual path difference

## References

[1] Zhou, Ch., Ma, C.Sh., Ying, T., et al., 2022. Source localization using Doppler frequency shift with erroneous carrier frequency. Journal of University of Electronic Science and Technology of China. 51(4), 529-534. DOI: https://doi.org/10.12178/1001-0548.2022050

[2] Tian, M.H., Ma, M., Zhang, W.Y., 2018. Target localization based on Doppler frequency and range sum. Journal of Terahertz Science and Electronic Information Technology. 16(6), 984-988. DOI: https://doi.org/10.11805/TKYDA201806.0984

[3] Wang, D., Yin, J.X., et al., 2017. Direct iocalization method for constant modulus source based on Doppler frequency shifts. Acta Aeronautica ET Astronautica Sinica. 38(9), 284-297. DOI: https://doi.org/10.7527/S1000-6893.2017.321084

[4] Tao, Y., 2011. Airborne Doppler direct ranging method based on angle change rate. Advances in Aeronautical Science and Engineering. 2(3), 335-338. DOI: https://doi.org/10.3969/j.issn.1674-8190. 2011.03.018

[5] Tao, Y., 2012. A moving single station Doppler passive location method. Guidance & Fuze. 33(1), 16-18,32. DOI: https://doi.org/10.3969/j.issn.1671-0576. 2012.01.004

[6] Zhou, Zh., Wang, G.Ch., 2008. Passive location and tracking of maneuvering targets by airborne single station. Electronics Optics & Control. 15(3), 60-63. DOI: https://doi.org/10.3969/j.issn.1671-637X. 2008.03.016

[7] Liu, C.F., 2011. Wu Yuan Ding Wei Yu Gen Zong (Chinese) [Passive Location and Tracking]. Xidian University Press: Xi’an.

[8] Xiang, F.H., Wang, J.G., 2021. Observability and simulation analysis of fixed single observer passive location. Modern Defense Technology. 49(04), 72-78.

[9] Zhan, R.H., Wang, L., Wan, J.W., 2020. Observable conditions for passive location and tracking of maneuvering targets based on azimuth and Doppler. Journal of National University of Defense Technology. 29(1), 54-58.

[10] Deng, X.P., 2007. Comments on observability of single observer passive location. Strategic Study of CAE. 11, 54-62.

[11] Tao, Y., 2020. An airborne passive positioning method based on angle and frequency difference measurement. Proceedings of the 2020 4th International Conference on Electronic Information Technology and Computer Engineering (EITCE 2020); 2020 Nov. p. 296-301. DOI: https://doi.org/10.1145/3443467.3443771

[12] Tao, Y., 2017. Wu Yuan Tan Ce Ding Wei Ji Shu (Chinese) [Technology of passive detection location]. National Defense Industry Press: Beijing.

[13] Tao, Y., 2010. Expression for Doppler shift in two-dimensional plane. The 2010 International Conference on Information, Electronic and Computer Science. Scientific Research Publishing: USA. p. 1-4.