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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 142482, 9 pages
Research Article

The New Mathematical Model of Motion Compensation for Stepped-Frequency Radar Signal

1Harbin Engineering University, Room 148, Building 21, NO. 145 Natong Street, Nangang District, Harbin, Heilongjiang 150001, China
2Department of Electrical and Computer Engineering, Western New England University, Springfield, MA, USA

Received 24 August 2013; Revised 28 November 2013; Accepted 9 December 2013; Published 8 January 2014

Academic Editor: Su-Qun Cao

Copyright © 2014 Yun Lin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


When a stepped-frequency radar is used to obtain the high-resolution range profile (HRRP) of high-speed target, accurate speed estimation and motion compensation must be considered. Therefore, in this paper, a novel mathematical method is presented for estimating the target speed. Firstly, the pulse Doppler method is used to calculate the initial estimation value. Secondly, based on the initial estimation value, the minimum entropy method is used to calculate the coarse estimation value. Finally, based on the coarse estimation value, the minimum -Norms method is used to calculate the accurate estimation value. The numeric simulation results confirm that this new method is effective and predominant, which has a much higher estimation accuracy in a low SNR and a much larger estimation range of target speed. The final estimation value can be used to well compensate for the influence of target speed on HRRP.