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Open AccessCommunication
Appl. Sci. 2018, 8(1), 17; doi:10.3390/app8010017

Optimal Steady-State Range Prediction Filter for Tracking with LFM Waveforms

Department of Intelligent Systems Design Engineering, Toyama Prefectural University, Imizu, Toyama 939-0398, Japan
Received: 31 October 2017 / Revised: 13 December 2017 / Accepted: 20 December 2017 / Published: 23 December 2017
(This article belongs to the Section Computer Science and Electrical Engineering)
View Full-Text   |   Download PDF [376 KB, uploaded 23 December 2017]   |  


This communication proposes a gain design method of an α - β filter with linear frequency-modulated (LFM) waveforms to achieve optimal range prediction (tracking) of maneuvering targets in steady-state. First, a steady-state root-mean-square (RMS) prediction error, called an RMS-index, is analytically derived for a constant-acceleration target. Next, a design method of the optimal gains that minimizes the derived RMS-index is proposed. Numerical analyses demonstrate the effectiveness of the proposed method, as well as producing a performance improvement over the conventional Kalman filter-based design method. Moreover, the theoretical relationship between range tracking performance and a coefficient for range-Doppler coupling of LFM waveforms is clarified. Numerical simulations using the proposed method demonstrate LFM radar tracking of maneuvering targets and prove the method’s effectiveness. View Full-Text
Keywords: α-β filter; range prediction filter; linear frequency modulated waveform; LFM radar α-β filter; range prediction filter; linear frequency modulated waveform; LFM radar

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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. (CC BY 4.0).

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Saho, K. Optimal Steady-State Range Prediction Filter for Tracking with LFM Waveforms. Appl. Sci. 2018, 8, 17.

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