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 communication proposes a gain design method of an
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.
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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MDPI and ACS Style
Saho, K. Optimal Steady-State Range Prediction Filter for Tracking with LFM Waveforms. Appl. Sci. 2018, 8, 17.
Saho K. Optimal Steady-State Range Prediction Filter for Tracking with LFM Waveforms. Applied Sciences. 2018; 8(1):17.
Saho, Kenshi. 2018. "Optimal Steady-State Range Prediction Filter for Tracking with LFM Waveforms." Appl. Sci. 8, no. 1: 17.
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