Title :
Radar Maneuvering Target Motion Estimation Based on Generalized Radon-Fourier Transform
Author :
Xu, Jia ; Xia, Xiang-Gen ; Peng, Shi-Bao ; Yu, Ji ; Peng, Ying-Ning ; Qian, Li-Chang
Author_Institution :
Sch. of Inf. & Electron., Beijing Inst. of Technol., Beijing, China
Abstract :
The slant range of a radar maneuvering target is usually modeled as a multivariate function in terms of its illumination time and multiple motion parameters. This multivariate range function includes the modulations on both the envelope and the phase of an echo of the coherent radar target and provides the foundation for radar target motion estimation. In this paper, the maximum likelihood estimators (MLE) are derived for motion estimation of a maneuvering target based on joint envelope and phase measurement, phase-only measurement and envelope-only measurement in case of high signal-to-noise ratio (SNR), respectively. It is shown that the proposed MLEs are to search the maximums of the outputs of the proposed generalized Radon-Fourier transform (GRFT), generalized Radon transform (GRT) and generalized Fourier transform (GFT), respectively. Furthermore, by approximating the slant range function by a high-order polynomial, the inherent accuracy limitations, i.e., the Cramer-Rao low bounds (CRLB), and some analysis are given for high order motion parameter estimations in different scenarios. Finally, some numerical experimental results are provided to demonstrate the effectiveness of the proposed methods.
Keywords :
Fourier transforms; Radon transforms; maximum likelihood estimation; modulation; motion estimation; phase measurement; polynomials; radar cross-sections; radar tracking; target tracking; CRLB; Cramer Rao low bound; GFT; GRT; MLE; SNR; coherent radar target; echo; envelope only measurement; generalized Fourier transform; generalized Radon transform; maximum likelihood estimation; modulation; motion parameter; multivariate function; phase measurement; polynomial; radar maneuvering target; radar target motion estimation; signal-to-noise ratio; Maximum likelihood estimation; Motion estimation; Motion measurement; Phase measurement; Radar measurements; Transforms; Cramer-Rao low bound (CRLB); generalized Radon-Fourier transform (GRFT); maneuvering target; parameter estimation; polynomial phase signal (PPS); root mean-square error (RMSE);
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2012.2217137