Iterative High-Accuracy Parameter Estimation of Uncooperative OFDM-LFM Radar Signals Based on FrFT and Fractional Autocorrelation Interpolation

To improve the parameter estimation performance of uncooperative Orthogonal Frequency Division Multi- (OFDM) Linear Frequency Modulation (LFM) radar signals, this paper proposes an iterative high-accuracy method, which is based on Fractional Fourier Transform (FrFT) and Fractional Autocorrelation (FA) interpolation. Two iterative estimators for rotation angle and center frequencies are derived from the analytical formulations of the OFDM-LFM signal. Both estimators are designed by measuring the residual terms between the quasi peak and the real peak in the fractional spectrum, which were obtained from the finite sampling data. Successful elimination of spectral leakage caused by multiple components of the OFDM-LFM signal is also proposed by a sequential removal of the strong coefficient in the fractional spectrum through an iterative process. The method flow is given and its superior performance is demonstrated by the simulation results.

[1]  Tang Bin,et al.  A Method for PRI Estimation of Multicomponent LFM Signals from MIMO Radars , 2014, 2014 IEEE 17th International Conference on Computational Science and Engineering.

[2]  Feng He,et al.  General Signal Model for Multiple-Input Multiple-Output GMTI Radar , 2018, Sensors.

[3]  Xuejun Sha,et al.  Digital computation of the weighted-type fractional Fourier transform , 2013, Science China Information Sciences.

[4]  Emanuel Guariglia,et al.  Fractional derivative of the riemann zeta function , 2017 .

[5]  Sergei Silvestrov,et al.  A functional equation for the Riemann zeta fractional derivative , 2017 .

[6]  Yunfei Liu,et al.  Iterative Interpolation for Parameter Estimation of LFM Signal Based on Fractional Fourier Transform , 2013, Circuits Syst. Signal Process..

[7]  Chang-pin Li,et al.  Fractional derivatives in complex planes , 2009 .

[8]  Xiong Wang Fractional Geometric Calculus: Toward A Unified Mathematical Language for Physics and Engineering ? , 2012 .

[9]  X. Wang,et al.  Maximum likelihood parameter estimation of multiple chirp signals by a new Markov chain Monte Carlo approach , 2004, Proceedings of the 2004 IEEE Radar Conference (IEEE Cat. No.04CH37509).

[10]  G. Boudreaux-Bartels,et al.  Fractional autocorrelation and its application to detection and estimation of linear FM signals , 1998, Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.98TH8380).

[11]  Bin Tang,et al.  Parameters estimation and detection of MIMO-LFM signals using MWHT , 2016 .

[12]  Zheng Liu,et al.  Parameter estimation of multi-component chirp signals based on discrete chirp Fourier transform and population Monte Carlo , 2015, Signal Image Video Process..

[13]  Zengping Chen,et al.  Parameter estimation of chirp signal under low SNR , 2014, Science China Information Sciences.

[14]  Zhou Min Digital Computation of Fractional Fourier Transform , 2002 .

[15]  Ahmet Serbes,et al.  On the Estimation of LFM Signal Parameters: Analytical Formulation , 2018, IEEE Transactions on Aerospace and Electronic Systems.

[16]  Jiangtao Xi,et al.  Energy Detection With Random Arrival and Departure of Primary Signals: New Detector and Performance Analysis , 2017, IEEE Transactions on Vehicular Technology.

[17]  Elias Aboutanios,et al.  Fast Iterative Interpolated Beamforming for Accurate Single-Snapshot DOA Estimation , 2017, IEEE Geoscience and Remote Sensing Letters.

[18]  Boualem Boashash,et al.  Comments on "The Cramer-Rao lower bounds for signals with constant amplitude and polynomial phase" , 1998, IEEE Trans. Signal Process..

[19]  P. Laguna,et al.  Signal Processing , 2002, Yearbook of Medical Informatics.

[20]  Lenan Wu,et al.  Adaptive Waveform Design for MIMO Radar-Communication Transceiver , 2018, Sensors.

[21]  Arunprakash Jayaprakash,et al.  Robust Blind Carrier Frequency Offset Estimation Algorithm for OFDM Systems , 2017, Wirel. Pers. Commun..

[22]  Manuel Duarte Ortigueira,et al.  A coherent approach to non-integer order derivatives , 2006, Signal Process..

[23]  Li Jun,et al.  The parameter setting problem of signal OFDM-LFM for MIMO radar , 2008, 2008 International Conference on Communications, Circuits and Systems.