Multi-parameter Joint Estimation For Bistatic Fda-mimo Radar Systems Based On Tensor Completion

The concept of frequency diversity array(FDA)was first proposed by Antonik and Wicks.FDA uses the small frequency difference between array elements to realize the function of automatic beam scanning.FDA forms a range related beam,so the transmitting waveform of FDA radar is range related,and its echo signal contains the range information of the target.A new radar system,namely FDA-MIMO radar,is formed by combining FDA radar with multiple input multiple output(MIMO)technology.The joint estimation of direction of department(DOD),direction of arrival(DOA)and range parameters of bistatic FDA-MIMO radar target becomes the key of target location.With the help of the algebraic structure of tensor,a three-dimensional radar signal model is constructed.Because the received signal data is incomplete,the accuracy of target estimation can be further improved by using tensor completion theory to recover the missing signal data.This paper proposes a joint parameter estimation algorithm for bistatic FDA-MIMO radar system based on tensor completion.Its main research content is as followsFirst of all,due to various reasons such as the temporary defect of the transmitting antenna,the receiving antenna,or the sub-Nyquist temporal sampling,the incompleteness of the received signal data is caused.This paper studies the parameter estimation of the bistatic FDA-MIMO radar based on tensor completion theory.Using a third-order tensor to build the signal model of bistatic FDA-MIMO radar,and a non-convex function is proposed to approximate the tensor rank of three-dimensional received signal.This is a non-convex optimization problem Alternating Direction Method of Multipliers(ADMM)is used to solve the non-convex optimization problem into two sub-optimization problems,so as to recover the missing data of the received signal.Then,parallel factor(PARAFAC)decomposition is used to realize the joint estimation of parameters and improve the estimation accuracySecondly,radar signal propagates in the way of electromagnetic wave in space.The signal contains not only the angle information but also the polarization information.However,when we study the radar parameter estimation,we often neglect the polarization parameter information of signal in space.Therefore,the introduction of polarization sensitive array in FDA-MIMO radar system can obtain spatial angle information and polarization parameter information from signals,thus improving the accuracy of target location estimation.Consequently,on the basis of the traditional bistatic FDA-MIMO radar signal model,the polarimetric linear array bistatic FDA-MIMO radar signal model is established,and joint parameter estimation algorithm based on non-convex tensor completion is applied to the model to realize the parameter estimation in FDA-MIMO radar system.The simulation results show that the estimation performance of DOD,DOA and range can be improved by making full use of polarization parameters,so as to improve the resolution of the target.Finally,due to the limitation of one-dimensional angle estimation,in this paper,the joint parameter estimation algorithm based on tensor completion is applied to the polarimetric square array bistatic FDA-MIMO radar system,constructs the tensor receiving signal model under the radar system,and PARAFAC can be used to obtain DOD,2D-DOA,range and polarization parameter information,so as to realize the multidimensional parameter estimation of the target and improve the positioning accuracy of the target.