Radar And Communication Integration Signal Processing Based On Riemannian Manifold Optimization

For a long time in the past,radar detection and wireless communication have developed independently,but they have a lot in common,such as hardware foundation,signal theory and overall structure,which provides the possibility of integration.In recent years,due to the rapid development of information technology,the integration of radar communication is gradually proposed.The integrated signal can not only realize the functions of communication transmission and radar detection,but also improve the spectrum utilization and energy utilization.In the past,some signals were used to realize the integration of radar and communication,including LFM signal,OFDM signal and so on.LFM signal has excellent pulse compression and is an ideal waveform for radar detection and imaging.OFDM signal can resist multipath fading and improve spectrum utilization.However,high PAPR leads to obvious nonlinear distortion,low power efficiency and poor system stability.At present,there are two kinds of constant envelope methods,one is to modulate the signal phase to make the constant modulus signal carry information,the other is to use mathematical optimization algorithm to process the signal.However,the former introduces inter carrier interference in the process of processing,resulting in greatly reduced performance;For the latter,the traditional mathematical processing method is difficult to achieve the constant modulus constraint,or needs to relax the conditions to achieve the solution,which greatly reduces the performance and computational efficiency of the integrated signal.Therefore,an efficient signal processing scheme which can ensure the performance of integrated signal is of great significance for the better application of radar communication integration.In this paper,based on Riemannian manifold optimization algorithm,the constant envelope design of radar communication integrated signal is carried out,and the integrated signal transmitting and receiving processing under the constant envelope framework is realized.This paper is as follows:The first part introduces the theoretical basis of radar communication integration.It includes the feasibility analysis of the hardware and software in the integrated design,the system scheme of the integrated design based on the theoretical feasibility,and the performance analysis and evaluation criteria of the integrated system under the framework of the scheme.It can be seen that the integrated design of radar and communication brings the advantages of high utilization of spectrum resources,high utilization of energy resources and multiple application scenarios.In the second part,the realization scheme of radar communication integrated constant envelope signal based on Riemannian manifold optimization is introduced,including the principle of constant envelope signal,related performance,outstanding advantages and implementation path.The existing constant envelope implementation schemes are compared and analyzed.This paper focuses on the mathematical theory of Riemannian manifold,the optimization algorithm of Riemannian manifold,the constant envelope modeling and mathematical optimization solution of radar communication integration,and analyzes the performance of the designed constant envelope integrated signal by simulation.In the third part,the receiver of radar communication integrated system is studied and designed.First of all,the processing scheme of the receiver is realized,including received signal demodulation,matched filtering and so on.Secondly,target detection and performance simulation analysis based on GLRT and Kalman algorithm are carried out at the radar receiver.Finally,the transmitted symbol information is recovered at the communication receiving end,and the communication performance of the integrated signal is compared and analyzed.