Beamforming Algorithms For Conical Conformal Array Based On Iterative Convex Optimization

Conformal array antennas can fit into any platform surface,reduce radar scattering cross-sectional area,and have the coverage capacity for large airspaces.As a typical conformal array,the broad applicability of conical conformal arrays in electronic systems,including but not limited to missile-borne,airborne,and spaceborne applications,indicates significant potential for future use..However,facing complex and strong geographical environments and electromagnetic countermeasure environments,the transmitting and receiving beams of the conformal array usually need to have good low sidelobe requirements to meet the anti-clutter and anti-jamming requirements.This thesis mainly conducts the configuration design and deployment analysis of the conical conformal array,and conducts research on the method of low side lobe beamforming of the conical conformal array based on the maximum power constraint at the transmission end,the gain and anti-interference performance of the receiving array,and using iterative convex optimization.The main areas of research and notable innovations are as follows:1.Establish a geometric model of the conical array and study the rectangular grid deployment method of the conical conformal array.By dividing the fixed orientation subarray of the conical array,the conformal array expands the spatial coverage area while the conical array determines the beam scanning range.2.Aiming at the problem of the total power loss of the transmitted signal of the truncated conical conformal array,a method of transmitting beamforming of the truncated conical conformal array based on the phase-only constraint(PO-ICO)is proposed.According to the characteristic of constant weighting coefficient of the array element amplitude,to achieve maximum transmit signal power beamforming in scenarios with low sidelobe across the entire domain and zero setting in specific areas,an iterative convex optimization method is used to solve a non-convex optimization problem.This approach also effectively reduces peak sidelobe and null level by imposing phase-only constraints.3.Aiming at the problem of insufficient array gain at the receiving end of the conical conformal array,the receiving beamforming algorithm based on the array gain(FTECA)is studied,and the non-convex optimization problem based on the lower bound of the array gain is solved iteratively,which reduces the global peak sidelobe level,and also has a high array gain.4.Aiming at the problem of disturbance in the conical conformal array,the array sensitivity function is introduced,and the algorithm based on the constant array sensitivity(CS-ICO)is studied to form the receiving beam of the conformal array.Under the constraint of the array sensitivity,through peak sidelobe level is minimized,and the iterative convex optimization method is used to solve the problem,which effectively realizes the beam pattern characteristics of zeroing in the specified area and low sidelobe in the whole area,and enhances the anti-interference performance of the array.The feasibility and effectiveness of the algorithms are verified by simulation,and it can realize low-sidelobe beamforming at the receiving end of the conical conformal array,which is used to solve the problem of strong interference in complex environments and electromagnetic countermeasure environments,and meets the requirements of anti-clutter and anti-interference.