Research On Beamforming Design Algorithms Under Multiple Constraints Of Array Parameters

Beamforming is a signal processing technology that obtains the desired array beam-pattern by designing the geometric layout and weighting coefficients of the sensor element.It has been widely used in radar,communication,sonar,radio astronomy and other fields.Especially for the radar/communication system in the context of electronic countermea-sures(ECM),it plays an important role in improving the system performance,such as the time-division/simultaneous processing multi-task capabilities,anti-jamming performance,low interception capability,etc.The limitations of existing beamforming network,such as single function / frequency band,limited bit number of weighted coefficient and too narrow linear dynamic range of transmitting link,are the important reasons why the existing system is difficult to meet the increasingly complex application requirements of ECM in the future.In this dissertation,a series of beamforming algorithms with multiple array parameters constraints are studied.The main contents and contributions are:(1)An analog beamforming design algorithm based on geometrically quantized Al-ternating Direction Multiplier Method(ADMM)is proposed.By maximizing the array gain under multiple constraints of weighting coefficient quantization and power beampat-tern,the beampattern sidelobe and mainlobe performance deterioration caused by non-ideal factors,such as the limited bits number of the weighting coefficient and the non-isotropy of array elements,is effectively suppressed.(2)A wideband transmitting beamforming design algorithm based on Alternating Iterative Optimization accelerated by ADMM(AIO-ADMM)is proposed.By minimizing the weighted sum of beampattern matching error and spatial response variation under the constraints of generalized dynamic range ratio,the frequency invariant beampattern is efficiently obtained in the transmitting link with limited linear dynamic range.(3)A dual-function beamforming network based on array element configuration is proposed,and on this basis,a dual-function beamforming design algorithm for radar and communication based on discrete particle swarm optimization is proposed.By minimizing the peak sidelobe level(PSL)or interference signal ratio under the multiple constraints of the subarray aperture and response,the effective tradeoff of dual-function beampattern performance is realized by utilizing the functional controllability of radiation element.(4)A dual-band array architecture based on subarray structure is proposed,and on this basis,by minimizing the weighting sum of the PSL and the number of subarrays under multiple constraints such as the number of subarrays,dual-band array layout,and power beampattern,and proposing a beamforming design algorithm based on ADMM hybrid approximate optimization,the high-performance beampattern is obtained under limited subarray resources,and the optimal configuration of sub-array resources is achieved.