In this paper, the problem of analysis and design of large-scale multiple beamforming system is considered by system theory approach. We consider the response of system parameters by set of objective functions in a critical condition, which is unable to access measurement data or the data size is large. The reduced-order model is built and the robust solution is found for a multiple beamforming system. The Monte Carlo simulation results show that the proposed multiple beamforming system yields significant performance against over existing methods. | Vietnam Journal of Science and Technology 55 (5) (2017) 637-649 DOI: SYSTEM THEORY BASED MULTIPLE BEAMFORMING Nguyen Huu Trung*, Nguyen Thuy Anh, Nguyen Minh Duc, Doan Thanh Binh, Le Trung Tan Hanoi Uiversity of Science and Technology, 1 Dai Co Viet, Hanoi * Email: Received: 11 January 2017; Accepted for publication: 5 September 2017 ABSTRACT In this paper, the problem of analysis and design of large-scale multiple beamforming system is considered by system theory approach. We consider the response of system parameters by set of objective functions in a critical condition, which is unable to access measurement data or the data size is large. The reduced-order model is built and the robust solution is found for a multiple beamforming system. The Monte Carlo simulation results show that the proposed multiple beamforming system yields significant performance against over existing methods. Keywords: LS-MIMO-MC-CDMA, 5G, Multiple-beamforming, Min-max. 1. INTRODUCTION Large-scale multiple beamforming systems and massive multiple input multiple output (MIMO) systems play important role in the problem of transmitted signal optimization, increasing efficiency while transmitting, optimal restoring signal at the receiver, the ability to transmit high speed data in multi-path environments (for example, in indoor environments) for telecommunications applications [1]; reducing interference in the global positioning applications [2]; target localization in sonar and radar [3]; optimizing the transmission of terrestrial Digital Video Broadcasting (multicast beamforming) [4]; etc. The beamforming system consists of an array processor and array of sensors. It is basically a spatial filter which is used to guide the optimal radiation or absorb energy in the direction of arrival of the signal. The criteria used to optimize beamforming systems include maximal output signal-to-interference-plus-noise ratio (MSINR), minimal .
