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(2+1)维变系数CDGKS方程的混合波解
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作者 谭晓漫 扎其劳 《内蒙古农业大学学报(自然科学版)》 CAS 2022年第6期115-120,共6页
基于Hirota双线性方法,建立了(2+1)维变系数Caudrey-Dodd-Gibbon-Kotera-Sawada(CDGKS)方程的5-孤子解。应用长波极限和参数取复共轭关系,由5-孤子解得到5种混合波解,他们是由孤子、呼吸子、lump组成的。另外,通过绘制所得解的三维图形... 基于Hirota双线性方法,建立了(2+1)维变系数Caudrey-Dodd-Gibbon-Kotera-Sawada(CDGKS)方程的5-孤子解。应用长波极限和参数取复共轭关系,由5-孤子解得到5种混合波解,他们是由孤子、呼吸子、lump组成的。另外,通过绘制所得解的三维图形展示了混合波的作用情形。 展开更多
关键词 混合波解 HIROTA双线性方法 极限方法 (2+1)维变系数CDGKS方程
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Geometric Mean Decomposition Based Hybrid Precoding for Millimeter-Wave Massive MIMO 被引量:18
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作者 Tian Xie Linglong Dai +2 位作者 Xinyu Gao Muhammad Zeeshan Shakir Jianjun Li 《China Communications》 SCIE CSCD 2018年第5期229-238,共10页
Hybrid precoding can reduce the number of required radio frequency(RF)chains in millimeter-Wave(mmWave) massive MIMO systems. However, existing hybrid precoding based on singular value decomposition(SVD) requires the ... Hybrid precoding can reduce the number of required radio frequency(RF)chains in millimeter-Wave(mmWave) massive MIMO systems. However, existing hybrid precoding based on singular value decomposition(SVD) requires the complicated bit allocation to match the different signal-to-noise-ratios(SNRs) of different sub-channels. In this paper,we propose a geometric mean decomposition(GMD)-based hybrid precoding to avoid the complicated bit allocation. Specifically,we seek a pair of analog and digital precoders sufficiently close to the unconstrained fully digital GMD precoder. To achieve this, we fix the analog precoder to design the digital precoder, and vice versa. The analog precoder is designed based on the orthogonal matching pursuit(OMP) algorithm, while GMD is used to obtain the digital precoder. Simulations show that the proposed GMD-based hybrid precoding achieves better performance than the conventional SVD-based hybrid precoding with only a slight increase in complexity. 展开更多
关键词 Millimeter-wave Massive MIMO hybrid precoding geometric mean decomposition bit allocation
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