An MMSE Beamforming Algorithm Based Hybrid Carrier System over Doubly Selective Channels

  • Bo Yang
  • Zhiqun Song
  • Yong Li
  • Xuejun Sha
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 463)


In this paper, we proposed an MMSE Beamforming algorithm based hybrid carrier (HC) system over doubly selective channels. HC system based on 4-weighted fractional fourier transform (4-WFRFT) has been proved to be a better choice over doubly selective channels. By exploiting 4-WFRFT, the modulation mode of the system can be switched between single carrier (SC) system and orthogonal frequency division multiplexing (OFDM) system and can be matched with the characteristics of doubly selective channels. This paper presents an adaptive MMSE beamforming algorithm for HC system with a linear array antenna. The optimal weight vector of the algorithm is derived by pilot signals. In case of knowing the exact direction of arrival (DOA), HC system with MMSE beamforming algorithm can achieve a great improvement of BER performance, in comparison to that without MMSE beamforming algorithm. Moreover, HC system, under proper modulation order, performs better than SC and OFDM system with MMSE beamforming algorithm over the typically doubly selective channels.


WFRFT HC system MMSE Beamforming DOA 



This work is supported by Project funded by China Postdoctoral Science Foundation under Grant No. 2016M601286, the fund of Science and Technology on Communication Networks Laboratory under Grant number EX156410046 and the 973 Program under Grant No. 2013CB329003. Moreover, this work is also supported by the fund of National Key Laboratory of Science and Technology on Communications.


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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.The 54th Research Institute of China Electronics Technology Group CorporationShijiazhuangChina
  2. 2.Science and Technology on Communication Networks LaboratoryShijiazhuangChina
  3. 3.Communication Research CenterHarbin Institute of TechnologyHarbinChina

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