Channel Equalization and Beamforming for Quaternion-Valued Wireless Communication Systems

@article{Liu2017ChannelEA,
  title={Channel Equalization and Beamforming for Quaternion-Valued Wireless Communication Systems},
  author={W. Liu},
  journal={J. Frankl. Inst.},
  year={2017},
  volume={354},
  pages={8721-8733}
}
  • W. Liu
  • Published 31 May 2015
  • Computer Science, Mathematics
  • J. Frankl. Inst.
Abstract Quaternion-valued wireless communication systems have been studied in the past. Although progress has been made in this promising area, a crucial missing link is lack of effective and efficient quaternion-valued signal processing algorithms for channel equalization and beamforming. With most recent developments in quaternion-valued signal processing, in this work, the author fills the gap to solve the problem by studying two quaternion-valued adaptive algorithms: one is the reference… 
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References

SHOWING 1-10 OF 52 REFERENCES
Antenna array signal processing for quaternion-valued wireless communication systems
  • W. Liu
  • Engineering, Computer Science
    2014 IEEE Benjamin Franklin Symposium on Microwave and Antenna Sub-systems for Radar, Telecommunications, and Biomedical Applications (BenMAS)
  • 2014
TLDR
This work fills the gap to solve the problem of lack of effective and efficient quaternion-valued signal processing algorithms for channel equalisation and beamforming and derives the quaternions-valued Wiener solution for block-based calculation.
Adaptive Beamforming for Vector-Sensor Arrays Based on a Reweighted Zero-Attracting Quaternion-Valued LMS Algorithm
  • M. Jiang, W. Liu, Y. Li
  • Mathematics, Computer Science
    IEEE Transactions on Circuits and Systems II: Express Briefs
  • 2016
TLDR
Simulation results show that the reweighted zero-attracting quaternion-valued least-mean-square algorithm can work effectively for beamforming while enforcing a sparse solution for the weight vector where the corresponding sensors with zero-valued coefficients can be removed from the system.
Quaternion-valued robust adaptive beamformer for electromagnetic vector-sensor arrays with worst-case constraint
TLDR
A robust adaptive beamforming scheme based on two-component electromagnetic (EM) vector-sensor arrays is proposed by extending the well-known worst-case constraint into the quaternion domain, and achieves a better performance than the traditional diagonal loading scheme, in the case of smaller sample sizes and higher SNRs.
Quaternion-MUSIC for vector-sensor array processing
TLDR
A MUSIC-like algorithm is presented, allowing estimation of wave's DOAs and polarization parameters, and it results in a reduction by half of memory requirements for representation of data covariance model and reduces the computational effort, for equivalent performance.
A general quaternion-valued gradient operator and its applications to computational fluid dynamics and adaptive beamforming
  • M. Jiang, W. Liu, Y. Li
  • Computer Science, Mathematics
    2014 19th International Conference on Digital Signal Processing
  • 2014
TLDR
This work gives a general derivation of the quaternion-valued gradient operator and then applies it to two different areas, to combine with the classic computational fluid dynamics (CFD) approach in wind profile prediction and to apply the result to the adaptive beamforming problem for vector sensor arrays.
A zero-attracting quaternion-valued least mean square algorithm for sparse system identification
  • M. Jiang, W. Liu, Y. Li
  • Mathematics, Computer Science
    2014 9th International Symposium on Communication Systems, Networks & Digital Sign (CSNDSP)
  • 2014
TLDR
A zero-attracting quaternion-valued least mean square (LMS) algorithm is derived by considering the l1 norm of the quaternions adaptive weight vector by incorporating the sparsity information of the system into the update process, and a faster convergence speed is achieved.
A Novel Combined Beamformer Based on Hypercomplex Processes
  • J. Tao, Wen-xiu Chang
  • Mathematics, Computer Science
    IEEE Transactions on Aerospace and Electronic Systems
  • 2013
TLDR
Two schemes of combined QSMF and complex minimum variance distortionless response (CMVDR) beamformer for an airborne EM vector-sensors array are proposed and the advantages of the proposed beamformers are that the interference can be canceled by ICA of the Q SMF and the additive noise can be reduced by CMVDR beamformer.
Properties of a general quaternion-valued gradient operator and its applications to signal processing
  • M. Jiang, Y. Li, W. Liu
  • Mathematics, Computer Science
    Frontiers of Information Technology & Electronic Engineering
  • 2016
TLDR
This work defines a restricted version of the HR gradient operator, which comes in two versions, and derives explicit expressions for the derivatives of a class of regular nonlinear quaternion-valued functions, and proves that the restricted HR gradients are consistent with the gradients in the real domain.
On an Orthogonal Space-Time-Polarization Block Code
TLDR
An efficient method for incorporating polarization diversity with space and time diversity is studied, based on extending orthogonal space-time block codes into the quaternion domain and utilizing a description of the dual-polarized signal by means of quaternions.
Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing
TLDR
The concept of quaternionic signal is introduced, and the SVDQ allows to calculate the best rank-α approximation of a quaternion matrix and can be used in subspace method for wave separation over vector-sensor array.
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2
3
4
5
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