Concurrent Decision Directed and Constant Modulus Equalization Algorithm Based on Quaternion

LI Sen; XU Mingying; ZHANG Lu; DENG Mingxu

doi:10.11999/JEIT221413

Volume 45 Issue 10

Oct. 2023

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LI Sen, XU Mingying, ZHANG Lu, DENG Mingxu. Concurrent Decision Directed and Constant Modulus Equalization Algorithm Based on Quaternion[J]. Journal of Electronics & Information Technology, 2023, 45(10): 3622-3630. doi: 10.11999/JEIT221413

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LI Sen, XU Mingying, ZHANG Lu, DENG Mingxu. Concurrent Decision Directed and Constant Modulus Equalization Algorithm Based on Quaternion[J]. Journal of Electronics & Information Technology, 2023, 45(10): 3622-3630. doi: 10.11999/JEIT221413

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Concurrent Decision Directed and Constant Modulus Equalization Algorithm Based on Quaternion

doi: 10.11999/JEIT221413

College of Information Science and Technology, Dalian Maritime University, Dalian 116026, China

Funds: The National Key Research and Development Program of China (2019YFE0111600), The National Natural Science Foundation of China (51939001,61971083), Liao Ning Revitalization Talents Program ( XLYC2002078) , The Major Key Project of PCL(PCL2021A03-1)

Received Date: 2022-11-09
Rev Recd Date: 2023-07-05

Available Online: 2023-07-13

Publish Date: 2023-10-31

Abstract

Abstract

In recent years, quaternion theory has become a research hotspot for scholars and has been applied to many fields. In this paper, the quadrature polarization channel equalization problem is studied based on quaternion adaptive filtering algorithm. In order to solve the phase ambiguity problem of Quaternion Constant Modulus Algorithm (QCMA), a concurrent quaternion Direct Decision constant modulus algorithm (QCMA+DD-QLMS) is proposed by combining QCMA algorithm with Quaternion Least Mean Square (QLMS) algorithm. Based on the gradient operation rules of Generalized Hamilton-Real (GHR), the new algorithm is theoretically deduced and simulated by MATLAB. The simulation results show that the algorithm proposed in this paper can not only solve the phase ambiguity problem of the QCMA, but also has smaller steady-state Mean Square Error (MSE).

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References(21)

References

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