Polarization-Aware Prediction of Mobile Radio Wave Propagation Based on Complex-Valued and Quaternion Neural Networks

It is important to predict the characteristics of radio waves propagating in wireless environment for compensating information loss caused by fading effects. Though fading is often analyzed as the changes of intrinsic electric-field phasor describing a communication channel, it is also attributed gr...

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Main Authors: Haotian Chen, Ryo Natsuaki, Akira Hirose
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9801826/
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author Haotian Chen
Ryo Natsuaki
Akira Hirose
author_facet Haotian Chen
Ryo Natsuaki
Akira Hirose
author_sort Haotian Chen
collection DOAJ
description It is important to predict the characteristics of radio waves propagating in wireless environment for compensating information loss caused by fading effects. Though fading is often analyzed as the changes of intrinsic electric-field phasor describing a communication channel, it is also attributed greatly to its polarization state (PS). In this paper, we propose PS and phasor prediction methods based on quaternion neural networks (QNNs) and complex-valued neural networks (CVNNs). Quaternion is a hypercomplex number system for representing three dimensional (3-D) spatial rotation and orientation. It realizes adaptive prediction more stably and effectively than a real-valued rotation matrix. The time trajectories of PS are expressed as 3-D rotational motions on the Poincare sphere. We show that QNNs learn the spatiotemporal movements of the PS with high generalization ability and thus provide a superior prediction performance. In addition, CVNNs are efficient predictors for processing complex-valued signals such as the phasor of an incident wave. We evaluate the precision of the proposed QNN-CVNN prediction scheme in channel equalization in a time-division-duplex (TDD) orthogonal-frequency-division-multiplexing (OFDM) communication system. In physical wireless-environment experiments, we find that the proposed scheme provides 3.0 dB and 6.0 dB improvements of bit error rate (BER) at 10<sup>&#x2212;4</sup>, showing almost the same BER performance as a system perfectly knowing the actual radio-wave characteristics in future TDD frames. Accordingly, this work also reveals that PS needs to be considered as one of the significant characteristics in various radio-wave systems in the near-future technology.
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spelling doaj.art-fb4dec06aa3540ce92cf90f1ab5af9d32022-12-22T02:39:12ZengIEEEIEEE Access2169-35362022-01-0110665896660010.1109/ACCESS.2022.31847889801826Polarization-Aware Prediction of Mobile Radio Wave Propagation Based on Complex-Valued and Quaternion Neural NetworksHaotian Chen0https://orcid.org/0000-0003-2388-2299Ryo Natsuaki1https://orcid.org/0000-0003-2291-4375Akira Hirose2https://orcid.org/0000-0002-6936-9733Department of Electrical Engineering and Information Systems, The University of Tokyo, Tokyo, JapanDepartment of Electrical Engineering and Information Systems, The University of Tokyo, Tokyo, JapanDepartment of Electrical Engineering and Information Systems, The University of Tokyo, Tokyo, JapanIt is important to predict the characteristics of radio waves propagating in wireless environment for compensating information loss caused by fading effects. Though fading is often analyzed as the changes of intrinsic electric-field phasor describing a communication channel, it is also attributed greatly to its polarization state (PS). In this paper, we propose PS and phasor prediction methods based on quaternion neural networks (QNNs) and complex-valued neural networks (CVNNs). Quaternion is a hypercomplex number system for representing three dimensional (3-D) spatial rotation and orientation. It realizes adaptive prediction more stably and effectively than a real-valued rotation matrix. The time trajectories of PS are expressed as 3-D rotational motions on the Poincare sphere. We show that QNNs learn the spatiotemporal movements of the PS with high generalization ability and thus provide a superior prediction performance. In addition, CVNNs are efficient predictors for processing complex-valued signals such as the phasor of an incident wave. We evaluate the precision of the proposed QNN-CVNN prediction scheme in channel equalization in a time-division-duplex (TDD) orthogonal-frequency-division-multiplexing (OFDM) communication system. In physical wireless-environment experiments, we find that the proposed scheme provides 3.0 dB and 6.0 dB improvements of bit error rate (BER) at 10<sup>&#x2212;4</sup>, showing almost the same BER performance as a system perfectly knowing the actual radio-wave characteristics in future TDD frames. Accordingly, this work also reveals that PS needs to be considered as one of the significant characteristics in various radio-wave systems in the near-future technology.https://ieeexplore.ieee.org/document/9801826/Radio wave predictionpolarization statequaternion neural networkcomplex-valued neural network
spellingShingle Haotian Chen
Ryo Natsuaki
Akira Hirose
Polarization-Aware Prediction of Mobile Radio Wave Propagation Based on Complex-Valued and Quaternion Neural Networks
IEEE Access
Radio wave prediction
polarization state
quaternion neural network
complex-valued neural network
title Polarization-Aware Prediction of Mobile Radio Wave Propagation Based on Complex-Valued and Quaternion Neural Networks
title_full Polarization-Aware Prediction of Mobile Radio Wave Propagation Based on Complex-Valued and Quaternion Neural Networks
title_fullStr Polarization-Aware Prediction of Mobile Radio Wave Propagation Based on Complex-Valued and Quaternion Neural Networks
title_full_unstemmed Polarization-Aware Prediction of Mobile Radio Wave Propagation Based on Complex-Valued and Quaternion Neural Networks
title_short Polarization-Aware Prediction of Mobile Radio Wave Propagation Based on Complex-Valued and Quaternion Neural Networks
title_sort polarization aware prediction of mobile radio wave propagation based on complex valued and quaternion neural networks
topic Radio wave prediction
polarization state
quaternion neural network
complex-valued neural network
url https://ieeexplore.ieee.org/document/9801826/
work_keys_str_mv AT haotianchen polarizationawarepredictionofmobileradiowavepropagationbasedoncomplexvaluedandquaternionneuralnetworks
AT ryonatsuaki polarizationawarepredictionofmobileradiowavepropagationbasedoncomplexvaluedandquaternionneuralnetworks
AT akirahirose polarizationawarepredictionofmobileradiowavepropagationbasedoncomplexvaluedandquaternionneuralnetworks