Least Minimum Symbol Error Rate Based Post-Distortion for VLC Using Random Fourier Features

Visible light communications (VLC) has emerged as a viable supplement for high speed next-generation communication systems. However, performance of a VLC link is limited by the nonlinear characteristics of light emitting diodes (LEDs), ambient light, and inter-symbol interference (ISI). In this letter, the paradigm of least-squares based post-distortion over reproducing kernel Hilbert spaces (RKHS) is considered for a visible light communication (VLC) link. The performance-limiting impairments (viz. LED nonlinearity, and ISI), are mitigated by random Fourier features (RFF) based least minimum symbol error-rate post-distorter in RKHS, which facilitates post-distortion under finite memory-budget constrained scenarios. Performance of the proposed algorithm is tested over IEEE 802.15r1 PAN VLC channels, and the proposed algorithm is observed to converge significantly faster, whilst supporting higher data rates as compared to the existing RKHS based post-distorters.

[1]  Robert J. Baxley,et al.  Nonlinear distortion mitigation in visible light communications , 2015, IEEE Wireless Communications.

[2]  Hua Yu,et al.  Normalized Adaptive Channel Equalizer Based on Minimal Symbol-Error-Rate , 2013, IEEE Transactions on Communications.

[3]  Bernard W. Silverman,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[4]  Harald Haas,et al.  What is LiFi? , 2015, 2015 European Conference on Optical Communication (ECOC).

[5]  J. Siuzdak,et al.  Compensation of a VLC Phosphorescent White LED Nonlinearity by Means of Volterra DFE , 2013, IEEE Photonics Technology Letters.

[6]  H. Qian,et al.  Adaptive Postdistortion for Nonlinear LEDs in Visible Light Communications , 2014, IEEE Photonics Journal.

[7]  Sandesh Jain,et al.  KLMS-DFE based adaptive post-distorter for visible light communication , 2019, Optics Communications.

[8]  Vimal Bhatia,et al.  Low Complexity Post-Distorter for Visible Light Communications , 2017, IEEE Communications Letters.

[9]  Li Tao,et al.  8-Gb/s RGBY LED-Based WDM VLC System Employing High-Order CAP Modulation and Hybrid Post Equalizer , 2015, IEEE Photonics Journal.

[10]  Murat Uysal,et al.  Channel Modeling and Characterization for Visible Light Communications , 2015, IEEE Photonics Journal.

[11]  Stefan Videv,et al.  The Impact of Solar Irradiance on Visible Light Communications , 2018, Journal of Lightwave Technology.

[12]  Sergios Theodoridis,et al.  Machine Learning: A Bayesian and Optimization Perspective , 2015 .

[13]  Sergios Theodoridis,et al.  Efficient KLMS and KRLS algorithms: A random fourier feature perspective , 2016, 2016 IEEE Statistical Signal Processing Workshop (SSP).

[14]  Sailing He,et al.  Low-complexity frequency domain nonlinear compensation for OFDM based high-speed visible light communication systems with light emitting diodes. , 2017, Optics express.

[15]  R. Mitra,et al.  Adaptive Sparse Dictionary-Based Kernel Minimum Symbol Error Rate Post-Distortion for Nonlinear LEDs in Visible Light Communications , 2016, IEEE Photonics Journal.

[16]  B. Silverman.  Density estimation for statistics and data analysis , 1986 .

[17]  Nanning Zheng,et al.  Random fourier feature kernel recursive least squares , 2017, 2017 International Joint Conference on Neural Networks (IJCNN).

[18]  S. Haykin,et al.  Adaptive Filter Theory , 1986 .

[19]  Vimal Bhatia,et al.  Mixture-Kernel Based Post-Distortion in RKHS for Time-Varying VLC Channels , 2019, IEEE Transactions on Vehicular Technology.