End-to-End Optimized Transmission over Dispersive Intensity-Modulated Channels Using Bidirectional Recurrent Neural Networks

We propose an autoencoding sequence-based transceiver for communication over dispersive channels with intensity modulation and direct detection (IM/DD), designed as a bidirectional deep recurrent neural network (BRNN). The receiver uses a sliding window technique to allow for efficient data stream estimation. We find that this sliding window BRNN (SBRNN), based on end-to-end deep learning of the communication system, achieves a significant bit-error-rate reduction at all examined distances in comparison to previous block-based autoencoders implemented as feed-forward neural networks (FFNNs), leading to an increase of the transmission distance. We also compare the end-to-end SBRNN with a state-of-the-art IM/DD solution based on two level pulse amplitude modulation with an FFNN receiver, simultaneously processing multiple received symbols and approximating nonlinear Volterra equalization. Our results show that the SBRNN outperforms such systems at both 42 and 84 Gb/s, while training fewer parameters. Our novel SBRNN design aims at tailoring the end-to-end deep learning-based systems for communication over nonlinear channels with memory, such as the optical IM/DD fiber channel.

[1]  Wayne Luk,et al.  A hardware Gaussian noise generator using the Box-Muller method and its error analysis , 2006, IEEE Transactions on Computers.

[2]  Laurent Schmalen,et al.  Experimental Demonstration of a Dispersion Tolerant End-to-End Deep Learning-Based IM-DD Transmission System , 2018, 2018 European Conference on Optical Communication (ECOC).

[3]  Yoshua Bengio,et al.  Light Gated Recurrent Units for Speech Recognition , 2018, IEEE Transactions on Emerging Topics in Computational Intelligence.

[4]  Kuldip K. Paliwal,et al.  Bidirectional recurrent neural networks , 1997, IEEE Trans. Signal Process..

[5]  Omer Levy,et al.  Recurrent Additive Networks , 2017, ArXiv.

[6]  Andreas Leven,et al.  Applying Neural Networks in Optical Communication Systems: Possible Pitfalls , 2017, IEEE Photonics Technology Letters.

[7]  Stephan ten Brink,et al.  Deep Learning Based Communication Over the Air , 2017, IEEE Journal of Selected Topics in Signal Processing.

[8]  Geoffrey E. Hinton,et al.  Rectified Linear Units Improve Restricted Boltzmann Machines , 2010, ICML.

[9]  Xiaofeng Hu,et al.  Recurrent Neural Network (RNN) Based End-to-End Nonlinear Management for Symmetrical 50Gbps NRZ PON with 29dB+ Loss Budget , 2018, 2018 European Conference on Optical Communication (ECOC).

[10]  Jürgen Schmidhuber,et al.  Long Short-Term Memory , 1997, Neural Computation.

[11]  Vincent Houtsma,et al.  92 and 50 Gbps TDM-PON using Neural Network Enabled Receiver Equalization Specialized for PON , 2019, 2019 Optical Fiber Communications Conference and Exhibition (OFC).

[12]  Henk Wymeersch,et al.  Achievable Information Rates for Nonlinear Fiber Communication via End-to-end Autoencoder Learning , 2018, 2018 European Conference on Optical Communication (ECOC).

[13]  Yoshua Bengio,et al.  Learning Phrase Representations using RNN Encoder–Decoder for Statistical Machine Translation , 2014, EMNLP.

[14]  Erik Agrell,et al.  Information-Theoretic Tools for Optical Communications Engineers , 2018, 2018 IEEE Photonics Conference (IPC).

[15]  Jimmy Ba,et al.  Adam: A Method for Stochastic Optimization , 2014, ICLR.

[16]  Polina Bayvel,et al.  End-to-End Deep Learning of Optical Fiber Communications , 2018, Journal of Lightwave Technology.

[17]  Andrea Goldsmith,et al.  Neural Network Detection of Data Sequences in Communication Systems , 2018, IEEE Transactions on Signal Processing.

[18]  I. Lyubomirsky Machine Learning Equalization Techniques for High Speed PAM 4 Fiber Optic Communication Systems , 2015 .

[19]  Jakob Hoydis,et al.  An Introduction to Deep Learning for the Physical Layer , 2017, IEEE Transactions on Cognitive Communications and Networking.

[20]  G. Agrawal Fiber‐Optic Communication Systems , 2021 .

[21]  Geoffrey E. Hinton,et al.  Learning representations by back-propagating errors , 1986, Nature.

[22]  Andrea J. Goldsmith,et al.  Neural Network Detectors for Molecular Communication Systems , 2018, 2018 IEEE 19th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).