Implementation of the paper "Model Free Training of End-to-End Communication Systems" - Fayçal Ait Aoudia, Jakob Hoydis.
The authors in the paper "Model-Free Training of End-to-End Communication Systems" consider auto-encoder based architecture for the entire transmitter and receiver model with the channel between the encoder (transmitter) and decoder (receiver). The following is the brief explaination of the paper.
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Here, model-free refers to the communication model where the channel is unknown or has non-differentiable components. Hence the encoder (transmitter) cann't be trained through backpropagation.
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The objective was to train the autoencoder such that the decoder is able to detect the transmitted messages that are transmitted through the channel.
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To train the autoencoder, the authors propose an alternating algorithm where the decoder (receiver) and the encoder (transmitter) are trained separately.
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Since the encoder cann't be trained as the channel can be non-differentiable, approximate gradient of loss function is used to train the encoder (transmitter).
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Input: One-hot encoded messages that are transmitted through AWGN/ Rayleigh Block Fading (RBF) channel after encoding.
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Encoder: 2 layers of fully connected network with elu as the activation function with normalization to satisfy the power constraints. The output of the encoder is the symbol that is transmitted.
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Decoder: 2 layers of fully connected network with elu as the activation function for the
$1^{st}$ layer and softmax as the activation function for the$2^{nd}$ layer. Input to the decoder is the noisy version of the transmitted symbol. -
Output: Predict the transmitted symbol using the received symbol.
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Loss Function: Categorical cross-entropy
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Optimizer: Adam