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Zero-delay transmission of a Gaussian source over an additive white Gaussiannoise (AWGN) channel is considered with a one-bit analog-to-digital converter(ADC) front end and a correlated side information at the receiver. The designof the optimal encoder and decoder is studied for two performance criteria,namely, the mean squared error (MSE) distortion and the distortion outageprobability (DOP), under an average power constraint on the channel input. Forboth criteria, necessary optimality conditions for the encoder and the decoderare derived. Using these conditions, it is observed that the numericallyoptimized encoder (NOE) under the MSE distortion criterion is periodic, and itsperiod increases with the correlation between the source and the receiver sideinformation. For the DOP, it is instead seen that the NOE mappings periodicallyacquire positive and negative values, which decay to zero with increasingsource magnitude, and the interval over which the mapping takes non-zerovalues, becomes wider with the correlation between the source and the sideinformation.

Zero-Delay Source-Channel Coding with a One-Bit ADC Front End and Correlated Side Information at the Receiver