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We propose a fast and near-optimal approach to joint channel-estimation,equalization, and decoding of coded single-carrier (SC) transmissions overfrequency-selective channels with few-bit analog-to-digital converters (ADCs).Our approach leverages parametric bilinear generalized approximate messagepassing (PBiGAMP) to reduce the implementation complexity of joint channelestimation and (soft) symbol decoding to that of a few fast Fourier transforms(FFTs). Furthermore, it learns and exploits sparsity in the channel impulseresponse. Our work is motivated by millimeter-wave systems with bandwidths onthe order of Gsamples/sec, where few-bit ADCs, SC transmissions, and fastprocessing all lead to significant reductions in power consumption andimplementation cost. We numerically demonstrate our approach using signals andchannels generated according to the IEEE 802.11ad wireless local area network(LAN) standard, in the case that the receiver uses analog beamforming and asingle ADC.

Joint Channel-Estimation/Decoding with Frequency-Selective Channels and Few-Bit ADCs