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Leveraging recent results in finite-blocklength information theory, weinvestigate the problem of designing a control channel in a 5G system. Thesetup involves the transmission, under stringent latency and reliabilityconstraints, of a short data packet containing a small information payload,over a propagation channel that offers limited frequency diversity and no timediversity. We present an achievability bound, built upon the random-codingunion bound with parameter $s$ (Martinez & Guill\'en i F\`abregas, 2011), whichrelies on quadrature phase-shift keying modulation, pilot-assisted transmissionto estimate the fading channel, and scaled nearest-neighbor decoding at thereceiver. Using our achievability bound, we determine how many pilot symbolsshould be transmitted to optimally trade between channel-estimation errors andrate loss due to pilot overhead. Our analysis also reveals the importance ofusing multiple antennas at the transmitter and/or the receiver to provide thespatial diversity needed to meet the stringent reliability constraint.

Pilot-Assisted Short-Packet Transmission over Multiantenna Fading Channels: A 5G Case Study