Quasi-static SIMO fading channels at finite blocklength
Author(s)Yang, Wei; Durisi, Giuseppe; Koch, Tobias; Polyanskiy, Yury
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We investigate the maximal achievable rate for a given blocklength and error probability over quasi-static single-input multiple-output (SIMO) fading channels. Under mild conditions on the channel gains, it is shown that the channel dispersion is zero regardless of whether the fading realizations are available at the transmitter and/or the receiver. The result follows from computationally and analytically tractable converse and achievability bounds. Through numerical evaluation, we verify that, in some scenarios, zero dispersion indeed entails fast convergence to outage capacity as the blocklength increases. In the example of a particular 1×2 SIMO Rician channel, the blocklength required to achieve 90% of capacity is about an order of magnitude smaller compared to the blocklength required for an AWGN channel with the same capacity.
DepartmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Proceedings of the 2013 IEEE International Symposium on Information Theory
Institute of Electrical and Electronics Engineers (IEEE)
Yang, Wei, Giuseppe Durisi, Tobias Koch, and Yury Polyanskiy. “Quasi-Static SIMO Fading Channels at Finite Blocklength.” 2013 IEEE International Symposium on Information Theory (July 2013).
Author's final manuscript