Paper ID | W.4.1 | ||
Paper Title | Gaussian Multiple and Random Access in the Finite Blocklength Regime | ||
Authors | Recep Can Yavas, Victoria Kostina, Michelle Effros, California Institute of Technology, United States | ||
Session | W.4: Random Access II | ||
Presentation | Lecture | ||
Track | Wireless Communications | ||
Manuscript | Click here to download the manuscript | ||
Virtual Presentation | Click here to watch in the Virtual Symposium | ||
Abstract | This paper presents finite-blocklength achievability bounds for the Gaussian multiple access channel (MAC) and random access channel (RAC) under average-error and maximal-power constraints. Using random codewords uniformly distributed on a sphere and a maximum likelihood decoder, the derived MAC bound on each transmitter's rate matches the MolavianJazi-Laneman bound (2015) in its first- and second-order terms, improving the remaining terms to $\frac{1}{2}\frac{\log n}{n}+O({\frac1n})$bits per channel use. The result then extends to a RAC model in which neither the encoders nor the decoder knows which of $K$ possible transmitters are active. In the proposed rateless coding strategy, decoding occurs at a time $n_t$ that depends on the decoder's estimate $t$ of the number of active transmitters $k$. Single-bit feedback from the decoder to all encoders at each potential decoding time $n_i$, $i \leq t$, informs the encoders when to stop transmitting. For this RAC model, the proposed code achieves the same first-, second-, and third-order performance as the best known result for the Gaussian MAC in operation. |
Plan Ahead
2021 IEEE International Symposium on Information Theory
11-16 July 2021 | Melbourne, Victoria, Australia