The Capacity Region of the L -User Gaussian Inverse Compute-and-Forward Problem

• Published in: IEEE transactions on information theory Vol. 62; no. 12; pp. 6953 - 6968
• Main Authors: Yanying Chen, Yiwei Song, Devroye, Natasha
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.12.2016; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Channel capacity; Channel models; Communication; Computational modeling; compute-and-forward; correlated sources; Decoding; Information theory; joint source-channel coding; Linear equations; Mathematical model; multiple access channel; multiuser channels; Normal distribution; Receivers; Relays; Transmitters

We consider an L-user multiple access channel where transmitter m has access to the linear equation u m = ⊕ l=1 L f ml w l of independent messages w l ∈ F p k l with f ml ∈ F p , and the destination wishes to recover all L messages. This problem may be motivated as the last hop in a network where re...