Title :
Sum degrees-of-freedom of two-unicast wireless networks
Author :
Shomorony, Ilan ; Avestimehr, A. Salman
Author_Institution :
Sch. of Electr. & Comput. Eng., Cornell Univ., Ithaca, NY, USA
fDate :
July 31 2011-Aug. 5 2011
Abstract :
We consider two-source two-destination (i.e., two-unicast) multi-hop wireless networks that have a layered structure with arbitrary connectivity. We show that, if the channel gains are independently drawn from continuous distributions, then, with probability 1, two-unicast layered Gaussian networks can only have 1, 3/2 or 2 sum degrees-of-freedom. We provide necessary and sufficient conditions for each case based on the network topology and a new notion of source-destination paths with manageable interference.
Keywords :
Gaussian channels; telecommunication network topology; wireless channels; Gaussian networks; arbitrary connectivity; manageable interference; network topology; source-destination paths; sum degrees-of-freedom; two-unicast wireless networks; Approximation methods; Interference channels; Network coding; Unicast; Wireless networks;
Conference_Titel :
Information Theory Proceedings (ISIT), 2011 IEEE International Symposium on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4577-0596-0
Electronic_ISBN :
2157-8095
DOI :
10.1109/ISIT.2011.6033938
