{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/50689"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/50689","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"An interference alignment scheme for multiple multicast traffic","abstract":"We propose a new coding scheme for interference alignment in a single hop fast fading wireless network with general message demands. For the X Channel, the Degrees of Freedom (DoF) region achievable by the scheme is shown to touch a known outer bound at several points. For multiple multicast demands we show that the achievable region is at least half of the cut-set bound region. We also recover previous results of the K-user interference channel, X channel and the multicast channel. The key innovation in our scheme is the reduction of the vector space alignment problem to a combinatorial arrangement problem.","abstract_html":"We propose a new coding scheme for interference alignment in a single hop fast fading wireless network with general message demands. For the X Channel, the Degrees of Freedom (DoF) region achievable by the scheme is shown to touch a known outer bound at several points. For multiple multicast demands we show that the achievable region is at least half of the cut-set bound region. We also recover previous results of the K-user interference channel, X channel and the multicast channel. 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