Expanding the compute-and-forward framework: Unequal powers, signal levels, and multiple linear combinations

Bobak Nazer, Viveck Ramesh Cadambe, Vasilis Ntranos, Giuseppe Caire

    Research output: Contribution to journalArticle

    21 Scopus citations

    Abstract

    The compute-and-forward framework permits each receiver in a Gaussian network to directly decode a linear combination of the transmitted messages. The resulting linear combinations can then be employed as an end-to-end communication strategy for relaying, interference alignment, and other applications. Recent efforts have demonstrated the advantages of employing unequal powers at the transmitters and decoding more than one linear combination at each receiver. However, neither of these techniques fit naturally within the original formulation of compute-and-forward. This paper proposes an expanded compute-and-forward framework that incorporates both of these possibilities and permits an intuitive interpretation in terms of signal levels. Within this framework, recent achievability and optimality results are unified and generalized.

    Original languageEnglish (US)
    Article number7517355
    Pages (from-to)4879-4909
    Number of pages31
    JournalIEEE Transactions on Information Theory
    Volume62
    Issue number9
    DOIs
    StatePublished - Sep 1 2016

    All Science Journal Classification (ASJC) codes

    • Information Systems
    • Computer Science Applications
    • Library and Information Sciences

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