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arXiv · 0710.3777

A Deterministic Approach to Wireless Relay Networks

A. S. Avestimehr·S. N. Diggavi·D. N. C. Tse
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Abstract

We present a deterministic channel model which captures several key features of multiuser wireless communication. We consider a model for a wireless network with nodes connected by such deterministic channels, and present an exact characterization of the end-to-end capacity when there is a single source and a single destination and an arbitrary number of relay nodes. This result is a natural generalization of the max-flow min-cut theorem for wireline networks. Finally to demonstrate the connections between deterministic model and Gaussian model, we look at two examples: the single-relay channel and the diamond network. We show that in each of these two examples, the capacity-achieving scheme in the corresponding deterministic model naturally suggests a scheme in the Gaussian model that is within 1 bit and 2 bit respectively from cut-set upper bound, for all values of the channel gains. This is the first part of a two-part paper; the sequel [1] will focus on the proof of the max-flow min-cut theorem of a class of deterministic networks of which our model is a special case.

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BibTeXRIS

A. S. Avestimehr, S. N. Diggavi, D. N. C. Tse. 2007-10-19. A Deterministic Approach to Wireless Relay Networks. https://arxiv.org/abs/0710.3777

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