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Ad Hoc Network Duplexing, Multiplexing, and Multiple Access: Canonical Results for Two Limiting Topologies

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Abstract

Wireless ad-hoc networks have seen much attention in recent years, for the numerous benefits they offer. There are still a number of open research questions regarding these networks, and this paper addresses the question of which duplexing, multiplexing, and multiple access (D/M/MA) techniques are preferable in ad hoc networks. These techniques have substantial impact on network performance, yet this particular topic has seen surprisingly little attention. In this paper, we investigate D/M/MA techniques in ad-hoc networks and specifically address how to allocate time/frequency resources to improve network performance. We provide a comparison of time, frequency, and time-frequency schemes in terms of a number of features, including throughput, relative range and capacity. To keep the analyses tractable, we conduct our study using two limiting or “extreme” topologies: full mesh and pure relay networks. Our results show that for a peak power constraint, in terms of data rate, range, or capacity, continuous single-carrier waveforms are superior to bursted multi-carrier waveforms, and these schemes are attained with appropriate application of “hybrid” time-frequency division. Latency and throughput simulation results are provided for mesh networks, and analytical signal-to-noise-plus-interference ratio and simulation results for relay networks are also provided, to support our theoretically-based claims.

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Notes

  1. Code division multiple access (CDMA), which requires spectral spreading beyond the bandwidth needed for data transmission, is widely used in military and covert communication systems, for its resistance to interference, multipath fading and physical layer security [35]. It is used in commercial cellular systems as well. Although CD is worth study in ad hoc networks, for reasons of length we do not discuss CDMA further in this paper.

  2. Note this definition of MA could also be viewed as demultiplexing at the receiver.

  3. If transmission data rates are not identical in the two directions, we would separate the analysis into “uplink” and “downlink” and apply the different data rates to the two directions; although this clearly affects results, our subsequent attention to the more realistic topologies will assume equal data rates for all nodes, hence we focus on this case.

  4. The actual relationship between bit rate and bandwidth will depend on the specific modulation, coding, pulse shape filter, etc. For simplicity, we use this approximation here. For linear modulation, bit rate and bandwidth will always be proportional.

  5. Schemes in different topologies are distinguished by abbreviations, e.g., “MT” for mesh time division, “RTF” for relay time-frequency division.

  6. We note for the geometrically-astute reader that in networks with more than 3 nodes, all link distances cannot be equal, but on a per-link basis this does not affect our conclusions.

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Zhang, Q., Matolak, D.W. Ad Hoc Network Duplexing, Multiplexing, and Multiple Access: Canonical Results for Two Limiting Topologies. Wireless Pers Commun 75, 965–985 (2014). https://doi.org/10.1007/s11277-013-1402-7

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