### Citations

228 | Stochastic geometry and random graphs for the analysis and design of wireless networks
- Haenggi, Andrews, et al.
- 2009
(Show Context)
Citation Context ... one-dimensional case, we also provide results on the achievable rate and the transport capacity. B. Related work While a growing body of work studies interference in random networks (see, e.g., [1], =-=[2]-=- and references therein), only few papers have addressed the issue of interference in lattice networks. In [3], bounds on the interference in triangular networks were derived using a relatively crude ... |

46 | Local Throughput, and Capacity of Random Wireless Networks
- Haenggi, “Outage
- 2009
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Citation Context ...ar-optimum scheduling schemes for any density 1/m2, m ∈ N. The interference distribution in one-dimensional networks with Rayleigh fading is analyzed in [5] for the case where all nodes transmit, and =-=[6]-=- derives outage results an throughput-optimum TDMA schedulers for the same type of network. Finally, the single-hop throughput for two-dimensional lattice networks with Rayleigh fading is approximated... |

26 | Interference in Wireless Multi-hop Adhoc Networks and its Effect on Network Capacity
- Hekmat, Mieghem
- 2004
(Show Context)
Citation Context ...ork While a growing body of work studies interference in random networks (see, e.g., [1], [2] and references therein), only few papers have addressed the issue of interference in lattice networks. In =-=[3]-=-, bounds on the interference in triangular networks were derived using a relatively crude upper bound on the Riemann zeta function that is within 25% of the true value for the range of 2 to 4. We will... |

23 |
Throughput analysis of fading sensor networks with regular and random topologies
- Liu, Haenggi
- 2005
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Citation Context ...ives outage results an throughput-optimum TDMA schedulers for the same type of network. Finally, the single-hop throughput for two-dimensional lattice networks with Rayleigh fading is approximated in =-=[7]-=-. For non-fading channels, [8] provides throughput results for general TDMA schemes in two-dimensional lattice networks. The interference is expressed using complicated infinite double sums (that are ... |

17 |
On the distribution of cumulated interference power in Rayleigh fading channels
- Mathar, Mattfeldt
- 1995
(Show Context)
Citation Context ...is 1/4 is suggested in [4]. Here, we provide near-optimum scheduling schemes for any density 1/m2, m ∈ N. The interference distribution in one-dimensional networks with Rayleigh fading is analyzed in =-=[5]-=- for the case where all nodes transmit, and [6] derives outage results an throughput-optimum TDMA schedulers for the same type of network. Finally, the single-hop throughput for two-dimensional lattic... |

11 |
Throughput Analysis of Large Wireless Networks with Regular Topologies
- Hong, Hua
(Show Context)
Citation Context ...put-optimum TDMA schedulers for the same type of network. Finally, the single-hop throughput for two-dimensional lattice networks with Rayleigh fading is approximated in [7]. For non-fading channels, =-=[8]-=- provides throughput results for general TDMA schemes in two-dimensional lattice networks. The interference is expressed using complicated infinite double sums (that are evaluated numerically), for wh... |

4 |
Exact results for some lattice sums in
- Zucker
- 1974
(Show Context)
Citation Context ...mαC(α))/m, where C(α) is given in (17). IV. SQUARE LATTICES In this section, we consider square lattices L = Z2. In the case of the power law path loss, we may use results on lattice sums, see, e.g., =-=[9]-=-, to express the interference at the origin: I(o) = ∑ x∈L!o ‖x‖−α = 4ζ(α/2)β(α/2) , (18) where β(x) , ∞∑ i=1 (−1)i+1 (2i− 1)x is the Dirichlet beta function. β(2) is Catalan’s constant K = 0.916. So, ... |

2 |
Performance Analysis of Rayleigh Fading Ad Hoc Networks with Regular Topology
- Liu, Haenggi
- 2005
(Show Context)
Citation Context ...work has been supported by the NSF (grants CNS 04-47869, CCF 728763) and the DARPA/IPTO IT-MANET program (grant W911NF-07-1-0028). Manuscript date: April 2, 2010. 2transmitters is 1/4 is suggested in =-=[4]-=-. Here, we provide near-optimum scheduling schemes for any density 1/m2, m ∈ N. The interference distribution in one-dimensional networks with Rayleigh fading is analyzed in [5] for the case where all... |