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## Effects of mobility on user energy consumption and total throughput in a massive MIMO system (2014)

Venue: | in Information Theory Workshop (ITW), 2014 IEEE |

### Citations

1681 |
Microwave mobile communications
- Jakes
- 1974
(Show Context)
Citation Context ...se; or (iii) interference fluctuations due to movement of interfering devices. To understand the behavior of fading various models were proposed with varying complexity, starting from the Jakes model =-=[1]-=- to more involved correlated models in both frequency and time [2]. The introduction of concise fading models made it possible to obtain, together with numerical simulations, analytical expressions fo... |

1213 | A survey of mobility models for ad hoc network research
- Camp, Boleng, et al.
(Show Context)
Citation Context ...ich depends on the user mobility. To analyze the effects of mobility, simple yet effective models that describe the statistics of humans moving around are necessary. Several models have been proposed =-=[7]-=-, [8] and their statistical properties have been studied [9] in detail and have been implemented in numerical simulators. In particular, three types of mobility models are more popular. The first and ... |

1086 |
Zeitouni O: Large Deviations Techniques and Applications
- Dembo
- 1998
(Show Context)
Citation Context ... = inf 2R {x ✏0()}(10) where ✏0() is the minimum eigenvalue of the operator M = D 2 r2 + V (r). (11) Proof. We now sketch the basic steps of the proof. We start by applying Cramer’s theorem =-=[16]-=- to find that in the limit of large T the quantity logP(ET 2 A) obeys a large deviation principle with rate function I(x) so that lim T!1 1 T logP(ET /T 2 A) = inf x2A I(x) (12) I(x) = inf 2R {x... |

372 |
Random Matrix Theory and Wireless Communications, ser
- Tulino, Verdu
- 2004
(Show Context)
Citation Context ...The introduction of concise fading models made it possible to obtain, together with numerical simulations, analytical expressions for the quantities of interest, such as ergodic and outage capacities =-=[3]-=-. This in turn allowed the introduction of ways to counter the adverse effects of fading, through scheduling and space-time coding. The effects of pathloss have also been studied more recently in a la... |

307 |
Spectra of Random and almost periodic operators
- Pastur, Figotin
- 1992
(Show Context)
Citation Context ... fairly general to encompass (at least in principle) all Markovian mobility models described above. The methodology is based on a simple, but powerful theorem, the so-called Feynman-Kac formula [13], =-=[14]-=-, which maps the average over all random walks to the minimum eigenvalue of a partial differential equation that is related to the random walk. Next section defines the metrics of interest (in terms o... |

269 |
Quantum Mechanics
- Cohen-Tannoudji, Diu, et al.
- 1977
(Show Context)
Citation Context ... we may obtain the behavior for ET ⇡ TPmean. With some hindsight, we look in the region of small ||. In this case, V (r) is assumed to be small and after performing second order perturbation theory =-=[18]-=- we find that ✏0() ⇡ Pmean 2 X n 6=0 V 2n0 ✏n (25) where Vn0 is the expectation of V (r) over the eigenfunction n0(r) of the Laplacian and ✏n0 the corresponding eigenvalue in the square domain. ... |

251 | Stochastic Geometry and Wireless Networks, Volume 1: Theory - Baccelli, Błaszczyszyn - 2009 |

173 |
Functional integration and quantum physics
- Simon
- 1979
(Show Context)
Citation Context ...ach is fairly general to encompass (at least in principle) all Markovian mobility models described above. The methodology is based on a simple, but powerful theorem, the so-called Feynman-Kac formula =-=[13]-=-, [14], which maps the average over all random walks to the minimum eigenvalue of a partial differential equation that is related to the random walk. Next section defines the metrics of interest (in t... |

140 | On the Levy-Walk Nature of Human Mobility.
- Rhee, Shin, et al.
- 2011
(Show Context)
Citation Context ...h infinite variance in the step size distribution, which corresponding to Levy processes (due to the long tails in the step sizes). This has been proposed as a more realistic model for human mobility =-=[10]-=-, [11]. Finally, the so-called random waypoint process (RWP) has also been proposed, in which a mobile user picks a random destination and travels with constant velocity to reach it, which is also a M... |

105 | Perfect Simulation and Stationarity of a Class of Mobility Models,”
- Boudec, Vojnovic
- 2005
(Show Context)
Citation Context ...mobility, simple yet effective models that describe the statistics of humans moving around are necessary. Several models have been proposed [7], [8] and their statistical properties have been studied =-=[9]-=- in detail and have been implemented in numerical simulators. In particular, three types of mobility models are more popular. The first and simplest one is a random walk (RW). This model is a continuo... |

70 |
Asymptotics for the Wiener sausage.
- Donsker, Varadhan
- 1975
(Show Context)
Citation Context ...18) Combining the above result with (13) and (14) completes the proof. Remark. It should be pointed out that there are analogous (but non-local) expressions for generators of stable processes as well =-=[17]-=-. Also, discrete analogues of the Laplacian can also be found, corresponding to discrete space (continuous time) Markov processes. The FK formula essentially finds the right way to weight the dynamics... |

59 | Interference in Large Wireless Networks,
- Haenggi, Ganti
- 2009
(Show Context)
Citation Context ...rse effects of fading, through scheduling and space-time coding. The effects of pathloss have also been studied more recently in a large body of work using the theory of Poisson point processes (PPP) =-=[4]-=-–[6]. This approach has provided a good ALM was funded by the research program CROWN, through the Operational Program Education and Lifelong Learning 2007-2013 of NSRF, which has been co-financed by E... |

50 |
A Survey of Mobility Models in Wireless Ad hoc Networks
- Bai, Helmy
- 2006
(Show Context)
Citation Context ...epends on the user mobility. To analyze the effects of mobility, simple yet effective models that describe the statistics of humans moving around are necessary. Several models have been proposed [7], =-=[8]-=- and their statistical properties have been studied [9] in detail and have been implemented in numerical simulators. In particular, three types of mobility models are more popular. The first and simpl... |

41 |
On the number of distinct sites visited by a random walk,
- Donsker, Varadhan
- 1979
(Show Context)
Citation Context ...corresponding to long tailed distributions [10], [11]. The only difference is the introduction of an appropriate infinitesimal generator of the process, which is a symmetric stable law of index ↵ < 2 =-=[20]-=-. In this case M0 does not have a local representation (as a derivative), but is still well defined [17], [20], [21]. It is worth mentioning briefly how the above results are expected to change, focus... |

23 | A wideband spatial channel model for system-wide simulations,”
- Calcev, Chizhik, et al.
- 2007
(Show Context)
Citation Context ...ing devices. To understand the behavior of fading various models were proposed with varying complexity, starting from the Jakes model [1] to more involved correlated models in both frequency and time =-=[2]-=-. The introduction of concise fading models made it possible to obtain, together with numerical simulations, analytical expressions for the quantities of interest, such as ergodic and outage capacitie... |

9 |
Extreme eigenvalues of N-dimensional convolution operators
- Widom
- 1963
(Show Context)
Citation Context ...initesimal generator of the process, which is a symmetric stable law of index ↵ < 2 [20]. In this case M0 does not have a local representation (as a derivative), but is still well defined [17], [20], =-=[21]-=-. It is worth mentioning briefly how the above results are expected to change, focusing for brevity only on the energy case. Since M0 will have scale dimensions of R↵, we can rescale the equations to... |

3 |
Opportunistic communications in infostation systems: Delay and stability analysis
- Galluccio, Morabito, et al.
- 2010
(Show Context)
Citation Context ...cks a random destination and travels with constant velocity to reach it, which is also a Markov process. However, despite the well-understood properties of the mobility models above not much progress =-=[12]-=- has been made towards providing analytical results for the long term statistics of communications performance metrics, such energy consumed or total throughput. In this work, we take advantage of the... |

3 | Energy consumption in multi-user MIMO systems: Impact of user mobility
- Sanguinetti, Moustakas, et al.
(Show Context)
Citation Context ... the Laplacian and ✏n0 the corresponding eigenvalue in the square domain. It then turns out that I(x) takes the form Ie(x) ⇡ (x Pmean) 2 42 (26) with 2 is the term multiplying 2 above, recovering =-=[19]-=-. In Fig. 1(a) we plot the numerically generated rate function of the energy Ie(x) by calculating the minimum eigenvalue ✏0() of (11) with V (r) = r in a square of unit length for various values o... |

1 |
Understanding the complexity of the lvy-walk nature of human mobility with a multi-scale cost/benefit model
- Scafetta
(Show Context)
Citation Context ...nite variance in the step size distribution, which corresponding to Levy processes (due to the long tails in the step sizes). This has been proposed as a more realistic model for human mobility [10], =-=[11]-=-. Finally, the so-called random waypoint process (RWP) has also been proposed, in which a mobile user picks a random destination and travels with constant velocity to reach it, which is also a Markov ... |