Channel holding time in mobile cellular networks with heavy-tailed distributed cell dwell time

Corral-Ruiz, Anum L. Enlil; Cruz-Perez, F.A.; Hernandez-Valdez, Genaro

doi:10.1109/wcnc.2011.5779337

Cited by 9 publications

(14 citation statements)

References 12 publications

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“…Hence, the CRs carried by them will stay in the network for a certain period of time and then leave. We can model this behavior by a Pareto distribution [15], with two parameters x m and α m , where x m models the time that they spend to find the victims and to perform the necessary immediate emergency medical treatments and α m value is to model the urgency to leave. After they finish, they leave the place as soon as possible to carry the victims to the hospitals.…”

Section: Emergent Behaviors Of Cognitive Radiosmentioning

confidence: 99%

Modeling and theoretical performance analysis for dynamic spatially distributed energy-based spectrum sensing in Cognitive Radios over shadowed fading channels in Public Safety Networks

Chen

Hudson

Yao

2012

2012 IEEE International Symposium on a World of Wireless, Mobile and Multimedia Networks (WoWMoM)

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Cognitive Radio (CR) is widely studied as an emerging alternative for public safety communications from the aspect of opportunistic spectrum usage for interoperability, which is hampered by incompatible radio equipments and different operational radio frequency bands. Spectrum sensing is one of the key functionalities in Cognitive Radio Networks. Spatially distributed cooperative spectrum sensing can effectively solve the hidden primary user problem. However, the number of CRs in the cooperation is dynamically changing over the time at emergencies. We model the emergent behaviors of CRs and derive the dynamic probability of detection and probability of false alarm in the energy-based cooperative spectrum sensing for public safety cognitive radio networks over composite shadowing/fading channels.

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Section: Emergent Behaviors Of Cognitive Radiosmentioning

confidence: 99%

Modeling and theoretical performance analysis for dynamic spatially distributed energy-based spectrum sensing in Cognitive Radios over shadowed fading channels in Public Safety Networks

Chen

Hudson

Yao

2012

2012 IEEE International Symposium on a World of Wireless, Mobile and Multimedia Networks (WoWMoM)

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“…We can model the number of CRs in the Given that CRs' arrivals follow Poisson random process, type A CRs stay in the network with Weibull dynamic with parameters μ>0 and k>0, and type B CRs stay in the system with Pareto dynamic with parameters x m >0 and α>0 [18], we can obtain the dynamic probability mass function of the total number of CRs in the network as, for 0 ≤ t < x m and n=0, 1, 2, …, …”

Section: A Dynamic Behaviors Of Cognitive Radiosmentioning

confidence: 99%

Energy-based cooperative spectrum sensing for emergency communications over fading channels in Cognitive Radio public safety networks

Chen

Hudson

Yao

2012

2012 IEEE Global Communications Conference (GLOBECOM)

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From the perspective of interoperability, Cognitive Radio (CR) is widely studied as an emerging alternative for public safety communications. Spectrum sensing is one of key functionalities enabling the opportunistic spectrum utilization for CR systems. The energy-based cooperative spectrum sensing is mostly adopted in current CR prototype systems due to the low complexity and high detection speed. The cooperative spectrum sensing performance is influenced by the number of collaborative CRs. However, the number of CRs is dynamically changing due to the dynamic behavior of public safety personnel. We study the dynamic behavior of CRs and also derive the exact analytical closed-form expressions for the sensing performance. These expressions lay the framework for utilizing the optimization tools to efficiently guarantee the global optimality for the system parameter design.

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“…Recently, it has been found that the global effect of cellular size/shape, mobility characteristics of users, link unreliability, handoff mechanisms, and behavior of new type of services can be best captured if these time variables are modeled as random variables (RVs) with general probability distribution functions (pdfs) [2][3][4][5][6][7][8][9]. In this sense, some researchers have employed the gamma, log-normal, Pareto, and Weibull pdfs to model cell residence time [10]. Correspondingly, it has being shown that the Weibull pdf represents a good model for both multimedia applications [11] and session holding time in hierarchical CNs [12].…”

Section: Introductionmentioning

confidence: 99%

“…Contrary to [15,16], in this paper, the impact of DT and IT statistics on the expected value of channel holding time (for handed off and new sessions) is also comprehensively analyzed. Also, in our related research work [10,17], the functional relationship between DT statistics and channel holding time statistics is investigated. Nonetheless, the effect of both link unreliability and DT statistics on the performance of CNs is not addressed in [10,17].…”

Section: Introductionmentioning

confidence: 99%

Performance Sensitivity to the High-Order Statistics of Time Interval Variables in Cellular Networks

Cruz-Perez

Hernandez-Valdez²,

Rico-Páez³

et al. 2020

Mobile Information Systems

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Cell dwell time (DT) and unencumbered interruption time (IT) are fundamental time interval variables in the teletraffic analysis for the performance evaluation of mobile cellular networks. Although a diverse set of general distributions has been proposed to model these time interval variables, the effect of their moments higher than the expected value on system performance has not been reported in the literature. In this paper, sensitivity of teletraffic performance metrics of mobile cellular networks to the first three standardized moments of both DT and IT is investigated in a comprehensive manner. Mathematical analysis is developed considering that both DT and IT are phase-type distributed random variables. This work includes substantial numerical results for quantifying the dependence of system level performance metrics to the values of the first three standardized moments of both DT and IT. For instance, for a high mobility scenario where DT is modeled by a hyper-Erlang distribution, we found that call forced termination probability decreases around 60% as the coefficient of variation (CoV) and skewness of DT simultaneously change from 1 to 20 and from 60 to 2, respectively. Also, numerical results confirm that as link unreliability increases the forced termination probability increases while both new call blocking and handoff failure probabilities decrease. Numerical results also indicate that for low values of skewness, performance metrics are highly sensitive to changes in the CoV of either the IT or DT. In general, it is observed that system performance is more sensitive to the statistics of the IT than to those of the DT. Such understanding of teletraffic engineering issues is vital for planning, designing, dimensioning, and optimizing mobile cellular networks.

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Channel holding time in mobile cellular networks with heavy-tailed distributed cell dwell time

Cited by 9 publications

References 12 publications

Modeling and theoretical performance analysis for dynamic spatially distributed energy-based spectrum sensing in Cognitive Radios over shadowed fading channels in Public Safety Networks

Modeling and theoretical performance analysis for dynamic spatially distributed energy-based spectrum sensing in Cognitive Radios over shadowed fading channels in Public Safety Networks

Energy-based cooperative spectrum sensing for emergency communications over fading channels in Cognitive Radio public safety networks

Performance Sensitivity to the High-Order Statistics of Time Interval Variables in Cellular Networks

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