Completed analysis of cellular networks with PH-renewal arrival call

Wang, Yung-Chung; Tseng, Chwan-Lu; Chu, Ren-Guey; Tseng, Sheng‐Tsaing

doi:10.1016/j.comcom.2008.12.016

Cited by 3 publications

(4 citation statements)

References 19 publications

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“…In this section, we give some examples to show the effects of the general phase type (PH) distribution on mobile cellular networks.We adopt the mobile cellular networks model from [7]. Let the CHT be 200s.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

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Performance Analyses of MCN with PH-Renewal Arrival Call and Services

Lv¹,

2014

AMR

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For the mobile cellular networks (MCN), a new analytical model which is the PH-renewal process to model is developed in this paper as a cost-effective performance tool to investigate the performance of the MCN. To the best of our knowledge, we have not found to analyze the performance of the MCN by the pure PH-renewal models. We apply the matrix-analytic approach and the PH-renewal process to explore the performance measure of the drop and block probabilities in the MCN. The numerical results show that the proposed analytical approach is more efficient than others.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

“…are the Kronecker product and Kronecker sum, respectively [5,7]. Similarly, the channel occupancy time of handoff call is defined as…”

Section: Channel Occupancy Timementioning

confidence: 99%

Performance Analyses of MCN with PH-Renewal Arrival Call and Services

Lv¹,

2014

AMR

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“…9. In each graph we represent the transmission efficiency (η g , defined in (24)) and the interference factor (I f , defined in (14) functions of the transmission length (i.e, the message length); a deterministic distribution of the transmission length is used in this case. Besides, in each graph we plot results for the case in which the SU cannot sense during transmission (φ 2 = 1, θ 2 = 0), and also for the case where sensing during transmission is possible and has the same accuracy as when the SU is not transmitting (φ 2 = φ 1 , θ 2 = θ 1 ).…”

Section: Efficiency When Incomplete Transmissions Are Restartedmentioning

confidence: 99%

“…The duration of transmissions, sensing periods, and intervals between consecutive sensing periods are modeled by general phase type distributions [22]. In the modeling literature, it is acknowledged that the phase type distribution provides an excellent balance between tractability and applicability (it is general enough to fit empirical data and there exist algorithms for this purpose) [24]. Moreover, in the current 3 paper we assume that sensing is imperfect and consider two types of misdetections and false alarms.…”

Section: Introductionmentioning

confidence: 99%

Discrete time analysis of cognitive radio networks with imperfect sensing and saturated source of secondary users

Alfa

Pla

Martínez-Bauset

et al. 2016

Computer Communications

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Sensing is one of the most challenging issues in cognitive radio networks. Selection of sensing parameters raises several tradeoffs between spectral efficiency, energy efficiency and interference caused to primary users (PUs). In this paper we provide representative mathematical models that can be used to analyze sensing strategies under a wide range of conditions. The activity of PUs in a licensed channel is modeled as a sequence of busy and idle periods, which are represented as alternating Markov phase renewal processes. The representation of the secondary users (SUs) behavior is also largely general: the duration of transmissions, sensing periods and the intervals between consecutive sensing periods are modeled by phase type distributions, which constitute a very versatile class of distributions. Expressions for several key performance measures in cognitive radio networks are obtained from the analysis of the model. Most notably, we derive the distribution of the length of an effective white space; the distributions of the waiting times until the SU transmits a given amount of data, through several transmission epochs or uninterruptedly; and the goodput when an interrupted SU transmission has to be restarted from the beginning due to the presence of a PU.

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