The Local Delay in Mobile Poisson Networks

Abstract

For communication between two neighboring nodes in wireless networks, the local delay is defined as the time it takes a node to successfully transmit a packet. Previous research focuses on the local delay in static or infinitely mobile Poisson networks with ALOHA. In this paper, we extend the local delay results to Poisson networks with finite mobility. The results obtained show that mobility helps reduce the local delay. Bounds of the local delay in mobile Poisson networks are derived for different mobility and transmission models. The phase transition that marks the jump of the local delay from finite to infinite is also characterized.

On the Stability of Static Poisson Networks Under Random Access

“…The method is widely adopted in the literature because it is analytically tractable and reflects the randomness in the practical deployment of wireless network [23], [24]. The works related to static Poisson networks include the analysis of the interference correlation [25], [26] and the local delay, which is defined as the number of time slots required for a node to successfully transmit a packet [27]- [30]. In this line of research, an implicit assumption is that the networks are backlogged.…”

HetNets With Random DTX Scheme: Local Delay and Energy Efficiency

“…The work in [18] extended the results to the case of finite mobility. [19] proposed a new model to evaluate the local delay by using joint interference statistics, which characterized different degrees of temporal dependence.…”

On the Impact of Coordination on Local Delay and Energy Efficiency in Poisson Networks

“…The general framework for local delay analysis has been established in [1][2] [3], wherein a notable observation is that for static networks, local delay may have diverging mean and variance, in the absence of coordination. The work in [4] evaluated the local delay for the case of finite mobility. In [5], power control policies were proposed to minimize the local delay.…”

“…Here we assume that when a transmitter is not scheduled to transmit it enters a sleep mode, which is a favorable condition for energy efficiency 4. This scaling also exists when the coordinating transmitters serve n + 1 receivers through round-robin time division, because then the mean local delay for each receiver is increased by a factor of n + 1.…”