Research On Wireless Network Connectivity Based On SINR Model

The connectivity is the most basic requirement of communication in wired and wireless networks. Compared with wired networks, wireless network node distribution by the surrounding environment, its node power, and the influence of the malicious attack or damage, making the network connectivity is uncertain. Therefore, it is more challenging that compared with the wired network to wireless network connectivity studying. So in wireless networks, each sent the power needs to be large enough, so that the environment disturbance and other sender interference at the same time, make its nearest the receiver can receive transmission signal.In this paper, we set up such a network, in which all nodes with independent identically distributed evenly within a network area. When the nodes number tends to infinity, the node transmission power within a asymptotic will almost certainly able to keep the network connected.First, consider the CSMA network in the carrier listening two senders not within the scope of threshold activities at the same time, this article is based on CSMA network mechanism of single channel interference model is set up. Then, we through the network topology and the interference model calculated when node tends to infinity, launch the sending power within a asymptotic will almost certainly able to keep the network connected. Because under the SINR model, we consider the signal at the receiving end to receive the power and the other at the same time send signals to the sum of interference and noise environment. Signal strength increases as the sending end distance attenuation, it is determined by the path loss index a.When all have the same sending power transmission end, on the one dimensional grid( a(29)1) color number you need is a constant. Similarly, in a two-dimensional grid(a(29)2) the number of need is a constant.In CSMA wireless networks, within the scope of the carrier sensecR, but because of the interference does not exist and are sending message node activities at the same time. Thus, in a two-dimensional grid, carrier listening range is greater than or equal to the number of edge color,which can constitute a CSMA strongly connected graph to ensure CSMA the connectivity of the network. On this basis, we can have a result that in a one dimensional grid and two-dimensional grid nodes under the power of an upper bound respectively.Through a large number of relevant research work, we basically achieved the following results: have n nodes in a particular area and uniform CSMA(independent identically distributed network, when this network to keep gradual will almost certainly connected, the a value range of transmission power P.In the power range, the network can keep asymptotically almost inevitably connected. In using dyeing link form a connected graph(node to connect),establishing a SINR strongly connected graph research the number of colors. At the same time,we show that if in one dimensional grid a(29)1, the number of colors required in two-dimensional grid a(29)2 is constant. For SINR model under the network of CSMA due to carrier listening distance constraints for this network SINR diagram node of the same color of the link between the Euclidean distances is greater than or equal tocR guarantee for successful transmission of information between nodes. This article mainly introduces the research on wireless sensor network, the network connecting the relevant condition, when the connected sensor nodes and the future research direction of power levels, etc.