The movement of sensors within cluster in WSN is Elliptic in nature

A wireless sensor network (WSN) has to maintain a desirable sensing area of coverage and periodically report sensed data to the administrative center (i.e., base station, router etc.). Then the coverage area of the movement of sensors and lifetime are two important problems in a WSN due to constraint of limited battery energy. Sensors are usually deployed randomly in coverage area of interest and therefore the sensor tracking become one of the biggest challenge in Wireless Sensor Networks (WSNs). Many works done to track the sensor nodes in WSNs and all previous theoretical analyses on the coverage area and lifetime are primarily focused on the random uniform distribution of sensors. Here is depicting a real analysis in WSNs, In this paper, we try to find out the coverage area of sensors and best of our knowledge we first provide a mathematical and analytical framework for the coverage area of the deployment sensor nodes in a WSN that follows a multivariable normal distribution or Gaussian distribution. The multivariate normal distribution is often used to describe correlated real-valued random variables each of which clusters around a mean value which gives the monitored region. We determine the randomly deployed sensor nodes, follows an Elliptic area in wireless sensor network.