Fractals and Wavelets Based Energy Analysis of Cost-Balanced LEACH Sensor Network

Wireless Sensor Networks(WSNs) have made significant strides in recent years owing to their growth in terms of equipment and cost reduction. Several protocols have been designed, based on the application and network architecture. The LEACH (Low Energy Adaptive Clustering Hierarchy) mechanism is one of the most energy-efficient solutions in WSN environments. This hierarchical protocol aggregates and forwards data from cluster members to a fixed sink node using the cluster head feature of the nodes. We propose a new family of routing mechanisms called CB-LEACH by introducing movement possibility to the sink node and balancing the cluster head election decision based on the distances between the nodes and on the remaining energy of the potential cluster head candidates. We introduced the Hausdorff dimension, memory exponent, and common metric of fractality metrics to characterize the new routing mechanism It is proven that these metrics can highlight the most important features of the newly proposed CB-LEACH system