Evaluating Threshold Distance by Using Eigen Values and Analyzing Its Impact on the Performance of WBAN

Energy Efficiency is the prime concern for Wireless Body Area Network (WBAN). In this paper, a mathematical model for energy consumption per bit has been formulated. The association and dependence of energy on separation distance (d) between transmitting and receiving node, received power, data rate and pathloss has been evaluated. Based on the tradeoff between energy consumption per bit and data rate, a threshold distance (dth) is calculated using eigen values. Further, the performance of proposed WBAN model has been analyzed with respect to threshold distance. Simulation results support the value for threshold distance calculated and reveals that below dth, energy consumption per bit and data rate varies linearly. However, beyond dth data rate and energy consumption per bit exhibits an exponential increase. To signify the role of threshold distance a comparative analysis has been done for energy consumption per bit with different data rates supported by Ultra-Wide Band with respect to distance. It is revealed that beyond threshold distance the WBAN will be energy inefficient.