Non Parallelism and Cayley-Menger Determinant in Submerged Localization
Anisur Rahman · Advances in Science Technology and Engineering Systems Journal · 2020
This research paper portraits the technique to determine location of submerged nodes with Cayley-Menger determinant and associated problems with non-parallel states.Cayley-Menger determinant is considered to be the usual means to determine the coordinates of the nodes with a single node where the plane of beacon i.e. beacon's surfing plane and the plane created by the deployed submerged sensors are in parallel state.However, this perfect scenario hardly exists in the submerged world; as a result Cayley-Menger determinant may not be used unless proper measurements are taken.This paper addresses this limitation and analyzed the proposed model to deal with this non-parallel state situation.As precise localization is vital for the validity of the sensed data in Underwater Wireless Sensor Networks (UWSNs); exact distance measurement between nodes is an important and crucial in range based localization methods.Proposed method has addressed uncertainty of nonlinear equations as well as how better immunity could be achieved in multipath fading in propagation.Analyzed simulation and experimental results conclude the accuracy of the proposed model with minimal error, where it has been shown that parallelism of the system is not a factor for using Cayley-Menger determinant.Moreover, a single node has been used in the model to localize submerged nodes where none acquires priori familiarity about its position.