Distributed dual beamforming for randomly distributed sensors using LS estimation

Beam forming is being used in sensor networks to enhance it communication range. Dual beam can be formed from two sets of sensors array wherein each set forming beam pattern in different direction. When same data need to be transmitted to two different directions, one set of sensors array can be used to form dual beam. The random distribution of sensors causes the beam pattern deviation. The random distribution has been modeled as uniform and Gaussian variables. A compensation technique to reduce the errors has been proposed in this paper. It has been modeled as joint optimization problem and solved by LS estimation method. This above technique has been applied to various geometry such as Uniform Linear Array(ULA) Uniform Circular Array (UCA), Uniform Elliptical Array(UEA) and Uniform Planar Rectangular Array(UPRA) with random perturbation and it is observed that dual beamforming from single set of array has efficient distribution of energy and also enhanced data transmission rate.