Analytical Model and Performance Analysis of Linear Antenna Array Pattern Synthesis with Broad Nulling

This thesis studies a linear antenna array pattern synthesis with broad nulling implemented by minimizing the pattern distortion metric with discrete null constraint points. An empirical analytical model is developed for the average nulling depth within the broad null sector in terms of the array size, the number of discrete null constraint points, the null sector width, and the quiescent beam sidelobe ratio. Next, empirical models for the maximum achievable average nulling depth and the minimum null constraint point spacing are also presented. In addition, performance analyses of beam pattern distortion and beam directivity in terms of model and system parameters are discussed. These models and the insights on the impact of system parameters will find useful beam synthesis applications for devices with low complexity requirement.