A Method for Generating Weighting Coefficients of Successively-corner-cut Phased Array

To improve the utilization of T/R modules, phased array antennas in engineering often adopt array configurations with single or successive multiple corner-cut operations. Although existing pattern optimization methods for irregular arrays can be used to calculate weighting coefficients for corner-cut arrays, they generally suffer from high complexity, which is unfavorable for engineering implementation. To address this issue, this paper proposes a weighting coefficient generation method for successively corner-cut arrays based on partitioned global scaling. Starting from a full rectangular array and using the invariance of row and column projections of the weighting coefficient matrix as constraints, this method calculates a unified scaling factor for each partition by solving a system described with linear equations, thereby achieving partitioned compensation after a single corner is cut out. The successively corner-cut array is then decomposed into a series of corner-cutting process, and the weighting coefficients for the successively corner-cut array are obtained through successive corner-cutting and compensation operations. Simulation experiments on a 12-by-16 array with 3 corners cut out, reducing the number of elements by 27%, demonstrate that this method can generate sum and difference beam weighting coefficients for successively corner-cut arrays while maintaining consistent main lobe width, sidelobe level, and angle discrimination curve characteristics compared to the full rectangular array on the principal planes. The method is straightforward and easy to implement, with a complexity of O(N), offering significant value for engineering applications.