Generalization of matrix pencil methods to the synthesis of wideband aperiodic linear arrays with frequency-invariant patterns

The problem of generalizing the matrix pencil methods (MPM) to the synthesis of wideband aperiodic arrays with frequency-invariant (FI) patterns is considered. A new pattern sampling strategy is presented to obtain the multiple pattern data of different frequencies having the common poles. The generalized MPM (GMPM) and its forward-backward version (GFBMPM) are developed to find the best common element positions for different frequencies, which can significantly reduce the number of elements required for the desired pattern shape. Numerical examples are presented to validate the effectiveness and advantages of the proposed methods.