A Fast Exponential Analysis and Variable Projection-Based Method for Linear Array Synthesis

This letter presents a fast exponential analysis and variable projection method to reduce the number of elements in linear phased arrays. The numerical examples given in this work demonstrate a reduction of approximately 20% or 10% in the number of elements, with only a slight decrease in directivity of 0.63 dBi observed for a scan range of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$[-45^\circ,45^\circ ]$</tex-math></inline-formula>. Compared with the combined matrix pencil and Tabu search algorithm, the proposed technique converges in fewer iterations and exhibits <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\approx {\text{5}}$</tex-math></inline-formula> dB reduction in maximum sidelobe level.