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Linear Array Synthesis for the Best Mean‐Square Approximation of Radiation Patterns
Author(s) -
Butler J. K.
Publication year - 1968
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/rds196835447
Subject(s) - square (algebra) , radiation pattern , mathematics , antenna (radio) , radiation , linear approximation , mean squared error , mathematical analysis , optics , physics , geometry , computer science , telecommunications , statistics , nonlinear system , quantum mechanics
A theory of synthesizing linear antenna arrays for the best mean‐square approximation of given radiation patterns is presented in this paper. Element currents and spacings are allowed to vary to achieve the best approximation. Approximations of the given patterns are also made by synthesizing the optimum uniformly spaced arrays. For a given number of elements the non uniformly spaced arrays give better mean‐square approximations than uniformly spaced arrays. The characteristic vector approach is employed for finding the optimum element excitations and spacings.