On the maximum numbers of independent adjustable parameters, peaks, and valleys in arbitrarily shaped linear array factor

Abstract

AbstractThe lines of reasoning on the maximum numbers of independent adjustable parameters, peaks, and valleys in an arbitrarily shaped linear factor are clearly stated and the corresponding characteristics table is also completely constructed in this article. The array factor may be either unsymmetrical or symmetrical, and with arbitrary odd or even number of exciting currents. So far as the author knows, this table appears for the first time in the open literature, and it is believed to be of much help to the designers of equispaced linear antenna arrays when numerically optimizing the differently specified peak and valley levels of the array factor by adjusting the available independent parameters related to the exciting currents in the element antennas. When the formulas tabulated in the array factor characteristics table are used to compare with the synthesized results using the well‐known numerical method for optimizing the synthesis of an arbitrary shaped array factor by Orchard, Elliott, and Stern [1] and Elliott [2], they show exact agreement. © 1992 John Wiley & Sons, Inc.