Directivity of self-phased arrays in conditions of multipath propagation

This paper gives an analysis of the influence of the working signal channel on the directivity of self-phased arrays in conditions of multipath propagation. A general method for calculation of the directivity of such an array has been proposed. Some limitations of the approach proposed before have been carried out and overcome. The change of signal amplitude because of multipath propagation and variation in phases of the total and direct signals as well as the change in phase of the pilot carrier have been taken into account. The assumption about noncorrelation of phase variation from element to element is not necessary for the method proposed. It has been shown that this phase variation can substantially affect the array directivity and condition. The results given in the paper are compared with those obtained before. The connection between self-phased array directivity under conditions of multipath propagation and elliptical integrals of the 2nd kind has been established.