P.N. Bashly, A.S. Pomysov, E.A. Samojlin, A.N. Novikov

The development of modern radio systems (RTS) is on the way of development of higher and higher frequency bands, which is associated with the need to address new challenges in radar, navigation, communications, and other solutions on the background of the traditional problems of radio engineering, for example, to ensure immunity of electronic means (RECs). In this sense, the current and future role of RES significantly increased the antenna system, which, as the primary link signal processing, to a large extent determine the quality of the functioning of the RECs in general. Recently, much has changed views on the role of an antenna in RES, since the antenna system in addition to the basic problem of reception / transmission of electromagnetic waves charged with the processing of signals in connection with which the notion of the antenna signal processing In article on the basis of generalised power functional the problem of synthesis of broadband multipurpose arrays with complex management with application of the theorem of extreme properties of characteristic numbers of a bunch of hermitian forms is formulated and solved. The problem of matrix synthesis of broadband arrays is formulated and solved in most general view. The solution of a problem of synthesis broadband multipurpose antenna array with complex management is gained taking into account additional linear restrictions on direction characteristic form, and also restrictions on number of elements with adjustable complex amplitudes of currents.