V. V. Abramenkov, О. V. Vasilthenko

In the article the structure of correlation matrix of the interference and Gauss multipliers optimal vector depending on correlation between the number of interferences and the number of compensation channels of the multichannel measure is investigated of. The structure is considered for situations when the number of noisy signal is equal to, less and more the number of compensation channels. The possibility of using the correlation matrix of the interference for the decision of problems of measuring the number of the objects and their angular coordinates is considered. The mentioned in the article analytical expressions let to make the following conclusions: 1. The correlation matrix of the interference is nongenerate and has the back matrix if the number of sources of interferences is more or equal to the number of compensation channels. Otherwise the correlation matrix of the interference has no back matrix; 2. Gauss multipliers optimal vector does not depend on amplitudes of noisy signals and it is defined only by values of characteristics of the antennas directivity of the space channels in the directions on sources of interferences, if the number of sources of interferences is less or equal to the number of compensation channels; 3. The independence of Gauss multipliers optimal vector from amplitudes of signals in situations when their number is less or equal to the number of the chosen channels allows to assert that the correlation matrix of the interference and Gauss multipliers optimal vector can be used not only for compensation interferences, but also for the definition of the number of the signals influencing the input of a multichannel measure with the measuring of directions of their arrival. In response of the problem of definition of the number of signals it is necessary consequently to find Gauss multipliers optimal vector for various hypotheses about the number of objects. In response of the problem of measuring the directions of the arrival of source signals, the knowledge of form ХН of reception channels is necessary.