V.N. Tyapkin - Candidate Science (Engineering), associate professor of Military-training center, Siberian federal university (SFU). E-mail: dmitriev121074@mail.ru D.D. Dmitriev - Candidate Science (Engineering), professor of Military-training center, associate professor, Siberian federal university (SFU). E-mail: tyapkin58@mail.ru N.S. Kremez - senior lecturer, Siberian federal university (SFU). E-mail: NKremez@sfu-kras.ru

Study ways of increasing the protection of satellite navigation systems from interference has been widely discussed both in the domestic and in the foreign press. The most promising are currently recognized methods of interference mitigation on the basis of spatial selection provided by multi-element phased array. A phased array with a digital implementation pattern provides its formation with dips in the direction of interference and highs in the direction of navigation spacecraft. To the greatest extent on the speed of the transition process and the complexity of the technical implementation of the phased array up to the control algorithm. The most promising algorithms of control may be considered recursive algorithms, as at each iteration to ensure the best calculation of the weighting values (optimal in the sense of minimizing the standard deviation), whereas the algorithms of the minimum standard deviation, minimum and average noise random search form only asymptotically optimal weighting values. Synthesized in this study the algorithm without dedicated channel allows for closer to optimal output effect for an adaptive number of iterations equal to 2-m, where m - number of sources of interference. Number of complex multiplication operations at each step of the implementation of the order 3M2 + M. In adaptive systems, spatial selection of a dedicated channel used by the primary channel connected to the main antenna and the more channels connected to the compensation antennas. The number of channels of compensation determined by the number of interferers. In the case of use as a receiving antenna system is the phased array, for example, in determining the spatial position of the object, the antenna of the phased array can be used as an extra. A study mathematical modeling of the synthesized algorithms for a variety phased arrays, and interference environment and their comparative analysis with a gradient algorithm showed their high efficiency. Convergence time of the developed algorithms greatly exceeds the convergence of gradient. For example, in the eight-element phased array under the impact of the four sources of interference recursive algorithm goes to the optimum value of the signal-to-noise ratio on the fifth step of adaptation, and the gradient - only to step 400.