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Multiple antenna systems MIMO (Multiple input multiple output) are widely used in LTE-Advanced mobile systems and in the IEEE 802.11 radioaccess standards. In the international standard of 3GPP for mobile communication systems 5G New Radio (Release 15), MIMO systems are regulated as a fundamental technology of the new Air interface. In this paper, we consider algorithms for quantization of information about the channel state using Grassmann manifolds, which significantly reduce the amount of channel state information required for transmission. The results of computer simulation allow to evaluate the noise immunity of precoding algorithms based on Grassmannian manifold quantization.