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

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... nnel state information required for transmission. The results of computer simulation allow to evaluate the noise immunity of precoding algorithms based on Grassmannian manifold quantization.