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Orthogonal Precoding for Systems with Spatial Multiplexing with a Linear Receiver

  • THEORY AND METHODS OF SIGNAL PROCESSING
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Abstract

An approach is proposed for the development of algorithms for orthogonal precoding to achieve the effect of full diversity in communication systems with a MIMO channel with linear processing on the receiving side. The developed algorithms can be used for any configuration of the MIMO channel and are implemented in the form of fast orthogonal transformation vectors \({{N}_{{{\text{tx}}}}}\) of size \(\left( {{{N}_{{{\text{tx}}}}} \times 1} \right)\) each (\({{N}_{{{\text{tx}}}}}\) is the number of transmitting antennas), and the distribution of the transformed symbols of these vectors over different cycles and transmitting antennas. The results of modeling the proposed precoding algorithms are presented, which showed that their use allows obtaining a gain of 2–5 dB, depending on the configuration of the MIMO system. In this case, the number of operations in the implementation of a linear receiver increases only by \({{N}_{{{\text{tx}}}}}{{\log }_{2}}{{N}_{{{\text{tx}}}}}\), i.e., the complexity of the receiver remains virtually unchanged.

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Bakulin, M.G., Kreindelin, V.B. & Reznev, A.A. Orthogonal Precoding for Systems with Spatial Multiplexing with a Linear Receiver. J. Commun. Technol. Electron. 66, 1346–1353 (2021). https://doi.org/10.1134/S1064226921120020

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