Selection Precoding for the Finite-Field Multiplicative Matrix Channel

Michael Cyran, Robert F. H. Fischer, Johannes B. Huber · IEEE Communications Letters · 2014

The finite-field multiplicative matrix channel is a well suited model for random linear network coding in the absence of packet errors and for lattice-coded MIMO transmission utilizing "integer forcing" receivers or transmitters. In this letter, modulo-type precoding for such channels is proposed. Thereby, the channel is not only equalized but by selecting a suited candidate, desired properties of the transmit symbols can be achieved. The operation of selection precoding is explained and its performance is analyzed and demonstrated.

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