A proposal for the multivalued modulation system based on the projection to subspace

A communication system using the sequence that the orthogonal basis in m-dimensional space is formed by projecting, in the n-dimensional space, is proposed. As a symbol for conventional communication, it seems to be advantageous in terms cf results to orthogonalize, especially, in relation to the error rate. But, it is possible to reduce the error rate using the communication system in this report by using a symbol which is not specially orthogonalized. In this report, the communication system is described, and it is evaluated on the performance from the perspective of error rate and communication speed.