In conventional transmission schemes, the transmitter algorithms are a priori given, whereas the algorithms to be used by the receivers have to be a posteriori adapted. Such schemes can be termed transmitter (Tx) oriented and have the potential of simple transmitter implementations. The opposite to Tx orientation would be receiver (Rx) orientation in which the receiver algorithms are a priori given, and the transmitter algorithms have to be a posteriori adapted. An advantage of the rationale Rx orientation is the possibility to arrive at simple receiver structures. In this paper, linear versions of the rationales Tx orientation and Rx orientation are applied to radio transmission systems with multiantennas both at the transmitter and receiver. After the introduction of adequate models for such multiple-input multiple-output (MIMO) systems, different system designs are evaluated by simulations, and recommendations for proper system solutions are given.