on basis of analyzing the essential relationship between the ideal MIMO and multi-path SISO, a non-collaborative virtual MIMO based on STBC and OFDM was proposed to counter the poor security performance and strong dependence on channel estimation of virtual MIMO using user-pairing algorithm. To obtain full diversity gain, a valid pre-encoding for virtual MIMO was implemented at the transmitter by use of the left unitary matrix, which was obtained by singular value decomposing on the channel cyclic matrix. At the receiver, a detection scheme for the virtual MIMO based on a linear STBC decoding with low complexity and the Fourier transform pre-decoding was also presented to achieve the transmission effect being similar to those of parallel sub-channels. Although the instantaneous channel state information was unavailable at both sender and receiver, the single-antenna users even gain the multiple antennas transmission effect in a non-cooperative way. Simulation results show that the proposed virtual MIMO achieves similar performance on the capacity and bit error rate to ideal MIMO. These results verify its effectiveness and superiority.