Because of its linearity needs, the direct implementation of the cost effective blind matched filtering technique to multiple input multiple output communication channels was not possible. In this paper we show how to perform the cost effective blind matched filtering technique for these types of communication channels assuming a two-way transmission scenario. For this reason, the blind matched filter and the adaptive filtering blocks, which are required by the so called technique, are adapted for multiple input multiple output case. Besides its structural simplicity, such adaptation does also enable the use of no higher than second order statistics of the received signal for the matched filter identification purposes. Moreover, with the use of the novel receiver, the equalization of the multiple input multiple output channel is performed alongside the matched filter identification stage.