This paper introduces a miniaturized antenna structure with a complex substrate, which is composed with CER-10 and meta-material. This complex substrate influences to the impedance value of antenna system, then this can make the antenna size reduction. The proposed antenna structure reduces the conventional antenna size by 66.7 % with respect to pure meta-material substrate reduction rate of 40 %. The proposed antenna provides 130 MHz bandwidth with the center frequency 1.8 GHz, and the total radiation efficiency of proposed antenna structure is 48.37 %. The S-parameter characteristic variation for some parameters, such as the dipole length, distance between 2 dipoles and the height of meta-material has been analyzed. For the detailed analysis of proposed antenna, the equivalent circuit model has been proposed, and has been verified by checking the S-parameter variation according to the variation of important parameters. For the effect of miniaturization on the MIMO environment, the channel capacity comparison in terms of the integration and mutual coupling have been analyzed. With the proposed antenna, the increase of integration and reduction of mutual coupling results in the increase of channel capacity.