As the conventional matrix converter has the drawback of low voltage transfer ratio, a novel matrix converter referred to as a boost AC-DC-AC matrix converter is proposed. The basic configuration of the new topology and its fundamental principles are firstly introduced, the analytic expression concerning functional relation of voltage transfer ratio to duty cycle is analyzed, and the design method of double-loop control strategy adopted is expounded particularly. Finally the validity and feasibility of the new topology are tested by simulation, and the results indicate that the modulation of voltage transfer ratio and output frequency can be realized optionally through this new converter and an ideal sine output wave with little distortion can be gotten, so that the inherent drawback of conventional matrix converter having low voltage transfer ratio is solved successfully. This work may give some hints on further technological research and engineering application.