In this paper a novel topology for single phase Z-source matrix converter is presented. Introduced structure has ability of direct ac-ac converting without frequency restriction. This means presented structure can generate wide range of frequency without considering input frequency. In addition the number of switch in this topology is reduced to just four switches that is caused lower loss and higher efficiency in comparison with pervious topologies. Furthermore novel switching pattern is applied to achieve better performance. This method is achieved by combining PWM and PAM methods. Presented converter is solved frequency and amplitude restriction for output voltage of this type of converters. Low frequency harmonic problem is also solved by using this topology. Consider that the mentioned problems are the main drawbacks of the previous single phase ac-ac converters. Simulation result for 60 Hz input voltage and different output frequencies presented and compared with previous research results.