We design a network of four ergodic cellular automaton (CA) oscillators coupled by impulse radio (IR) sequences based on a wireless central pattern generator (CPG). We implement the network by using a field programmable gate array (FPGA), and experiments result that the network is able to show in-phase synchronization. Then, it is discussed how the results of this paper will contribute to the development of a wireless walk support device based on a wireless CPG.