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In this paper, the principle of phase modulation (PM) and Brillouin phase modulation to amplitude modulation (AM) conversion are analyzed. And a novel ring configuration to generate high order Brillouin scattering signals is proposed. The first-order to seventh-order Stokes signals are obtained by the experiment. Based on this new method, the sideband modulated by PM is selectively amplified by the gain spectrum of the corresponding Stokes. Finally, the amplified signal is beat with the optical carrier signal and other side-band signals to generate high frequency microwave signals. This technique can be utilized to generate microwave signals with frequency of n times of 11 GHz using only one laser. This method has the advantages of low cost and high efficiency of frequency multiple. And the feasibility of this method is demonstrated by simulation and experiment.