The process and principle of stimulated Brillouin scattering(SBS) signal generation are analyzed. A novel ring configuration for generating high-order Brillouin scattering signals is proposed. The first-order to sixth-order Stokes signals are obtained by the experiment. Based on this new method,the sideband signal modulated by Mach-Zehnder modulator(MZM) is selectively amplified by the gain spectrum of the corresponding fourth-order Stokes signal. Finally,the amplified signal is beat with the optical carrier signal to generate a high-frequency microwave signal. This technique can be utilized to generate microwave signals with frequency of n (1≤n≤6) times of 11 GHz using only one erbium-doped fiber amplifier(EDFA). This method has the advantages of low cost and high efficiency of frequency multipling. The feasibility of this method is demonstrated by simulation and experiment.