To address the challenges of structural complexity and limited tuning flexibility in conventional multi-passband microwave photonic filters, this paper proposes a novel scheme based on Stimulated Brillouin Scattering (SBS). The proposed scheme employs a single-sideband suppressed-carrier modulator to load multiple independent radio frequency (RF) sinusoidal signals onto a single pump laser, which generates several equivalent pump sidebands. Each sideband then induces a distinct Brillouin gain and loss spectrum within an optical fiber, resulting in the creation of multiple passbands in the RF domain. The functional feasibility of the proposed scheme is verified through simulation experiments conducted on the OptiSystem platform. Compared to conventional approaches, the proposed scheme features a simpler structure and higher reconfigurability, demonstrating significant potential for applications in multi-frequency communication, radar, and electronic warfare.