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We propose a new multirate optical communication system using optical fast frequency hopping CDMA (OFFH-CDMA) for multimedia applications in which different quality of services (QoS) are required. In this system, each user needs only to transmit the minimum required power to achieve a desired signal to interference ratio (SIR). We assign different power levels to each rate through an average interference-based power control algorithm using variable optical attenuators. Such an approach minimizes interference and at the same time provides variable QoS constraints for different traffic types. The simulation shows a great improvement in the system capacity.