This paper presents a new multiprocessor system and corresponding scheduling algorithm that can be applied for implementation of fine grain DSP algorithms such as digital filters. The newly proposed system uses one or more shared buses as the basic interconnection network between processors, and fixed amount of clock-skew is maintained between instruction execution of processors. This system not only can handle the interprocessor communications very efficiently but also can explicitly incorporate the interprocessor communication delay time into the multiprocessor scheduling model. This paper also presents a new scheduling strategy for implementing digital filters expressed in fully-specified flow graphs on the proposed system. The simulation result shows that well-known digital filters can be implemented on proposed multiprocessor in which the implementation satisfies the iteration period bound.