The computational requirements of digital signal processing are summarized in terms of a small set of basis functions. These functions represent data independent computational operation, classes that vary only with respect to a characteristic set of application dependent parameters. The representation of processing requirements in terms of the basis functions provides a natural partitioning of system functions at a level amenable to implementation with VLSI component technology. Based on such a system partitioning an established design methodology for implementing concurrent multiple processor systems can be utilized to realize high performance digital signal processing systems that take advantage of advanced component technology. The thesis is presented in summary form with explicit references to the attached manuscript of a complete book, co-authored with Professor B.A. Bowen, which grew out of the initial thesis research.