A novel Farrow Structure with reduced complexity

Abstract

The Farrow Structure (FS) has become a standard for implementing polynomial-based interpolation filters. Several improvements have been made to enhance the performance and efficiency of the original structure. New structures have evolved from these developments. These new structures include the Modified Farrow Structure (MFS) and the Generalized Farrow Structure (GFS). The MFS takes advantage of linear phase, requiring approximately half the number of multiplications of the FS. The GFS employs oversampling to simplify the polynomial-based filter. In this contribution a novel Farrow Structure is derived. The new structure is termed the Generalized Modified Farrow Structure (GMFS). Also introduced is a special case of the GMFS, namely, the Dual Phase Modified Farrow Structure (DPMFS). It is shown that the DPMFS combines the advantages of both the GFS and MFS providing greater performance at reduced implementation cost.