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Signal-Flow-Graph Identities for Structural Transformations in Multirate Systems

Signal-flow-graph (SFG) transformations by means of identities are frequently used to obtain efficient structures. In contrast to timedomain approaches these transformations are graphical and therefore easier to handle. In this paper well-known noble identities [2] for multirate signal processing are revisited and extended. To this end upand downsamplers with arbitrary integer phase shifts are introduced. As an application, a novel zdomain approach to efficient fractional sample rate conversion is given.