Two-Stage-Based Polyphase Structures for Arbitrary-Integer Sampling Rate Conversion

This brief derives efficient two-stage-based polyphase structures for arbitrary-integer sampling rate conversion. For even-integer conversions, the overall structures correspond to parallelized conventional two-stage structures, but the derivations in this brief offer further insights when comparing the two cases of odd- and even-integer conversions. For the class of linear-phase finite-length impulse response th-band filters, it is then demonstrated through design examples that conversions by odd factors are in fact more efficient than by even factors.