Least squares approximation and polyphase decomposition for pipelining recursive filters

Current techniques used in pipelining recursive filters require significant hardware complexity. These techniques attempt to preserve the exact frequency response of the original circuit while seeking to construct a pipelined architecture. We present a technique that relaxes the need to preserve the ex act frequency response and instead considers a least-squares formulation in conjunction with the pipelined architecture. The benefit of this design is that it reduces the complexity of the pipelined circuit immensely, while enabling a simple pipelined architecture based on a polyphase decomposition of the original filter.