Canonical MDM pipelined IIR digital filters

In this paper, we perform a thorough performance comparison between existing recursive digital filter pipelining methods and the canonical Minimum Denominator-Multiplier (MDM) pipelining technique that permits hybrid pipelined solutions between the clustered look-ahead and scattered look-ahead techniques introduced by Parhi and Messerschmitt. The new MDM technique makes use of asymmetrical scattering in addition to symmetrical scattering in order to achieve substantially fewer added multipliers than the minimum order augmentation technique of Lim and Liu. The MDM technique always results in a stable pipelined filter, and provides a unifying approach to pipelining recursive digital filters.