Efficient time domain synthesis of pipelined recursive filters
Chien-Piao Lan, Chein-Wei Jen · IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing · 1994
An efficient technique is developed for the synthesis of pipelined recursive filters directly from the time domain specifications. Based on the modified least-squares approximation, the pipelinable denominator form that contains only the powers of z/sup -R/ is designed inherently by expressing the design criterion in terms of only the nonzero denominator coefficients and a final design is derived. Due to the lack of the conventional transformation overheads, the multiplications needed are fewer in the resulting filters. Moreover, we introduce a new kind of companion matrix that characterizes the stable properties of pipelined recursive filters. Using this result, we prove that the proposed direct synthesis method can always guarantee the stability.>