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Efficient time domain synthesis of pipelined recursive filters

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2 Author(s)
Chien-Piao Lan ; Dept. of Electron. Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan ; Chein-Wei Jen

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-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

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IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing  (Volume:41 ,  Issue: 9 )