Browsing by Author "LAN, CP"

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EFFICIENT TIME-DOMAIN SYNTHESIS OF PIPELINED RECURSIVE FILTERS
(1994-09-01)
LAN, CP
;
JEN, CW
;
電子工程學系及電子研究所
;
Department of Electronics Engineering and Institute of Electronics
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 resulted 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.