Nonconcentrated Stabilization of A Modified Coupled Form Digital Filter

概要

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We find the regions in the parameter plane where a modified coupled-form digital filter is globally asymptotically stable using the constructive algorithm. The authors of suggested this specific digital filter for further study. In fixed-point arithmetic, quantization can be perform by substituting the nearest possible number that can be represented by the limited number of bits. This type of nonlinear operation is called a round off quantizer. Another possiblity consists of discarding the least significant bits in the number. If the signals are represented by sign and magnitude then we have a magnitude truncation quantization nonlinearity. If an overflow occurs, a number of different actions may be taken. If the number that caused the overflow is replaced by a number having the same sign, but with a magnitude corresponding to the overflow level, saturation overflow is obtained. Zeroing overflow substitutes the number zero in case of an overflow. In two's complement arithmetic, the most significant bits that caused the overflow are discarded. IN this case two's complement overflow is used, and overflow in intermediate results don't cause errors, as long as the final result doesn't have overflow. Another Way of dealing with overflow is the triangular overflow as proposed by Eckhardt and Winkelnkemper.
一般社団法人情報処理学会の論文
1986-10-01