A Novel Approach for Digitizing Series Integrators and Its Application to Implementation of Recursive Digital Filters with Linear Phase.
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概要
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A novel approach is proposed to digitizing series integrators which are often used in modeling dynamical system and in realizing controller and filiter. The so-called causal signals are treated, and sampling techniques in the time domain are availed. Using the z-transform, the closed expression is presented which states equivalence between analog and discrete systems for series integrators. This follows that every analog integrator in a series connection has an equivalent discrete description and vice versa. The procedure is given for the implementation of the every digital integrator deduced from the description. And, an approximation method is proposed to reducing the number of operational elements employed in the implementation of higher order cases. The method is done by using a delayed integrator placed at the first stage and bilinear integrators arranged at the following stages in the digital series connection, respectively.The approach is applied to digitizing the Lagrangean B-filter being formed of feedback system. The impulse response of the mth-order B-filter holds a non-negative even function symmetry, and all its derivatives of order up to (m-1) are continuous. Hence, the B-filters have linear phase properties in nature. Therefore, a novel type of the recursive digital filter added interpolating operations derived from the B-filter takes perfectly linear phase.Computer simulations have verified the applicability of these techniques. Those are illustrated by some numerical examples.
- 公益社団法人 計測自動制御学会の論文
公益社団法人 計測自動制御学会 | 論文
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