OPTIMAL SYNTHESIS OF 2ND-ORDER STATE-SPACE STRUCTURES FOR DIGITAL-FILTERS

被引：103

作者：

JACKSON, LB

LINDGREN, AG

KIM, Y

机构：

[1] Department of Electrical Engineering, University of Rhode Island, Kingston

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS | 1979年 / 26卷 / 03期

关键词：

D O I：

10.1109/TCS.1979.1084623

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Sufficient conditions are derived for a second-order state-space digital filter with L2 scaling to be optimal with respect to output roundoff noise; and from these, a simple synthesis procedure is developed. Parallel-form designs produced by this method are equivalent to the block-optimal designs of Mullis and Roberts. The corresponding cascade-form designs are not equivalent, but they are shown, by example, to be quite close in performance. It is also shown that the coefficient sensitivities of this structure are closely related to its noise performance. Hence, the optimal design has low-coefficient sensitivity properties and any other low-sensitivity design is a good candidate for near-optimal noise performance. The uniform-grid structure of Rader and Gold is an interesting and useful case in point. © 1979 IEEE

引用

页码：149 / 153

页数：5

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