ROUNDOFF NOISE AND OVERFLOW IN NORMAL DIGITAL-FILTERS

被引：49

作者：

BARNES, CW

机构：

[1] School of Engineering, University of California at Irvine

来源：

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

关键词：

D O I：

10.1109/TCS.1979.1084624

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：

Minimum-norm realizations of fixed-point digital filters provide guaranteed immunity from a utonomous overflow limit cycles. This paper presents an analysis of the relationship between dynamic range and roundoff noise for a class of minimum-norm realizations called “normal.” For normal realizations, the eigenvectors of the system matrix form an orthogonal basis for the system state space. An explicit expression for minimum roundoff noise, under an 12 dynamic range constraint, is derived, and means for achieving this minimum are given. The simple expression for minimum roundoff noise permits easy determination, by trial and error, of optimal subfilter structures. Explicit expressions for the state-space parameters of optimal second-order normal filters are given. © 1979 IEEE

引用

页码：154 / 159

页数：6

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