State-Space Realization of Adaptive IIR Notch Digital Filters with Unbiased Parameter-Estimation

被引：0

作者：

Hinamoto, Yoichi ^{[1
]}

Nishimura, Shotaro ^{[2
]}

机构：

[1] Natl Inst Technol, Dept Elect & Comp Engn, Kagawa Coll, Takamatsu 7618058, Japan

[2] Shimane Univ, Matsue 6908504, Japan

来源：

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES | 2024年 / E107A卷 / 11期

关键词：

adaptive notch digital filter; fixed step size; gradient-descent method; parameter-estimation bias; simplified iterative algorithm; stability; state-space realization; CONSTRAINED POLES; ALGORITHM;

D O I：

10.1587/transfun.2023EAP1140

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

A state-space approach for adaptive second-order IIR notch digital filters is explored. A simplified iterative algorithm is derived from the gradient-descent method to minimize the mean-squared output of an adaptive notch digital filter. The stability and parameter-estimation bias are then analyzed by employing a first-order linear dynamical system. As a consequence, it is clarified that the resulting parameter estimate is unbiased. Finally, a numerical example is presented to demonstrate the validity and effectiveness of the adaptive state-space notch digital filter and bias analysis of parameter estimation.

引用

页码：1650 / 1657

页数：8

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