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A State-Space Approach and Its Estimation Bias Analysis for Adaptive Notch Digital Filters with Constrained Poles and Zeros

Yoichi HINAMOTO, Shotaro NISHIMURA

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Summary :

This paper deals with a state-space approach for adaptive second-order IIR notch digital filters with constrained poles and zeros. A simplified iterative algorithm is derived from the gradient-descent method to minimize the mean-squared output of an adaptive notch digital filter. Then, stability and parameter-estimation bias are analyzed for the simplified iterative algorithm. A numerical example is presented to demonstrate the validity and effectiveness of the proposed adaptive state-space notch digital filter and parameter-estimation bias analysis.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E106-A No.3 pp.582-589
Publication Date
2023/03/01
Publicized
2022/09/16
Online ISSN
1745-1337
DOI
10.1587/transfun.2022EAP1034
Type of Manuscript
PAPER
Category
Digital Signal Processing

Authors

Yoichi HINAMOTO
  NIT Kagawa College
Shotaro NISHIMURA
  Shimane University

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