Adaptive Normal State-Space Notch Digital Filters: Algorithm and Frequency-Estimation Bias Analysis

Yoichi HINAMOTO; Shotaro NISHIMURA

doi:10.1587/transfun.2021EAP1010

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Adaptive Normal State-Space Notch Digital Filters: Algorithm and Frequency-Estimation Bias Analysis

著者情報

キーワード: adaptive IIR notch digital filter, fixed step size, frequency estimation bias, gradient-descent method, normal state-space realization, simplified iterative algorithm, stability, variable step size

ジャーナル認証あり早期公開

論文ID: 2021EAP1010

DOI https://doi.org/10.1587/transfun.2021EAP1010

この記事には本公開記事があります。

The final version of this article is now available: Vol. E104.A (2021), No. 11 pp. 1585-1592

詳細

抄録

This paper investigates an adaptive notch digital filter that employs normal state-space realization of a single-frequency second-order IIR notch digital filter. An adaptive algorithm is developed to minimize the mean-squared output error of the filter iteratively. This algorithm is based on a simplified form of the gradient-decent method. Stability and frequency estimation bias are analyzed for the adaptive iterative algorithm. Finally, a numerical example is presented to demonstrate the validity and effectiveness of the proposed adaptive notch digital filter and the frequency-estimation bias analyzed for the adaptive iterative algorithm.

責任著者(Corresponding author)

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