A New Adaptive Notch Filtering Algorithm Based on Normalized Lattice Structure with Improved Mean Update Term

Nakamura, Shinichiro; Koshita, Shunsuke; Abe, Masahide; Kawamata, Masayuki

doi:10.1587/transfun.e98.a.1482

Cited by 20 publications

(5 citation statements)

References 16 publications

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“…where the terms including δ i a (k) for i ≥ 2 are omitted. It is noted that the last terms relating to the Taylor series expansion in ( 13) and ( 16) are not necessarily needed to derive (19). Their inclusion is just for reference.…”

Section: Stability and Parameter-estimation Bias Analysismentioning

confidence: 99%

“…Adaptive IIR notch digital filters have less computational complexities than their FIR counterparts as few coefficients are adopted. For this reason, many methods for the adaptive IIR filtering have been proposed so far [4]- [19]. Among various types of adaptive notch digital filters, adaptive notch filtering and parametric spectral estimation of narrow-band or sine wave signals in an additive broad-band process were examined with constrained poles and zeros [4].…”

Section: Introductionmentioning

confidence: 99%

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

Hinamoto

Nishimura

2023

IEICE Trans. Fundamentals

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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.

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Section: Stability and Parameter-estimation Bias Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Hinamoto

Nishimura

2023

IEICE Trans. Fundamentals

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“…(1) Filtering algorithm The digital filtering algorithm has a very important position in the intelligent sensor processing platform, which will directly affect the system's information decision-making function [22][23]. Generally speaking, the digital filter of the smart sensor will reduce the error by improving the signal-to-noise ratio or the mean square calculation method, and take care to output the optimal solution.…”

Section: Internet-based Intelligent Algorithmsmentioning

confidence: 99%

Exploration of the Path of Sino-Japanese Cultural Exchange under the Development of Intelligent Internet Integration

2021

IJAID

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With the advancement of Internet technology, the Internet is no longer just a carrier for humans to receive and transmit information, but also to achieve a close connection between people and things, and things and things. Based on the current situation of Sino-Japanese cultural exchanges, this article attempts to explore new paths for cultural exchanges in a smart environment. This article uses smart sensor technology to build an intelligent cultural exchange platform model, which provides an online cultural exchange platform for people who love Chinese and Japanese cultures. Users can upload their cultural insights to the platform through the Internet, and the smart sensors in the platform will analyze the content in combination with smart algorithms, filter out the content containing sensitive words, and leave only valuable cultural exchange information. In addition, smart sensors can also analyze all the data in the platform and make intelligent decisions to better meet the demands and expectations of target users in the process of cultural exchanges. According to the platform data, 34.77% of users have posted cultural-related knowledge issues on the platform for help. In contrast, although the content of cultural events only accounts for 7.38%, they can promote the connection of online and offline cultural exchange activities, and better promote various offline cultural activities through online platforms.

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“…The mean update term of notch frequency directly reflects the convergence of the algorithm [29]. To compare the convergence of the SLA, the GLA and the NLRLS algorithm, the mean update terms of notch frequency at different frequencies are calculated in this section [see 30].…”

Section: Comparison Of Convergence Characteristicsmentioning

confidence: 99%

Frequencies estimation of gearbox vibration signal based on normalized lattice filter with RLS-based algorithm

Luo

Zhang

Liu

et al. 2020

Meas. Sci. Technol.

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In this paper, in order to estimate the meshing frequencies of a gearbox online, based on its vibration signal, an adaptive notch filter with a normalized lattice structure is proposed as an estimator. The notch filter exhibits a high degree of robustness and a low level of estimation errors, due to the minimal dynamic range of the node energies of the normalized lattice structure. A novel lattice recursive least square (NLRLS) algorithm, which introduces a correlation value between the vibration signal and the output signal of the estimation filter into the LRLS algorithm, is used as the adaptive algorithm for the notch filter. Theoretical analysis and simulation results show that the NLRLS algorithm exhibits greater stability than the LRLS algorithm for vibration signals where prior information is lacking. The meshing frequency estimation experiment is performed on a two-stage gearbox experimental platform. A triangular cascade structure is used to connect multiple notch filters to achieve multi-frequency estimation. The experimental results show that the notch filters can estimate meshing frequencies quickly and accurately, which verifies its effectiveness.

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A New Adaptive Notch Filtering Algorithm Based on Normalized Lattice Structure with Improved Mean Update Term

Cited by 20 publications

References 16 publications

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

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

Exploration of the Path of Sino-Japanese Cultural Exchange under the Development of Intelligent Internet Integration

Frequencies estimation of gearbox vibration signal based on normalized lattice filter with RLS-based algorithm

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