Mean square error analysis of unbiased modified plain gradient algorithm for second-order adaptive IIR notch filter

Punchalard, R.

doi:10.1016/j.sigpro.2012.04.016

Cited by 17 publications

(9 citation statements)

References 9 publications

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“…Hence, in this case, the parameter a is controlled by an adaptive algorithm to estimate ω s . This notch filter is designed by the famous method called the constrained poles and zeros (CPZ), and this notch filter has been most widely used for ANFs [44][45][46][47][48][49][50][51].…”

Section: Anfs Based On Other Approachesmentioning

confidence: 99%

Recent Advances in Variable Digital Filters

Koshita¹,

Abe²,

Kawamata³

2018

Digital Systems

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Variable digital filters are widely used in a number of applications of signal processing because of their capability of self-tuning frequency characteristics such as the cutoff frequency and the bandwidth. This chapter introduces recent advances on variable digital filters, focusing on the problems of design and realization, and application to adaptive filtering. In the topic on design and realization, we address two major approaches: one is the frequency transformation and the other is the multi-dimensional polynomial approximation of filter coefficients. In the topic on adaptive filtering, we introduce the details of adaptive bandpass/band-stop filtering that include the well-known adaptive notch filtering.

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Section: Anfs Based On Other Approachesmentioning

confidence: 99%

Recent Advances in Variable Digital Filters

Koshita¹,

Abe²,

Kawamata³

2018

Digital Systems

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“…In the past three decades, lots of frequency estimation algorithms have been proposed to provide good performance, such as FFT [1], wavelet transform [2], correlation [3], ANF [4]- [5], and so on. Compared with other frequency estimation algorithms, ANF can automatically adjust the parameters according to the measured signal characteristics, and realize the estimation and tracking of frequency.…”

Section: Introductionmentioning

confidence: 99%

A Novel Adaptive Frequency Estimation Algorithm Based on Interpolation FFT and Improved Adaptive Notch Filter

Shen

Zhang

et al. 2017

Measurement Science Review

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The convergence rate and the continuous tracking precision are two main problems of the existing adaptive notch filter (ANF) for frequency tracking. To solve the problems, the frequency is detected by interpolation FFT at first, which aims to overcome the convergence rate of the ANF. Then, referring to the idea of negative feedback, an evaluation factor is designed to monitor the ANF parameters and realize continuously high frequency tracking accuracy. According to the principle, a novel adaptive frequency estimation algorithm based on interpolation FFT and improved ANF is put forward. Its basic idea, specific measures and implementation steps are described in detail. The proposed algorithm obtains a fast estimation of the signal frequency, higher accuracy and better universality qualities. Simulation results verified the superiority and validity of the proposed algorithm when compared with original algorithms.

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“…In [9], new error criteria were introduced for adapting the notch filter parameters. Loetwassana et al [10,11] suggested a modified plain gradient (PG) algorithm to avoid biases in the parameters estimated by a second-order adaptive notch filter. These are just a few examples of recent developments on adaptive notch filters.…”

Section: Introductionmentioning

confidence: 99%

Loop analysis of adaptive notch filters

Borio

2016

IET signal process.

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Adaptive notch filters have been the focus of intense research for more than three decades. Low computational requirements and good performance make them attractive for tracking frequency modulated signals. Despite the extensive literature on adaptive notch filters, algorithm extensions and new models for describing the dynamics of the notch frequency continue to be proposed. In this study, the equivalence between adaptive notch filters using a plain gradient (PG) algorithm and frequency lock loops (FLLs) with exponential filtering is established. FLL theory is then used to analyse the noise performance and signal tracking capabilities of adaptive notch filters. A linear model describing the dynamics of the filter adaptation process is derived and the concepts of loop and Doppler bandwidths are introduced. Criteria based on the loop and Doppler bandwidths are suggested to set the PG adaptation step. Finally, algorithm extensions based on the FLL theory are proposed. Theoretical results are supported by Monte Carlo simulations which show the validity of the analysis performed.

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Mean square error analysis of unbiased modified plain gradient algorithm for second-order adaptive IIR notch filter

Cited by 17 publications

References 9 publications

Recent Advances in Variable Digital Filters

Recent Advances in Variable Digital Filters

A Novel Adaptive Frequency Estimation Algorithm Based on Interpolation FFT and Improved Adaptive Notch Filter

Loop analysis of adaptive notch filters

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