Unbiased plain gradient algorithm for a second-order adaptive IIR notch filter with constrained poles and zeros

Loetwassana, W.; Punchalard, R.; Koseeyaporn, J.; Wardkein, P.

doi:10.1016/j.sigpro.2010.02.020

Cited by 15 publications

(9 citation statements)

References 9 publications

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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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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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“…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%

“…where ρ ∈ (0, 1] is the filter forgetting factor. Note that for L = 1, (9) and (10) degenerate to (8). In the following, the analysis is restricted to PG algorithms minimising (8).…”

Section: Introductionmentioning

confidence: 99%

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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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“…Since such a lter structure which is adapted by the plain gradient algorithms provides inherent bias in steady state of the algorithms, the notch frequency of the lter is incorrect to the input sinusoidal frequency. In order to solve the bias, the unbiased plain gradient (UPG) algorithms for such a lter structure were proposed by [10,11] that both give good performance in the steady state. However, the UPG algorithms produce local minima in the error function.…”

Section: Introductionmentioning

confidence: 99%

Performance Comparison of a Second-order adaptive IIR Notch Filter based on Plain Gradient Algorithm

Loedwassana

2016

ECTI-EEC

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This paper presents performance analysis of a second-order adaptive IIR notch filter with constrained poles and zeros in direct form II structure that is adapted by algorithms of indirect and direct frequency estimations based on plain gradient. In this work, the steady-state bias properties and stability bounds of both algorithms are derived in closed form. The simulated processes are performed in order to verify the analytical results. Furthermore, these results of the proposed filter are also compared with those results of the direct form I adaptive IIR notch filter under the same parameters. It has been revealed that the direct form II structure has given the steady-state performance over the direct form I structure.

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Unbiased plain gradient algorithm for a second-order adaptive IIR notch filter with constrained poles and zeros

Cited by 15 publications

References 9 publications

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

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

Loop analysis of adaptive notch filters

Performance Comparison of a Second-order adaptive IIR Notch Filter based on Plain Gradient Algorithm

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