Pole–Zero Assignment of All-Pass-Based Notch Filters

Pei, Soo‐Chang; Lu, Wen-Yang; Guo, Bo-Yi

doi:10.1109/tcsii.2016.2589973

Cited by 10 publications

(2 citation statements)

References 12 publications

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“…Notch filters play an important role in numerous applications, including bioengineering, microwave photonics filter and digital imaging for interference cancellation (Levkov et al, 2005; Xu and Yao, 2015; Dash and Ray, 2019; Varghese et al, 2020). A lot of efforts have been made in recent years to optimize the notch filter design for improved performance, high-dimensional scalability and adaptive ability (Pei et al, 2017; Piyachaiyakul and Charoenlarpnopparut, 2011; Wu et al, 2021). In many cases, the interference frequencies often vary with time, which requires the real-time notch filtering based on the frequency estimates.…”

Section: Introductionmentioning

confidence: 99%

Real-time notch filtering based on the modified subspace-based high-resolution frequency estimator

Guo

Bai

et al. 2023

Transactions of the Institute of Measurement and Control

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This paper presents the real-time notch filtering based on a modified subspace-based high-resolution frequency estimator. The modified subspace-based frequency estimator is proposed based on the propagator using total least squares (TLS) to enhance the robustness to noise, which can be extended to the recursive implementation using data projection method (DPM). In addition, a subspace-based amplitude estimation method is proposed based on the available frequency estimates. For notch filtering, a second-order infinite impulse response (IIR) notch filter is directly designed in the discrete-time domain with given notch frequency and notch bandwidth. The performance of the proposed method is validated through numerical simulations and a real-world example.

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Section: Introductionmentioning

confidence: 99%

Real-time notch filtering based on the modified subspace-based high-resolution frequency estimator

Guo

Bai

et al. 2023

Transactions of the Institute of Measurement and Control

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“…This, however, leads to the prolonged transient response duration 8,9 and lower stability margin. 10 Various IIR multi-notch filter design methods can be found in the literature, while great majority of them can be classified into one of the following three approaches: cascading, 11,12 optimal poles placement, [13][14][15] and allpass based. [16][17][18][19] Transfer function of the IIR multi-notch filter, when the cascading approach is considered, is obtained by cascading several IIR single-notch filters.…”

Section: Introductionmentioning

confidence: 99%

The least‐square design of minimum‐order allpass‐based infinite impulse response multi‐notch filters

Krstić

2021

Circuit Theory & Apps

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The paper investigates the least-square design of minimum-order infinite impulse response multi-notch filters. Monotonically decreasing nature of the stable allpass filter's phase response, characterizing the allpass-based multinotch filter, along with the simple relation between coefficients and the phase response of the allpass filter, allows the formulation of the multi-notch filter's magnitude response specifications as the linear equality constraints regarding the positions of notch, left-and right-hand cutoff frequencies. Since the number of such constraints equals triple the number of notch frequencies,

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Wavelet Transform Based Filter to Remove the Notches from Signal Under Harmonic Polluted Environment

Das

Ranjan

2017

J. Inst. Eng. India Ser. B

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Pole–Zero Assignment of All-Pass-Based Notch Filters

Cited by 10 publications

References 12 publications

Real-time notch filtering based on the modified subspace-based high-resolution frequency estimator

Real-time notch filtering based on the modified subspace-based high-resolution frequency estimator

The least‐square design of minimum‐order allpass‐based infinite impulse response multi‐notch filters

Wavelet Transform Based Filter to Remove the Notches from Signal Under Harmonic Polluted Environment

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