Adaptive detection and enhancement of multiple sinusoids using a cascade IIR filter

Kwan, Tom; Martin, K.

doi:10.1109/31.31329

Cited by 225 publications

(38 citation statements)

References 11 publications

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“…Although an adaptive FIR filter has the stability advantage over an adaptive IIR notch filter, it requires a larger number of filter coefficients. In practical situations, an adaptive IIR notch filter (Chicharo & Ng, 1990;Kwan & Martin, 1989;Nehorai, 1985) is preferred due to its less number of filter coefficients and hence less computational complexity. More importantly, a second-order adaptive pole/zero constrained IIR notch filter (Xiao et al, 2001;Zhou & Li, 2004) can effectively be applied to track a single sinusoidal signal.…”

Section: Introductionmentioning

confidence: 99%

“…More importantly, a second-order adaptive pole/zero constrained IIR notch filter (Xiao et al, 2001;Zhou & Li, 2004) can effectively be applied to track a single sinusoidal signal. If a signal contains multiple frequency components, then we can estimate and track its frequencies using a higher-order adaptive IIR notch filter constructed by cascading second-order adaptive IIR notch filters (Kwan & Martin, 1989). To ensure the global minimum convergence, the filter algorithm must begin with initial conditions, which require prior knowledge of the signal frequencies.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Harmonic IIR Notch Filters for Frequency Estimation and Tracking

Tan¹,

Jiang²,

Wang³

2011

Adaptive Filtering

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Adaptive Harmonic IIR Notch Filters for Frequency Estimation and Tracking

Tan¹,

Jiang²,

Wang³

2011

Adaptive Filtering

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“…Alternative realizations have been studied in [4][5][6], where a number of second-order lattice adaptive notch filters (LANF) were cascaded to retrieve multiple sinusoids. However, as indicated in [6], *Correspondence: dhyoun@yonsei.ac.kr 1 School of Electrical and Electronic Engineering, Yonsei University, Shinchondong, Seodaemoon-gu, Seoul 120-749, South Korea Full list of author information is available at the end of the article the frequency estimates obtained with this approach are biased due to the assumption that the contraction factor is close to unity.…”

Section: Introductionmentioning

confidence: 99%

A robust high-order lattice adaptive notch filter and its application to narrowband noise cancellation

Kim

Park

Seo

et al. 2014

EURASIP J. Adv. Signal Process.

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In this paper, we propose a high-order lattice adaptive notch filter (LANF) that can robustly track multiple sinusoids. Unlike the conventional cascade structure, the proposed high-order LANF has robust tracking characteristics regardless of the frequencies of reference sinusoids and initial notch frequencies. The proposed high-order LANF is applied to a narrowband adaptive noise cancellation (ANC) to mitigate the effect of the broadband disturbance in the reference signal. By utilizing the gradient adaptive lattice (GAL) ANC algorithm and approximately combining it with the proposed high-order LANF, a computationally efficient narrowband ANC system is obtained. Experimental results demonstrate the robustness of the proposed high-order LANF and the effectiveness of the obtained narrowband ANC system.

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“…The adaptive notch filter (ANF) is an efficient frequency estimation and tracking technique that is utilised in a wide variety of applications, such as communication systems, biomedical engineering and radar systems [1][2][3][4][5][6][7][8][9][10][11][12]. The complex ANF (CANF) has recently gained much attention [13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

A gradient-adaptive lattice-based complex adaptive notch filter

Zhu

Yang

2016

EURASIP J. Adv. Signal Process.

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This paper presents a new complex adaptive notch filter to estimate and track the frequency of a complex sinusoidal signal. The gradient-adaptive lattice structure instead of the traditional gradient one is adopted to accelerate the convergence rate. It is proved that the proposed algorithm results in unbiased estimations by using the ordinary differential equation approach. The closed-form expressions for the steady-state mean square error and the upper bound of step size are also derived. Simulations are conducted to validate the theoretical analysis and demonstrate that the proposed method generates considerably better convergence rates and tracking properties than existing methods, particularly in low signal-to-noise ratio environments.

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Adaptive detection and enhancement of multiple sinusoids using a cascade IIR filter

Cited by 225 publications

References 11 publications

Adaptive Harmonic IIR Notch Filters for Frequency Estimation and Tracking

Adaptive Harmonic IIR Notch Filters for Frequency Estimation and Tracking

A robust high-order lattice adaptive notch filter and its application to narrowband noise cancellation

A gradient-adaptive lattice-based complex adaptive notch filter

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