On the adaptive lattice notch filter for the detection of sinusoids

Cho, Nam Ik; Lee, S.U.

doi:10.1109/82.238368

Cited by 137 publications

(53 citation statements)

References 22 publications

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“…ANF-based adaptive line enhancer is widely used for the quality enhancement of the sinusoids corrupted by noise and estimation of the unknown frequencies of such sinusoids [14]. Active noise control [15,16], vibration control [17], and speed control in disk drives and magnetic bearings [18,19] are a few examples of the problems which make use of the ANF.…”

Section: Introductionmentioning

confidence: 99%

Performance characterization of a non‐linear system as both an adaptive notch filter and a phase‐locked loop

Karimi-Ghartemani

Ziarani

2004

Adaptive Control & Signal

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The behaviour of a non-linear dynamical system is described. The system may be characterized as an adaptive notch filter, or alternatively, as a phase-locked loop. Either way, the system has the inherent capability of directly providing estimates of the parameters of the extracted sinusoidal component of its input signal, namely its amplitude, phase and frequency. The structure and mathematical properties of the system are presented for two cases of fixed-frequency and varying-frequency operation. The effects of parameter setting of the system on its performance are studied in detail using computer simulations. Transient and steady-state behaviour of the system are studied in the presence of noise. Simplicity of structure, high noise immunity and robustness and the capability of direct estimation of amplitude, phase and frequency are the salient features of the system when envisaged as an adaptive notch filter or a phaselocked loop.

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Section: Introductionmentioning

confidence: 99%

Performance characterization of a non‐linear system as both an adaptive notch filter and a phase‐locked loop

Karimi-Ghartemani

Ziarani

2004

Adaptive Control & Signal

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“…Typical IIR notch filters known to date include the bilinear notch filter [3,4], the notch filter with constrained poles and zeros [5], and the lattice notch filter [1,2,13,14]. Algorithms for updating the filter coefficients include the sign algorithm [3], the plain gradient algorithm [3,4,6], the normalized gradient algorithm [4,6], the lattice algorithm [1,2], and the recursive prediction error algorithm [5,7]. In addition, many existing algorithms with improved performance have been developed [e.g., 711].…”

Section: Introductionmentioning

confidence: 99%

Improving the performance analysis of a gradient‐based adaptive IIR notch filter

Takeshita

Xiao

Shida

2002

Electron Comm Jpn Pt III

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SUMMARYImprovement of performance analysis is discussed for the plain gradient-type adaptive IIR bilinear notch filters often used in the areas of communication, control, radar, and so on. Specifically, instead of the gradient linearization in the conventional analysis, nonlinear terms are introduced in the approximate expression of the gradient and an explicit expression of the estimation variance of the gradient algorithm in the steady state is derived. In regard to the step size, the convergence condition is derived that guarantees convergence of the algorithm. Its effectiveness and limitation are clarified.

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“…An adaptive lattice IIR notch filter is used for the detection method, and the recursive least square (RLS) algorithm (Cho & Lee 1993, Choi & Cho 2002) is used to estimate frequency. The transfer function of the notch filter can be represented as .…”

Section: Adaptive Notch Filter Using Rlsmentioning

confidence: 99%

“…Detection and mitigation methods of the CWI by using the adaptive filter have been studied recently and can be classified into two approaches: time-domain (Cho & Lee 1993, Choi & Cho 2002, Borio et al 2008, Chien et al 2010) and frequency-domain approaches (Capozza et al 2000, Balaei & Dempster 2009). These approaches have a limitation on detection and mitigation of swept continuous wave interference, because its sweep rate degrades the signal tracking performance of the adaptive notch filter.…”

Section: Introductionmentioning

confidence: 99%

“…These approaches have a limitation on detection and mitigation of swept continuous wave interference, because its sweep rate degrades the signal tracking performance of the adaptive notch filter. In this paper, an adaptive lattice IIR notch filter (Cho & Lee 1993, Choi & Cho 2002, Kang et al 2012) is implemented to identify the types of interference such as single-tone continuous wave and swept continuous wave signals. The performance of the interference detection and identification method is analyzed using software GPS receiver and interference simulator data.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A GNSS Interference Detection Method Based on Multiple Ground Stations

Kim¹,

Kang²,

Yang³

et al. 2012

Journal of Positioning, Navigation, and Timing

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For a GNSS receiver's robustness against RFI and the high accuracy of navigation solution in GNSS, interference source detection and mitigation are needed. In this paper, an adaptive lattice IIR notch filter is employed to track single-tone continuous wave and swept continuous wave interference signals, and an interference detection method is proposed. Furthermore, this paper presents interference source characterization algorithm using multiple ground stations' interference detection results. The measurement of the signal powers from each ground station is used to build weighting factors to estimate the type of the interference. The performance of interference detection algorithm is simulated for scenarios of GPS signal in the presence of single-tone continuous wave interference and swept continuous wave interference.

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On the adaptive lattice notch filter for the detection of sinusoids

Cited by 137 publications

References 22 publications

Performance characterization of a non‐linear system as both an adaptive notch filter and a phase‐locked loop

Performance characterization of a non‐linear system as both an adaptive notch filter and a phase‐locked loop

Improving the performance analysis of a gradient‐based adaptive IIR notch filter

A GNSS Interference Detection Method Based on Multiple Ground Stations

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