Two discrete oscillator based adaptive notch filters (OSC ANFs) for noisy sinusoids

We propose two adaptive notch filters (ANFs) for sinusoids embedded in a noisy environment. Both of the ANFs, as usual, are structurally composed of a time-variant infinite-impulse-response (IIR) filter that serves as a line-enhancer and an adaptive mechanism that serves as a frequency estimator. Th...

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Veröffentlicht in:IEEE transactions on signal processing 2005-02, Vol.53 (2), p.528-538
1. Verfasser: LIAO, Ho-En
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description We propose two adaptive notch filters (ANFs) for sinusoids embedded in a noisy environment. Both of the ANFs, as usual, are structurally composed of a time-variant infinite-impulse-response (IIR) filter that serves as a line-enhancer and an adaptive mechanism that serves as a frequency estimator. The novelty of ANFs is that the derivations of the coefficient-updating algorithms for the adaptive mechanisms are both inspired by a discrete oscillator model and, moreover, are both independent of the structures of the line-enhancement filters chosen. A second-order IIR bandpass filter is selected to serve the line-enhancement portions for both of the two ANFs. Analyses and computer simulations show that the performances of the proposed ANFs are very promising.
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subjects Adaptive algorithms
Adaptive filters
Adaptive notch filter
Adaptive structures
Algorithms
Applied sciences
Band pass filters
Computer simulation
Convergence
Derivation
Detection, estimation, filtering, equalization, prediction
discrete oscillator
Estimators
Exact sciences and technology
Finite impulse response filter
Frequency estimation
IIR filters
Information, signal and communications theory
Lagrange multiplier
line enhancement
MSE
Notch filters
Oscillators
Performance analysis
Radar detection
Signal and communications theory
Signal, noise
Telecommunications and information theory
Working environment noise
title Two discrete oscillator based adaptive notch filters (OSC ANFs) for noisy sinusoids
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