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Journal ArticleDOI

A minimal parameter adaptive notch filter with constrained poles and zeros

Arye Nehorai
- 01 Aug 1985 - 
- Vol. 33, Iss: 4, pp 983-996
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TLDR
A new algorithm is presented for adaptive notch filtering and parametric spectral estimation of multiple narrow-band or sine wave signals in an additive broad-band process and uses a special constrained model of infinite impulse response with a minimal number of parameters.
Abstract
A new algorithm is presented for adaptive notch filtering and parametric spectral estimation of multiple narrow-band or sine wave signals in an additive broad-band process. The algorithm is of recursive prediction error (RPE) form and uses a special constrained model of infinite impulse response (IIR) with a minimal number of parameters. The convergent filter is characterized by highly narrow bandwidth and uniform notches of desired shape. For sufficiently large data sets, the variances of the sine wave frequency estimates are of the same order of magnitude as the Cramer-Rao bound. Results from simulations illustrate the performance of the algorithm under a wide range of conditions.

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Citations
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A globally convergent frequency estimator

TL;DR: In this article, a new adaptive notch filter was proposed to ensure globally convergent estimation of the frequency of a sinusoidal signal, and the estimated frequency is asymptotically correct for all initial conditions and all frequency values, and a simple tuning procedure for the estimator design parameters, which trades-off the adaptation tracking capabilities with noise sensitivity, ensuring (exponential) stability of the desired orbit.
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On the use of Youla–Kucera parametrisation in adaptive active noise and vibration control – a review

TL;DR: The paper will review the basic algorithms and various extensions trying to emphasise the advantages of using Youla–Kucera parametrisation in adaptive active vibration control and adaptive active noise control.
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Fast communication: Adaptive IIR notch filter using a modified sign algorithm

TL;DR: Modified sign algorithm for a second-order constrained adaptive IIR notch filter (ANF) is proposed and analyzed and a coarse stability for the MSA is carried out.
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Active noise control in a duct system based on a frequency-estimation algorithm and the FX-LMS algorithm

TL;DR: In this article, an indirect feedback active noise control (ANC) scheme, based on the fundamental frequency estimation method, is proposed for systems with multiple tonal noises, where the engine noise consists of the harmonic components of the rotation of the crankshaft in the engine.
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An FIR notch filter for adaptive filtering of a sinusoid in correlated noise

TL;DR: A novel adaptive FIR filter for the estimation of a single-tone sinusoid corrupted by additive noise is described, based on an offline optimization procedure which computes the filter coefficients such that the frequency response is unity at that frequency and a weighted noise gain is minimized.
References
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Journal ArticleDOI

Adaptive noise cancelling: Principles and applications

TL;DR: It is shown that in treating periodic interference the adaptive noise canceller acts as a notch filter with narrow bandwidth, infinite null, and the capability of tracking the exact frequency of the interference; in this case the canceller behaves as a linear, time-invariant system, with the adaptive filter converging on a dynamic rather than a static solution.
Book

Theory and application of digital signal processing

TL;DR: Feyman and Wing as discussed by the authors introduced the simplicity of the invariant imbedding method to tackle various problems of interest to engineers, physicists, applied mathematicians, and numerical analysts.
Journal ArticleDOI

Spectrum analysis—A modern perspective

TL;DR: In this paper, a summary of many of the new techniques developed in the last two decades for spectrum analysis of discrete time series is presented, including classical periodogram, classical Blackman-Tukey, autoregressive (maximum entropy), moving average, autotegressive-moving average, maximum likelihood, Prony, and Pisarenko methods.
Journal ArticleDOI

Analysis of recursive stochastic algorithms

TL;DR: It is shown how a deterministic differential equation can be associated with the algorithm and examples of applications of the results to problems in identification and adaptive control.
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