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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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Proceedings ArticleDOI

Tracking drifting interferences using simple cascaded second order FIR filters

TL;DR: This paper presents an approach to tracking multiple sinusoids using Kwan-Martin's algorithm using Grey-Markel Notch filters and shows how this approach can be used to resolve three different signals separated by 6 degrees at various locations on the unit circle.
Journal ArticleDOI

Adaptive estimation and compensation technique of channel nulls over VDSL systems

TL;DR: In this article, a simple compensation technique for channel nulls induced by bridged taps is proposed over very high-speed digital subscriber line (VDSL) systems, where the lost signal components caused by bridging taps are compensated for by an adaptive filter the transfer function of which has poles at the null frequencies.
Book ChapterDOI

Spectro-Temporal Features for Howling Frequency Detection

TL;DR: Spectro-temporal features for howling frequency detection are developed based on statistical properties of temporal power spectra, which requires less computational complexity than conventional methods.
Journal ArticleDOI

A State-Space Approach and Its Estimation Bias Analysis for Adaptive Notch Digital Filters with Constrained Poles and Zeros

TL;DR: In this article , a simplified iterative algorithm is derived from the gradient-descent method to minimize the mean-squared output of an adaptive second-order IIR notch digital filter with constrained poles and zeros.
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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