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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

A new adaptive notch filter with constrained poles and zeros using Steiglitz-McBride method

TL;DR: The proposed adaptive notch filter, termed as SMM-ANF, converges to the unbiased solution, has fast convergence speed, and requires less computational complexity than existing recursive maximum likelihood adaptive notch filters (RML-ANf).
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Multi-cell digital feedback control for noise reduction through hybrid absorbers

TL;DR: In this article, the authors deal with the control aspect of a new type of hybrid acoustic absorbent developed in the LMFA Center for Acoustics, which aims to achieve large noise reduction over a wide frequency range by combining passive and active control.
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Adaptive Steiglitz-McBride notch filter design for radio interference suppression in VDSL systems

TL;DR: A recursive least square (RLS) based complex adaptive notch filter (ANF) using the Steiglitz-McBride (SM) method is proposed to suppress the radio frequency interference in very-high-speed digital subscriber line (VDSL) systems.
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Adaptive comb filters for enhancement of quasi periodic signals

TL;DR: It can be shown that the proposed ACF proposed is globally stable provided that the debiasing parameter is appropriately chosen and no stability test is needed.
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GNSS Spoofing Suppression Based on Multi-Satellite and Multi-Channel Array Processing

TL;DR: In this article , a spoofing suppression algorithm based on angle of arrival estimation and multi-satellite fusion is proposed to suppress the forward spoofing which is more threatening to military signals in GNSS.
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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