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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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Theory and application of (IIR) adaptive notch filtering

TL;DR: This thesis deals with infinite impulse response adaptive notch filtering and its application to the industrial problem of roll eccentricity signal estimation and retrieval and considers a simpler class of adaptive algorithms and applies these to notch filtering for the first time.
Journal ArticleDOI

An Efficient Filter Bank Structure for Adaptive Notch Filtering and Applications

TL;DR: In this paper, a new efficient second-order IIR adaptive notch filters (ANF) is proposed that is composed of two filter banks, namely a prefilter bank with cascaded IIR notch filters and a parallel structure IIR ANFB.
Proceedings ArticleDOI

Adaptive Normal-Form State-Space Notch Filters

TL;DR: This paper explores novel adaptive state-space notch filters with novel update laws by applying the normal-form state- space realization of a single frequency second-order IIR notch filter and finds an alternative adaptive iterative algorithm to be a simplified form of the above technique.
Proceedings Article

New narrowband active noise control systems requiring considerably less multiplications

TL;DR: A new narrowband ANC system structure which requires only one x-filtering block regardless of q, and is implanted in a recently developed ANC system that is capable of mitigating the frequency mismatch (FM).
Proceedings ArticleDOI

A State-Space Approach to High-order Adaptive Band-Pass Filtering

TL;DR: It is demonstrated that the adaptive state-space filters show the robust convergence behavior against quantization effects, whereas the convergence behavior of the conventional direct-form adaptive filters is very sensitive to the quantizationeffects.
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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