scispace - formally typeset
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
Reads0
Chats0
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.

read more

Citations
More filters
Patent

Method and apparatus for estimating physiological parameters using model-based adaptive filtering

TL;DR: In this paper, a method and apparatus for reducing the effects of noise on a system for measuring physiological parameters, such as, for example, a pulse oximeter, is presented. But it does not take into account the physical limitations on various physiological parameters being monitored when weighting and averaging a series of measurements.
Journal ArticleDOI

A globally convergent frequency estimator

TL;DR: The authors propose a new adaptive notch filter whose dynamic equations exhibit the following remarkable features: all signals are globally bounded and the estimated frequency is asymptotically correct for all initial conditions and all frequency values.
Journal ArticleDOI

An improved lattice-based adaptive IIR notch filter

TL;DR: A novel lattice-based adaptive infinite impulse response (IIR) notch filter is developed which features independent tuning of the notch frequency and attenuation bandwidth, and the estimation of extremal frequencies is less prone to overflow instability than previously reported structures.
Journal ArticleDOI

Adaptive comb filtering for harmonic signal enhancement

TL;DR: Results of simulations indicate that the variances of the estimates are of the same order of magnitude as the CRB for sufficiently large data sets, and illustrate the performance in enhancing noisy artificial periodic signals.
Journal ArticleDOI

An Adaptive Synchronous-Reference-Frame Phase-Locked Loop for Power Quality Improvement in a Polluted Utility Grid

TL;DR: The obtained experimental results show that the proposed adaptive SRF-PLL highly rejects the undesired harmonics even if the fundamental harmonic frequency of a highly polluted grid voltage abruptly varies.
References
More filters
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.
Related Papers (5)