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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 new VLSI design for adaptive frequency-detection based on the active oscillator

TL;DR: A novel adaptive algorithm to detect the frequency in a noisy environment and its VLSI implementation, which results in an adaptive one-coefficient FIR filter realization and a high performance V LSI architecture designed in fixed point operation to reduce the hardware cost.
Proceedings Article

Modified sign algorithm for a constrained adaptive IIR notch filter

TL;DR: In this paper, modified sign algorithm (MSA) for a second-order constrained adaptive IIR notch filter (ANF) is presented, based on minimizing the mean value of the product of the two signals, which are respectively produced by the FIR and the IIR sections of the ANF.
Proceedings ArticleDOI

Steady-state properties of the sign algorithm for the constrained adaptive IIR notch filter

TL;DR: An effective approach where relatively slow adaptation and Gaussianity of the notch filter output are assumed and Theory-based comparison between the SA and the plain gradient (PG) algorithm is done in some detail.
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A Subband Based Hands-Free Cellular Phone With Integrated Engine Noise and Acoustic Echo Cancellatio

TL;DR: A subband based approach for cancellation of acoustic echo as well as engine noise in an integrated setting is presented, proving practical usefulness of the proposed algorithms.
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The isolation of undistorted sinusoids in real-time

TL;DR: In this paper, a single-input, multiple-output adaptive filter that takes a multisinusoidal input signal and produces the individual sinusoid at each of the outputs is described.
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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