Journal ArticleDOI
A minimal parameter adaptive notch filter with constrained poles and zeros
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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.read more
Citations
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Journal ArticleDOI
On a Higher Order Recursive Technique for Frequency Estimation
TL;DR: In this article, the authors considered the problem of frequency estimation using recursive schemes and proposed an adaptive notch filter technique and an algorithm based on the extended instrumental variable method, which produces an adaptive procedure for constructing the instruments and estimating the frequencies.
Book ChapterDOI
Adaptive predictors for carrier jitter suppression in highly efficient digital modems.
L. Díez del Rio,R. García Gómez +1 more
TL;DR: In this paper, the problem of carrier jitter suppression in QAM systems with dense constellations is outlined and two approach are study: First a FIR ALE (Adaptive Line Enhancer) is considered.
Patent
Multitone detector using an adaptive IIR filter
TL;DR: In this article, an adaptive infinite impulse response (IIR) filter is provided that can adaptively detect the presence of one or more tones in its input stream, subject only to a limitation that such tones fall within a frequency band consistent with accepted sampling principles (e.g., a maximum frequency of interest no greater than one-half the sampling frequency).
Proceedings ArticleDOI
Robust notch filter design
TL;DR: In this paper, a technique for designing a notch filter with controlled null width and power constraint over a frequency band of interest subject to a controlled broad null is presented, where the null is controlled to have zero derivatives at the frequency of interest.
Proceedings ArticleDOI
A State-Space Approach for Adaptive Second-Order IIR Notch Filters with Constrained Poles and Zeros
TL;DR: In this paper, a simplified adaptive iterative algorithm is derived from the gradient-descent method for minimizing the mean-squared output error of an adaptive second-order IIR notch filter.
References
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Journal ArticleDOI
Adaptive noise cancelling: Principles and applications
Bernard Widrow,J.R. Glover,John M. McCool,J. Kaunitz,C.S. Williams,R.H. Hearn,James R. Zeidler,Jr. Eugene Dong,R.C. Goodlin +8 more
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
Steven Kay,S.L. Marple +1 more
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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