Journal ArticleDOI
A minimal parameter adaptive notch filter with constrained poles and zeros
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
Journal ArticleDOI
Digital $Q$ -Varying Notch IIR Filter With Transient Suppression
TL;DR: Simulations verifying the effectiveness of the proposed Q-varying IIR notch filter are presented and it is compared with the performance of the traditional Q-constant filter using ECG signals with unwanted sinusoidal interference as a study case.
Journal ArticleDOI
Resonator-based filter-banks for frequency-domain applications
TL;DR: In this article, a simulation of a singly terminated ladder filter is used to obtain a filter bank with a complexity of O(N) for adaptive line enhancement, which has the necessary conditions for global convergence and to yield uncorrelated sinusoidal enhanced outputs that are undistorted versions of the corresponding frequency components of the input.
Journal ArticleDOI
Fast least squares adaptive notch filtering
TL;DR: An adaptive notch filter based on a fast recursive-least-squares (FLS) algorithm is introduced, which has about the same complexity as the fast transversal adaptive filter but performs better for the analysis of narrowband signals in high-level noise.
Journal ArticleDOI
Tracking characteristics of the constrained IIR adaptive notch filter
Bhaskar D. Rao,Rong Peng +1 more
TL;DR: It is shown that the mean behavior of the adaptive filter coefficients can be studied by using an ordinary differential equation (ODE) and approximate and simple closed form results are derived for the tracking behavior of a second order notch filter.
Journal ArticleDOI
A New Efficient Narrowband Active Noise Control System and its Performance Analysis
TL;DR: Analytical results reveal that the proposed narrowband ANC system performs quite the same as its counterpart does while requiring considerably fewer multiplications, and the computational cost of the system may be significantly reduced.
References
More filters
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.
Related Papers (5)
Adaptive detection and enhancement of multiple sinusoids using a cascade IIR filter
T. Kwan,Kenneth W. Martin +1 more
Performance analysis of an adaptive notch filter with constrained poles and zeros
Petre Stoica,Arye Nehorai +1 more