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Journal ArticleDOI

L p normed minimization with applications to linear predictive modeling for sinusoidal frequency estimation

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TLDR
The robustness of an L p normed solution when estimating the frequency of sinusoids from data contaminated by impulsive noise is demonstrated and insight is gained into the transient and steady behavior of the iterative algorithm.
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This article is published in Signal Processing.The article was published on 1991-09-01. It has received 55 citations till now. The article focuses on the topics: Least absolute deviations & Iterative method.

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Citations
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Journal ArticleDOI

Signal processing with fractional lower order moments: stable processes and their applications

TL;DR: A tutorial review of the basic characteristics of stable distributions and stable signal processing is presented, focusing on the differences and similarities between stable signal processors based on fractional lower-order moments and Gaussian signal processing methods based on second-order Moments.
Journal ArticleDOI

Iterative reweighted least-squares design of FIR filters

TL;DR: A new iterative reweighted least squares algorithm for the design of optimal L/sub p/ approximation FIR filters that combines a variable p technique with a Newton's method to give excellent robust initial convergence and quadratic final convergence.
Journal ArticleDOI

Least mean p-power error criterion for adaptive FIR filter

TL;DR: An adaptive FIR filter based on the least mean p-power error (MPE) criterion is investigated and some application examples are presented, finding that when the signal is corrupted by an impulsive noise, the adaptive algorithm with p=1 is preferred.
Journal ArticleDOI

Adaptive IIR notch filter based on least mean p-power error criterion

TL;DR: In this paper, a second-order IIR adaptive notch filter (ANF) algorithm based on least-mean p-power (LMP) error criterion is investigated, which is used to cancel 60-Hz interference in the recording of electrocardiograms (ECG).
Journal ArticleDOI

Design of stable IIR digital filter based on least P-power error criterion

TL;DR: The least p-power error criterion is presented to design digital infinite impulse response (IIR) filters to have an arbitrarily prescribed frequency response.
References
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Book

Robust Regression and Outlier Detection

TL;DR: This paper presents the results of a two-year study of the statistical treatment of outliers in the context of one-Dimensional Location and its applications to discrete-time reinforcement learning.
Journal ArticleDOI

A new polynomial-time algorithm for linear programming

TL;DR: It is proved that given a polytopeP and a strictly interior point a εP, there is a projective transformation of the space that mapsP, a toP′, a′ having the following property: the ratio of the radius of the smallest sphere with center a′, containingP′ to theradius of the largest sphere withCenter a′ contained inP′ isO(n).
Book

Understanding robust and exploratory data analysis

TL;DR: Estimators of Location: An Outline of the Theory (C. Goodall).
Journal ArticleDOI

Robust regression using iteratively reweighted least-squares

TL;DR: The ROSEPACK (RObust Statistical Estimation PACKAGE) as mentioned in this paper was developed by the authors and Virginia Klema at the Computer Research Center of the National Bureau of Economic Research, Inc. in Cambridge, Mass.