scholarly journals Lower error bound for oversampled subband adaptive filters

1998 ◽  
Vol 34 (16) ◽  
pp. 1555 ◽  
Author(s):  
S. Weiß ◽  
A. Stenger ◽  
R. Rabenstein ◽  
R.W. Stewart
Keyword(s):  
Error Bound ◽  
Adaptive Filters ◽  
Lower Error ◽  
Lower Error Bound

scholarly journals A new estimation of the lower error bound in balanced truncation method

Automatica ◽  
2014 ◽  
Vol 50 (8) ◽  
pp. 2196-2198 ◽  
Author(s):  
Ha Binh Minh ◽  
Carles Batlle ◽  
Enric Fossas
Keyword(s):  
Error Bound ◽  
Balanced Truncation ◽  
Truncation Method ◽  
Lower Error ◽  
Lower Error Bound

scholarly journals A Uniform Lower Error Bound for Half-Space Learning

2008 ◽  
pp. 70-78 ◽  
Author(s):  
Andreas Maurer ◽  
Massimiliano Pontil
Keyword(s):  
Half Space ◽  
Error Bound ◽  
Lower Error ◽  
Lower Error Bound

scholarly journals A POSTERIORI ERROR ESTIMATION FOR THE STOKES PROBLEM: ANISOTROPIC AND ISOTROPIC DISCRETIZATIONS

2004 ◽  
Vol 14 (09) ◽  
pp. 1297-1341 ◽  
Author(s):  
E. CREUSÉ ◽  
S. NICAISE ◽  
G. KUNERT
Keyword(s):  
Finite Element ◽  
Error Bound ◽  
Error Estimation ◽  
Error Bounds ◽  
Stokes Problem ◽  
Posteriori Error ◽  
A Posteriori ◽  
A Posteriori Error ◽  
Error Estimators ◽  
Lower Error

The paper presents a posteriori error estimators for the stationary Stokes problem. We consider anisotropic finite element discretizations (i.e. elements with very large aspect ratio) where conventional, isotropic error estimators fail. Our analysis covers two- and three-dimensional domains, conforming and non-conforming discretizations as well as different elements. This large variety of settings requires different approaches and results in different estimators. Furthermore many examples of finite element pairs that are covered by the analysis are presented. Lower and upper error bounds form the main result with minimal assumptions on the elements. The lower error bound is uniform with respect to the mesh anisotropy with the exception of nonconforming 3D discretizations made of pentahedra or hexahedra. The upper error bound depends on a proper alignment of the anisotropy of the mesh which is a common feature of anisotropic error estimation. In the special case of isotropic meshes, the results simplify, and upper and lower error bounds hold unconditionally. Some of the corresponding results seem to be novel (in particular for 3D domains), and cover element pairs of practical importance. The numerical experiments confirm the theoretical predictions and show the usefulness of the anisotropic error estimators.

Adaptive Filters with Codified Error LMS Algorithm

2006 ◽  
Vol 65 (6) ◽  
pp. 567-579 ◽  
Author(s):  
Jose Velazquez-Lopez ◽  
Juan Carlos Sanchez-Garcia ◽  
Hector Manuel Perez-Meana
Keyword(s):  
Adaptive Filters ◽  
Lms Algorithm

A Variable Step-Size for Sparse Nonlinear Adaptive Filters

2021 ◽  
Author(s):  
Alberto Carini ◽  
Markus V. S. Lima ◽  
Hamed Yazdanpanah ◽  
Simone Orcioni ◽  
Stefania Cecchi
Keyword(s):  
Adaptive Filters ◽  
Variable Step Size ◽  
Step Size ◽  
Variable Step
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