Constrained Perturbation Regularization Approach for Signal Estimation Using Random Matrix Theory
نویسندگان
چکیده
منابع مشابه
Large Dimensional Random Matrix Theory for Signal Detection and Estimation in Array Processing∗
In this paper, we bring into play elements of the spectral theory of large dimensional random matrices and demonstrate their relevance to source detection and bearing estimation in problems with sizable arrays. These results are applied to the sample spatial covariance matrix, R̂, of the sensed data. It is seen that detection can be achieved with a sample size considerably less than that require...
متن کاملPerturbation-Based Regularization for Signal Estimation in Linear Discrete Ill-posed Problems
Estimating the values of unknown parameters from corrupted measured data faces a lot of challenges in ill-posed problems. In such problems, many fundamental estimation methods fail to provide a meaningful stabilized solution. In this work, we propose a new regularization approach and a new regularization parameter selection approach for linear leastsquares discrete ill-posed problems. The propo...
متن کاملPerturbation Theory for Rectangular Matrix Pencils Perturbation Theory for Rectangular Matrix Pencils
abstract The theory of eigenvalues and eigenvectors of rectangular matrix pencils is complicated by the fact that arbitrarily small perturbations of the pencil can cause them disappear. However, there are applications in which the properties of the pencil ensure the existence of eigen-values and eigenvectors. In this paper it is shown how to develop a perturbation theory for such pencils. ABSTR...
متن کاملMatrix Perturbation Theory
Ren-Cang Li University of Texas at Arlington 15.1 Eigenvalue Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15-1 15.2 Singular Value Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15-6 15.3 Polar Decomposition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15-7 15.4 Generalized Eigenvalue Problems . . . . . . . . . . . . . . . . . . . 15-...
متن کاملRegularization Methods in Chiral Perturbation Theory
Chiral lagrangians describing the interactions of Goldstone bosons in a theory possessing spontaneous symmetry breaking are effective, nonrenormalizable field theories in four dimensions. Yet, in a momentum expansion one is able to extract definite, testable predictions from perturbation theory. These techniques have yielded in recent years a wealth of information on many problems where the phy...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Signal Processing Letters
سال: 2016
ISSN: 1070-9908,1558-2361
DOI: 10.1109/lsp.2016.2615683