Pfeffer, Douglas T. Jury, Michael T.
Published in
Complex Analysis and Operator Theory

We establish versions of Szegő’s distance formula and Widom’s theorem on invertibility of (a family of) Toeplitz operators in a class of finite codimension subalgebras of uniform algebras, obtained by imposing a finite number of linear constraints. Each such algebra is naturally represented on a family of reproducing kernel Hilbert spaces, which pl...

Shao, Bin
Published in
Computational Statistics

The Gini index is well-known for a single measure of inequality. The purpose of this article is to explore a matrix structure of the Gini index in a setting of multiple source income. Using matrices, we analyze the decomposition of the Gini index by income source and derive an explicit formula for the factors in terms of the associated percentile l...

Cheng, Xue Wang, Yingmin
Published in
Sensors (Basel, Switzerland)

Noise suppression capacity in multiple-input multiple-output (MIMO) sonar signal processing is derived under the assumption of white Gaussian noise. However, underwater noise mainly includes white Gaussian noise and colored noise. There exists a certain correlation between the noise signals received by each MIMO sonar array element. The performance...

Dolgov, Sergey Litvinenko, Alexander Liu, Dishi

zhang, weiqian chaoqian, li

A set to locate all eigenvalues for matrices with a constant main diagonal entry is given, and it is proved that this set is tighter than the well-known Geršgorin set, the Brauer set and the set proposed in (Linear and Multilinear Algebra, 60:189-199, 2012). Furthermore, by applying this result to Toeplitz matrices as a subclass of matrices with a ...

Baron, Corey A Dwork, Nicholas Pauly, John M Nishimura, Dwight G
Published in
Magnetic resonance in medicine

Conventional non-Cartesian compressed sensing requires multiple nonuniform Fourier transforms every iteration, which is computationally expensive. Accordingly, time-consuming reconstructions have slowed the adoption of undersampled 3D non-Cartesian acquisitions into clinical protocols. In this work we investigate several approaches to minimize reco...

Zhang, Yong Zhu, Lidong He, Peiyu Cui, Ao
Published in
Wireless Personal Communications

In the conventional beamforming-based transmitting scheme for a multiple-input single-output (MISO) system, many transmitting antennas are usually required. In this paper, a direction of arrival (DOA) based spatial focusing scheme for a 2 × 1 MISO system is proposed. This 2 × 1 MISO system, can be employed for local or indoor communications, requir...

Balachandrasekaran, Arvind Jacob, Mathews
Published in
Proceedings. IEEE International Symposium on Biomedical Imaging

We propose a structured low rank matrix completion algorithm to recover a time series of images consisting of linear combination of exponential parameters at every pixel, from undersampled Fourier measurements. The spatial smoothness of these parameters is exploited along with the exponential structure of the time series at every pixel, to derive a...

Radons, Manuel
Published in
Optimization Letters

A well known numerical task is the inversion of large symmetric tridiagonal Toeplitz matrices, i.e., matrices whose entries equal a on the diagonal and b on the extra diagonals (a,b∈R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackag...

Zhang, Biling Yu, Jung-Lang Kuo, Wan-Ru
Published in
Circuits, Systems, and Signal Processing

In this paper, blind and semi-blind subspace channel estimations with fast convergence rate are proposed for multiple-input multiple-output orthogonal frequency division multiplexing (OFDM) systems in the presence of virtual carriers. The subspace method has a main drawback of slow convergence rate when deriving the noise subspaces from the second-...