In this paper we investigate power allocation and crosstalk cancellation for MIMO-DSL (a.k.a. bonded-DSL) systems. Exploiting a property of the DSL channel, namely columnwise diagonal dominance, allows us to simplify the power allocation and crosstalk cancellation problems. This leads to a significant reduction in initialisation and run-time complexity whilst maintaining near-optimal performanc...

How can one justify the secession of a territory from a liberal-democratic state of the kind currently prevalent in North America and Western Europe? The question does not primarily concern a mutually agreed secession, such as that of Norway from the United Kingdoms of Norway and Sweden in 1905. If the government and legislature of the ‘parent state’ freely agree to a secession of a part of its...

In this article, we consider the matrix equation $AXB=C$, where A, B, C are given matrices and give new necessary and sufficient conditions for the existence of the diagonal solutions and monomial solutions to this equation. We also present a general form of such solutions. Moreover, we consider the least squares problem $min_X |C-AXB |_F$ where $X$ is a diagonal or monomial matrix. The explici...

Let $mathbf{c}_0$ be the real vector space of all real sequences which converge to zero. For every $x,yin mathbf{c}_0$, it is said that $y$ is block diagonal majorized by $x$ (written $yprec_b x$) if there exists a block diagonal row stochastic matrix $R$ such that $y=Rx$. In this paper we find the possible structure of linear functions $T:mathbf{c}_0rightarrow mathbf{c}_0$ preserving $prec_b$.

for an n-by-n complex matrix a in a block form with the (possibly) nonzero blocks only on the diagonal above the main one, we consider two other matrices whose nonzero entries are along the diagonal above the main one and consist of the norms or minimum moduli of the diagonal blocks of a. in this paper, we obtain two inequalities relating the numeical radii of these matrices and also determine ...

We derive an explicit count for the number of singular n × n Hankel (Toeplitz) matrices whose entries range over a finite field with q elements by observing the execution of the Berlekamp/ Massey algorithm on its elements. Our method yields explicit counts also when some entries above or on the anti-diagonal (diagonal) are fixed. For example, the number of singular n × n Toeplitz matrices with ...

background and aim: one of the key aspects of maternal care is observing the progress of labor. careful assessment of labor progress could provide mothers to be referred on time and could decrease the maternal and neonatal morbidity. this study aimed to compare diagnostic accuracy of purple line with transvers diagonal of michaelis sacral rhomboid to predict labor progress in nulliparous and mu...

Background and Aim: One of the key aspects of maternal care is observing the progress of labor. Careful assessment of labor progress could provide mothers to be referred on time and could decrease the maternal and neonatal morbidity. This study aimed to compare diagnostic accuracy of purple line with transvers diagonal of Michaelis sacral rhomboid to predict labor progress in nulliparous and mu...

The present study was undertaken to develop a modified texture analysis algorithm based on the properties of texture spectrum (TS) domain for the satellite images. In texture analysis some specific spatial filters are required, which can transform the image based on the textural features instead of changing the spectral properties; the image is thus characterized by its texture spectrum. This p...