An alternative simple proof for a well-known result encountered in blind identification and equalization of communication channels is derived. It is shown that the coprimeness condition of a number of FIR channels is equivalent to the full column rank condition of a certain block Sylvester matrix, whose entries are the channel coefficients. As a corollary, it is also shown that in general, the ...

This paper presents the design and implementation of a novel SDR based massive MIMO testbed with up to 70 nodes built at Tennessee Technological University. The deployment can reach a 30×30 antenna MIMO scheme. With this testbed, we are able to measure the channel matrix and compute the achievable rate of the massive MIMO system using experimental data. The measured channel capacity is linearly...

We investigate the convergence of quasi-periodic approximations in different frameworks and reveal exact asymptotic estimates corresponding errors. The facilitate a fair comparison to other classical well-known approaches. consider special realization by inverse Vandermonde matrix, which makes it possible prove existence implementations, derive explicit formulas explore properties. also show ap...

We consider the learning coefficients in learning theory and give two newmethods for obtaining these coefficients in a homogeneous case: a method for finding a deepest singular point and a method to add variables. In application to Vandermonde matrix-type singularities, we show that these methods are effective. The learning coefficient of the generalization error in Bayesian estimation serves t...

We propose an improved software registration system from our previous research. Our improvements are mainly as follows. (1) Changing basic field to make the scheme suitable for all characters. (2) Changing encryption and decryption formulae to make the scheme more complex. (3) Using the technique of letter decomposition and composition to make the scheme more deceptive to a possible adversary. ...

VANDERMONDE-LIKE MATRICES LUCA GEMIGNANI Abstract. This paper is concerned with the solution of linear systems with coe cient matrices which are Vandermonde-like matrices modi ed by adding low-rank corrections. Hereafter we refer to these matrices as to modi ed Vandermonde-like matrices. The solution of modi ed Vandermondelike linear systems arises in the approximation theory both when we use R...

In this survey paper, a summary of results which are to be found in a series of papers, is presented. The subject of interest is focused on matrix algebraic properties of the Fisher information matrix (FIM) of stationary processes. The FIM is an ingredient of the Cramér-Rao inequality, and belongs to the basics of asymptotic estimation theory in mathematical statistics. The FIM is interconnecte...

Since every even power of the Vandermonde determinant is a symmetric polynomial, we want to understand its decomposition in terms of the basis of Schur functions. We investigate several combinatorial properties of the coefficients in the decomposition. In particular, I will give a recursive approach for computing the coefficient of the Schur function sμ in the decomposition of an even power of ...

In this work, linearized multivariate skew polynomials over division rings are introduced. Such right linear the corresponding centralizer and generalize polynomial finite fields, group or differential rings. Their natural evaluation is connected to remainder-based of free polynomials. It shown that P-independent sets those given by linearly independent when partitioned into conjugacy classes. ...