In the single carrier frequency division multiple access (SC-FDMA) system, the use of discrete cosine transform (DCT) instead of discrete Fourier transform (DFT) has shown improved bit error rate (BER) performance. ...

In this paper, we study the Diophantine equation $u_n=R(m)P(m)^{Q(m)}$,where $R, P$ and $Q$ are some polynomials (under weak assumptions) and $u_n$ is a Lucas sequence, thus the sequence $(u_n)_{n\geq 0}$ with characteristic ...

The use of the Dunkl derivative, defined by a combination of the difference-differential and reflection operators, allows the classification of the solutions according to even and odd solutions. Recently, we considered the ...

Heterogeneous cellular network (HCN) is structured on a multi-tier architecture comprising of macro-base stations (MBSs) and small-base stations (SBSs). MBS and SBS are deployed to accommodate a large number of users for ...

The paper is devoted to metric connections with parallel skew-symmetric torsion in Lorentzian signature. This is motivated by recent progress in the Riemannian signature and by possible applications to supergravity theories. ...

Let (F-n)(n >= 0) be the Fibonacci sequence. The order of appearance z(n) of an integer n >= 1 is defined by z (n) = min{k >= 1 : n vertical bar F-k}. Marques, and Somer and Krizek proved that all fixed points of the ...

Many mathematicians have been interested in the study of recursive sequences. Among them, a class of "chaotic" sequences are named "meta-Fibonacci sequences." The main example of meta-Fibonacci sequence was introduced by ...

Taking into account the importance of the unified theory of quantum mechanics and gravity, and the existence of a minimal length of the order of the Planck scale, we consider a modified Schroedinger equation resulting from ...

Ultraviolet communication (UVC) is a promising technology due to its ability to operate in non-line-of-sight (NLOS) mode thereby eliminating the pointing acquisition and tracking (PAT) requirement as needed by infrared and ...

In 2008, I. Wloch introduced a new generalization of Pell numbers. She used special initial conditions so that this sequence describes the total number of special families of subsets of the set ofnintegers. In this paper, ...