In this paper, the Peak to mean Envelope Power (PMEPR) of the OFDM codes generated from an 16-QAM constellation is discussed. Maintaining the same level of error correction properties, these codes achieve higher information rate. A new set of 16-QAM Golay sequences having PMEPR bounded up to 3dB is defined. Many recursive structures are found to generate Super Golay sequences. The recursive alg...

Using a simple factorization scheme we obtain the recurrence-shift relations of the polynomial functions of Aldaya, Bisquert and Navarro-Salas (ABNS), F N n (ω c √ N x), i.e., one-step first-order differential relations referring to N , as follows. Firstly, we apply the scheme to the polynomial degree confirming the recurrence relations of Aldaya, Bisquert and Navarro-Salas, but also obtaining ...

the principal aim of this paper is to serve the numerical solution of an integral-algebraic equation (iae) by using the bernoulli polynomials and the residual correction method. after implementation of our scheme, the main problem would be transformed into a system of algebraic equations such that its solutions are the unknown bernoulli coefficients. thismethod gives an analytic solution when t...

Keywords: Hurwitz–Lerch Zeta function Lipschitz–Lerch Zeta function Lerch Zeta function Hurwitz Zeta function Riemann Zeta function Legendre chi function Bernoulli polynomials Bernoulli numbers Discrete Fourier transform a b s t r a c t It is shown that there exists a companion formula to Srivastava's formula for the Lipschitz–Lerch Zeta function [see H.M. Srivastava, Some formulas for the Bern...

the current paper contributes a novel framework for solving a class of linear matrix differential equations. to do so, the operational matrix of the derivative based on the shifted bernoulli polynomials together with the collocation method are exploited to reduce the main problem to system of linear matrix equations. an error estimation of presented method is provided. numerical experiments are...

lanczos-type algorithms are well known for their inherent instability. they typically breakdown occurs when relevant orthogonal polynomials do not exist. current approaches to curing breakdown rely on jumping over the non-existent polynomials to resume computation. this may have to be used many times during the solution process. we suggest an alternative to jumping, which consists of restarting...

The edge detour index polynomials were recently introduced for computing the edge detour indices. In this paper we find relations among edge detour polynomials for the 2-dimensional graph of $TUC_4C_8(S)$ in a Euclidean plane and $TUC4C8(S)$ nanotorus.

<p style='text-indent:20px;'>Recently, two-dimensional (2-D) arrays with good correlation have been used in MIMO systems. In this paper, we investigate new 2-D Golay complementary array sets (GCASs), whose aperiodic auto-correlation sums are zero for all nonzero shifts. Firstly, based on the generalized Boolean functions, propose a direct construction of GCASs. Secondly, using horizontal ...

In [2], Calderbank and Sloane investigated codes over the p-adics and examined lifts of codes over Zp to Zpe and to the p-adics. They described the [8, 4, 5] 2-adic Hamming code, the [24, 12, 13] 2-adic Golay code, and the [12, 6, 7] 3-adic Golay code. These three codes are all self-dual and MDS. In [3], Dougherty, Kim, and Park gave the weight distribution of the projections of these three cod...