A simple orthogonal array OA(q2n−1, q2n−2, q, 2) is constructed by using the action of a large subgroup of PGL(n + 1, q2) on a set of non degenerate Hermitian varieties in PG(n, q2).

Systems of k-ary operations, k > 2, generalizing orthogonal sets are considered. These systems have the following property: every k successive k-ary operations of the system are orthogonal. We call these systems successively orthogonal, establish some properties, give examples and methods of construction of these systems.

In this paper, antenna isolations for MIMO repeater system using orthogonal polarization is evaluated by the computer simulation. From the results, the isolation of the orthogonal polarization is higher than that of the co-polarization. Therefore, the MIMO repeater using orthogonal polarization technique expects to have cost effective and high performance.

For a multi-carrier spread-spectrum (MC-SS) system, the inner spreading can be optimized by applying M -ary orthogonal modulation. In this paper, we investigate the concatenation of maximum likelihood (ML) Viterbi decoding with M -ary orthogonal demodulation in a MC-SS system. The system operates over a frequency-selective Rayleigh fading indoor channel in the uplink. We first evaluate the bit ...

An (r,λ)-design with mutually balanced nested subdesigns ( for brevity, (r,λ)-design with MBN ) is introduced firstly in this paper. It is shown that an (r,λ)design with MBN is equivalent to a balanced array of strength 2 with s symbols. By the use of a nested design and an orthogonal array, a construction of an (r,λ)design with MBN is given. A direct construction of such an (r,λ)-design, based...

The main purpose of this research is to extend some fixed point results in orthogonal metric spaces. For this purpose, first, we investigate new mappings in this spaces. We introduce the new notions of functions. Then by using it, we define contractive mappings and then we establish and prove some fixed point theorems for such mappings in orthogonal metric spaces. Then by utilizing examples of ...

A three-step wavelet Galerkin method based on Taylor series expansion in time is proposed. The scheme is third-order accurate in time and O(2−jp) accurate in space. Unlike Taylor–Galerkin methods, the present scheme does not contain any new higher-order derivatives which makes it suitable for solving non-linear problems. The compactly supported orthogonal wavelet bases D6 developed by Daubechie...