Results 1 to 10 of about 26,581 (261)
The Theory of Quaternion Orthogonal Designs
IEEE Transactions on Signal Processing, 2008 Over the past several years, there has been a renewed interest in complex orthogonal designs for their application in space-time block coding. Motivated by the success of this application, this paper generalizes the definition of complex orthogonal designs by introducing orthogonal designs over the quaternion domain. This paper builds a theory of these
Jennifer Seberry +2 more
exaly +4 more sources
Designs, Codes, and Cryptography, 2017 The notion of unbiased orthogonal designs is introduced as a generalization among unbiased Hadamard matrices, unbiased weighing matrices and quasi-unbiased weighing matrices. We provide upper bounds and several constructions for mutually unbiased orthogonal designs. As an application, mutually quasi-unbiased weighing matrices for various parameters are
Hadi Kharaghani +2 more
exaly +3 more sources
On the orthogonal designs of order 24
Discrete Applied Mathematics, 2000 Using a new method, all 18 remaining full orthogonal designs of order 24 in four variables (unsolved for more than 20 years) are constructed. The last three remaining orthogonal designs of order 24 in three variables are obtained as a special case of three of these designs.
Hadi Kharaghani
exaly +3 more sources
Order-of-Addition Orthogonal Arrays with High Strength
Mathematics, 2022 In order-of-addition experiments, the full order-of-addition designs are often unaffordable due to their large run sizes. The problem of finding efficient fractional OofA designs arises.
Shengli Zhao, Zehui Dong, Yuna Zhao
doaj +1 more source
Sichuan jingshen weisheng, 2022 The purpose of this paper was to introduce the orthogonal design and its quantitative data analysis of variance and the SAS implementation. From the perspective of degrees of freedom， the orthogonal design could be divided into the saturated orthogonal ...
Hu Chunyan, Hu Liangping
doaj +1 more source
Quaternion Codes in MIMO System of Dual-Polarized Antennas
Applied Sciences, 2021 The use of quaternion orthogonal designs (QODs) to describe point-to-point communication among dual-polarized antennas has the potential to provide higher rate orthogonal and quasi-orthogonal complex designs exploiting polarization diversity among space ...
Sajid Ali +2 more
doaj +1 more source
Mixture Designs Generated by Orthogonal Arrays Developed Using Difference Schemes [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2020 This paper presents an algorithm for constructing mixture designs based on orthogonal arrays developed using difference schemes. The algorithm can also be applied to constrained mixture experiments.
Poonam Singh, Vandana Sarin, Neha Midha
doaj +1 more source
Construction of Column-Orthogonal Designs with Two-Dimensional Stratifications
Mathematics, 2023 For the design of computer experiments, column orthogonality and space-filling are two desirable properties. In this paper, we develop methods for constructing a new class of column-orthogonal designs (ODs) with two-dimensional stratifications on finer ...
Song-Nan Liu, Min-Qian Liu, Jin-Yu Yang
doaj +1 more source
Sichuan jingshen weisheng, 2022 The purpose of this paper was to introduce the fractional factorial design and its quantitative data analysis of variance and the SAS implementation. The fractional factorial designs were very similar to the factorial designs and the orthogonal designs ...
Hu Chunyan, Hu Liangping
doaj +1 more source
Explicit orthogonal and unitary designs
2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS), 2023 We give a strongly explicit construction of $\varepsilon$-approximate $k$-designs for the orthogonal group $\mathrm{O}(N)$ and the unitary group $\mathrm{U}(N)$, for $N=2^n$. Our designs are of cardinality $\mathrm{poly}(N^k/\varepsilon)$ (equivalently, they have seed length $O(nk + \log(1/\varepsilon)))$; up to the polynomial, this matches the number ...
Ryan O'Donnell +2 more
openaire +2 more sources