Space-Time Code Design Using Quaternions, Octonions and Other Non-Associative Structures
نویسندگان
چکیده
منابع مشابه
Quaternions and Octonions in Mechanics
In fact, this group is Spin(3), the 2-fold cover of SO(3), the group of rotations of R. This has been known for quite some time and is perhaps the simplest realization of Hamilton’s expectations about the potential of quaternions for physics. One reason for the renewed interest is the fact that the resulting substitution of matrices by quaternions speeds up considerably the numerical calculatio...
متن کاملSome remarks regarding Quaternions and Octonions
In this paper, we present some applications of quaternions and octonions. We present the real matrix representations for complex octonions and some of their properties which can be used in computations where these elements are involved. Moreover, we give a set of invertible elements in split quaternion algebras and in split octonion algebras.
متن کاملOn Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry
Conway and Smith’s book is a wonderful introduction to the normed division algebras: the real numbers (R), the complex numbers (C), the quaternions (H) and the octonions (O). The first two are well-known to every mathematician. In constrast, the quaternions and especially the octonions are sadly neglected, so the authors rightly concentrate on these. They develop these number systems from scrat...
متن کاملSpace-Time Code Design and Its Applications in Wireless Networks
This thesis has two main contributions: the designs of differential/non-differential unitary spacetime codes for multiple-antenna systems and the analysis of the diversity gain when using spacetime coding among nodes in wireless networks. Capacity has long been a bottleneck in wireless communications. Recently, multiple-antenna techniques have been used in wireless communications to combat the ...
متن کاملJordan structures and non-associative geometry
We give an overview over constructions of geometries associated to Jordan structures (algebras, triple systems and pairs), featuring analogs of these constructions with the Lie functor on the one hand and with the approach of noncommutative geometry on the other hand.
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ژورنال
عنوان ژورنال: International journal of electrical and computer engineering systems
سال: 2020
ISSN: 1847-7003,1847-6996
DOI: 10.32985/ijeces.10.2.5