publication . Other literature type . Conference object . 2017

Perfect sequences over the real quaternions

Oleg Kuznetsov;
Open Access English
  • Published: 26 May 2017
Abstract
In this Thesis, perfect sequences over the real quaternions are first considered. Definitions for the right and left periodic autocorrelation functions are given, and right and left perfect sequences introduced. It is shown that the right (left) perfection of any sequence implies the left (right) perfection, so concepts of right and left perfect sequences over the real quaternions are equivalent. Unitary transformations of the quaternion space ℍ are then considered. Using the equivalence of the right and left perfection, it is proved that unitary transformations of the quaternion space ‘respect’ perfection of a sequence. Consequently, any symmetry transformation...
Subjects
free text keywords: Uncategorized, monash:63242, thesis(doctorate), ethesis-20110524-134151, quaternions, perfect sequences, open access, 2010, 1959.1/473837, Quaternion, Unitary transformation, Equivalence (measure theory), Periodic graph (geometry), Pure mathematics, Unitary state, Mathematics, Vector space, Algebra, Number theory, Complex number
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Other literature type . 2017
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http://dx.doi.org/10.4225/03/5...
Other literature type . 2017
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publication . Other literature type . Conference object . 2017

Perfect sequences over the real quaternions

Oleg Kuznetsov;