arXiv subjects

Iana V. Khitsko

Publications and source records attributed to Iana V. Khitsko.

3 recordsLinked to original sources

arXiv2015

Reversible Digital Filters Total Parametric Sensitivity Optimization using Non-canonical Hypercomplex Number Systems

Digital filter construction method, which is optimal by parametric sensitivity, based on using of non-canonical hypercomplex number systems is proposed and investigated. It is shown that the use of non-canonical hypercomplex number system with greater number of non-zero structure constants in multiplication table can significantly improve the sensitivity of the digital filter.

math.NA↗

arXiv2014

Some isomorphic classes for noncanonical hypercomplex number systems of dimension 2

Building of some isomorphic classes for noncanonical hypercomplex number systems o dimension 2 is described. In general case, such systems with specific constraints to structural constants can be isomorphic to complex, dual or double number system. Isomorphic transition between noncanonical hypercomplex number systems of the general form and diagonal form is built.

math.NA↗

arXiv2014

Inifnite hypercomplex number system factorization methods

The method of obtaining the set of noncanonical hypercomplex number systems by conversion of infinite hypercomplex number system to finite hypercomplex number system depending on multiplication rules and factorization method is described. Systems obtained by this method starting from the 3rddimension are noncanonical. The obtained systems of even dimension can be re-factorized. As a result of it hypercomplex number system of two times less dimension are got.

math.NA↗