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

2015/01/25 by Yakiv O. Kalinovsky, Kalinovsky, Yakiv O., Yuliya E. Boyarinova +3 · 1 citation
Computer Science · Engineering · #Advanced Computational Techniques in Science and Engineering #Advanced Data Processing Techniques #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical Methods and Algorithms

paper · pdf · doi:10.48550/arxiv.1506.01701

openalex publication_date 2015/01/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

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• On a novel 3D hypercomplex number system

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