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

TL;DR

This paper introduces a method for designing digital filters with optimal parametric sensitivity by leveraging non-canonical hypercomplex number systems, leading to improved filter robustness.

Contribution

It proposes a novel digital filter construction approach using non-canonical hypercomplex number systems to enhance sensitivity optimization.

Findings

Using non-canonical hypercomplex systems increases the number of non-zero structure constants.

Enhanced sensitivity of digital filters is achieved with this approach.

The method demonstrates significant improvements over traditional filter design techniques.

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.