Reversible Digital Filters Total Parametric Sensitivity Optimization using Non-canonical Hypercomplex Number Systems
For digital signal processing, this method offers a new approach to reduce sensitivity in filter design, though the practical impact is unclear without concrete numerical results.
The paper proposes a digital filter construction method using non-canonical hypercomplex number systems to optimize parametric sensitivity, showing that systems with more non-zero structure constants improve sensitivity.
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.