Unit Consistency, Generalized Inverses, and Effective System Design Methods
For system designers, this work introduces a new design principle and mathematical tools, but the results are preliminary and lack concrete performance comparisons.
This paper proposes unit consistency as a system design principle, deriving unit-consistent generalized matrix inverses and unit-invariant matrix decompositions, and demonstrates applications in nonlinear system identification and image database retrieval with robustness to multiplicative noise.
This paper examines the potential role of unit consistency as a system design principle. Unit-consistent generalized matrix inverses and unit-invariant matrix decompositions are derived in support of this principle. Applications of the methods described are illustrated with examples relating to nonlinear system identification and robustness to multiplicative noise for image database retrieval.