Order evaluation to new elementary operation approach for MIMO multidimensional systems

ABSTRACT

A new elementary operation approach (NEOA) for Roesser model realisation of multi-input and multi-output (MIMO) multidimensional (n-D) systems has been recently proposed, which can generate a lowest possible realisation but requires trying different processing manners for various possible realisations with different structures and orders. This paper develops two kinds of novel order evaluation methods and the corresponding algorithms for the realisation procedures A and B of the NEOA, respectively, such that the best processing manner for the lowest possible realisation can be determined with much less computational complexity. These new results enable us, for the first time, to know exactly the order of a realisation before actually conducting the realisation, and thus provide us a novel and high-efficiency way to explore the lowest possible realisation problem for MIMO n-D systems. Examples are given throughout this paper to illustrate the main idea as well as effectiveness of the proposed methods.

KEYWORDS:

• MIMO n-D systems
• Roesser model realisation
• order evaluation

Acknowledgments

The authors would like to thank the Associate Editor and the anonymous reviewers for their insightful comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was partly supported by the National Natural Science Foundation of China [grant number 61104122], [grant number 61374160], [grant number 61627810]; Fundamental Research Funds for the Central Universities [grant number lzujbky-2018]; Japan Society for the Promotion of Science [grant number JSPS.KAKENHI15K06072].