Abstract

It is suggested that specified robustness criteria and the sensitivity requirement in multidimensional signal processing can be satisfied using a design based on concepts of passivity (including incremental passivity) and losslessness. The resulting algorithms represent what can be called discrete passive dynamical systems. The underlying principles are the same for multidimensional (MD) wave digital filters, and, adopting some plausible assumptions, it appears that there does not exist any other way to generate useful 1-D or MD discrete passive dynamical systems. A wide field of new applications has been opened up recently by applying these principles to numerical integration of partial differential equations. It is shown how the principles presented can be applied to various types of electrical partial differential equations (including Maxwell's equations) and to the partial differential equations of acoustics. >

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.