Abstract
This paper develops a connection between linear time-varying state equations and minimum order input–output equations for linear time-varying digital filters. A procedure is presented for computing a minimum order input–output equation from a given linear time-varying state equation. The linear time-varying input–output equations and state equations considered in this paper have time-varying orders and time-varying state dimensions, respectively. These models are appropriate for representing practical signal processing systems and are efficient in the computation and implementation of digital filters. It is shown that, in contrast to linear time-invariant filters, the solution for the minimum time-varying order input–output equation can be non-unique.
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 callDisclaimer: 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.
