View Item 
        •   Utrecht University Student Theses Repository Home
        • UU Theses Repository
        • Theses
        • View Item
        •   Utrecht University Student Theses Repository Home
        • UU Theses Repository
        • Theses
        • View Item
        JavaScript is disabled for your browser. Some features of this site may not work without it.

        Browse

        All of UU Student Theses RepositoryBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

        Truncation based model order reduction techniques and their application to digital audio filters

        Thumbnail
        View/Open
        BachelorThesisDavidDdeBest.pdf (978.8Kb)
        Publication date
        2020
        Author
        Best, D.D. de
        Metadata
        Show full item record
        Summary
        Model order reduction aims to reduce the order of high-order dynamical systems while preserving most of their input-output behaviour. In this thesis, we will give a short introduction to model order reduction and examine two methods in detail that are considered truncation techniques, balanced truncation and modal truncation. We will discuss some of their properties and apply these methods to a real-life scenario by trying to reduce the order of several digital audio filters. These filters are models that process a digital audio signal to generate varying sounds. Next, we will compare the results of different reductions in terms of a computable error bound on the approximations. We will see that for our specific type of filter, balanced truncation seems to be able to provide the best reductions, where we can sometimes find an accurate approximation with an order reduced by more than 50%.
        URI
        https://studenttheses.uu.nl/handle/20.500.12932/38356
        Collections
        • Theses
        Utrecht university logo