L2 and L∞ optimal downsampling from system theoretic viewpoint

Hanumant Shekhawat, Gjerrit Meinsma

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    Abstract

    Downsampling is the process of reducing the sampling rate of a discrete signal. It has many applications in image processing, audio, radar etc. The reduction factor of the sampling rate can be an integer or a rational greater than one. This paper describes how sampled data system theory can be used to design an L2/L∞ optimal downsampler which reduces the sampling rate by an positive integer factor M from a given fast sampler sampling at h′ = h/M.
    Original languageUndefined
    Title of host publicationProceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems
    Place of PublicationMelbourne
    PublisherThink Business Events
    Pages215
    Number of pages8
    ISBN (Print)978-0-646-58062-3
    Publication statusPublished - Jul 2012
    Event20th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2012 - Melbourne, Australia
    Duration: 9 Jul 201213 Jul 2012
    Conference number: 20

    Publication series

    Name
    PublisherThink Business Events

    Conference

    Conference20th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2012
    Abbreviated titleMTNS
    CountryAustralia
    CityMelbourne
    Period9/07/1213/07/12

    Keywords

    • EWI-22849
    • Sampled-data systems
    • IR-83490
    • METIS-296202
    • Lifting

    Cite this

    Shekhawat, H., & Meinsma, G. (2012). L2 and L∞ optimal downsampling from system theoretic viewpoint. In Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (pp. 215). Melbourne: Think Business Events.