Vetterli, MartinMartinVetterliMarziliano, PinaPinaMarzilianoTHIERRY BLU2024-03-082024-03-082001-01-010-7803-7041-415206149https://scholars.lib.ntu.edu.tw/handle/123456789/640669We consider the problem of sampling signals which are not bandlimited, but still have a finite number of degrees of freedom per unit of time, such as, for example, piecewise polynomials. We demonstrate that by using an adequate sampling kernel and a sampling rate greater or equal to the number of degrees of freedom per unit of time, one can uniquely reconstruct such signals. This proves a sampling theorem for a wide class of signals beyond bandlimited signals. Applications of this sampling theorem can be found in signal processing, communication systems and biological systems.[SDGs]SDG16journal article10.1109/ICASSP.2001.9406942-s2.0-0034848294https://api.elsevier.com/content/abstract/scopus_id/0034848294