Vetterli, MartinMarziliano, PinaBlu, Thierry2005-04-182005-04-182005-04-18200110.1109/ICASSP.2001.940694https://infoscience.epfl.ch/handle/20.500.14299/213050WOS:000173806500975We 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.text::conference output::conference proceedings::conference paper