Sampling Discrete-time Piecewise Bandlimited Signals

نویسندگان

  • Martin Vetterli
  • Pina Marziliano
  • Thierry Blu
چکیده

We consider sampling discrete-time periodic signals which are piecewise bandlimited, that is, a signal that is the sum of a bandlimited signal with a piecewise polynomial signal containing a finite number of transitions. These signals are not bandlimited and thus the Shannon sampling theorem for bandlimited signals can not be applied. In this paper, we derive sampling and reconstruction schemes based on those developed in [1, 6, 7] for piecewise polynomial signals which take into account the extra degrees of freedom due to the bandlimitedness.

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تاریخ انتشار 2001