@InProceedings{8081383,
  author = {A. Bernardini and A. Sarti},
  booktitle = {2017 25th European Signal Processing Conference (EUSIPCO)},
  title = {Canonical piecewise-linear representation of curves in the wave digital domain},
  year = {2017},
  pages = {1125-1129},
  abstract = {Global, explicit representations of nonlinearities are desirable when implementing nonlinear Wave Digital (WD) structures, as they free us from the burden of managing look-up tables, performing data interpolation and/or using iterative solvers. In this paper we present a method that, starting from certain parameterized PieceWise-Linear (PWL) curves in the Kirchhoff domain, allows us to express them in the WD domain using a global and explicit representation. We will show how some curves (multi-valued functions in the Kirchhoff domain) can be represented as functions in canonical PWL form in the WD domain. In particular, we will present a procedure, which, in the most general case, also returns the conditions on the reference port resistance under which it is possible to find explicit mappings in the WD domain.},
  keywords = {interpolation;iterative methods;piecewise linear techniques;table lookup;wave digital domain;data interpolation;iterative solvers;Kirchhoff domain;explicit representation;canonical PWL form;look-up tables;curves canonical piecewise-linear representation;nonlinear wave digital structures;parameterized piecewise-linear curves;WD domain explicit mappings;Indexes;Ports (Computers);Resistance;Europe;Signal processing;Immune system;Table lookup},
  doi = {10.23919/EUSIPCO.2017.8081383},
  issn = {2076-1465},
  month = {Aug},
  url = {https://www.eurasip.org/proceedings/eusipco/eusipco2017/papers/1570346821.pdf},
}

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