@inproceedings{lop-caf-car-nie-04-aa-cycles,
  author = {L{\'o}pez, J. A. and Caffarena, G. and Carreras, C. and Nieto-Taladriz, O.},
  title = {Analysis of limit cycles by means of affine arithmetic computer-aided tests}, 
  booktitle = {2004 12th European Signal Processing Conference}, 
  location = {Vienna, Austria},
  year = 2004,
  volume = {},
  number = {},
  pages = {991-994},
  doi = {},
  abstract = {Modern analysis of the finite word-length properties of DSP algorithms is typically carried out using CAD tools. The objectives of this paper are threefold: (i) to show that affine arithmetic is specially well-suited for quantization analysis of digital filters; (ii) to present a new tool based on multiple-precision affine arithmetic elements that allows fast characterization of the signal ranges in linear systems; and (iii) to develop an exhaustive-search algorithm that detects limit cycles and requires less computation time than existing approaches. Final comparative results confirm the validity of the limit cycles detection algorithm on second-order shift and delta-operator realizations.}
}