@article{lop-caf-car-nie-08-aa-noilit,
  author = {L{\'o}pez, Juan A. and Caffarena, Gabriel and Carreras, Carlos and Nieto-Taladriz, Octavio},
  title = {Fast and Accurate Computation of the Round-Off Noise of Linear Time-Invariant Systems},
  journal = {IET Circuits, Devices {\&} Systems},
  volume = {2},
  number = {4},
  year = 2008,
  month = aug,
  doi = {10.1049/iet-cds:20070198},
  comment = {Uses AA extensively for signal and image processing.},
  abstract = {From its introduction in the last decade, affine arithmetic (AA) has shown beneficial properties to speed up the time of computation procedures in a wide variety of areas. In the determination of the optimum set of finite word-lengths of the digital signal processing systems, the use of AA has been recently suggested by several authors, but the existing procedures provide pessimistic results. The aim is to present a novel approach to compute the round-off noise (RON) using AA which is both faster and more accurate than the existing techniques and to justify that this type of computation is restricted to linear time-invariant systems. By a novel definition of AA-based models, this is the first methodology that performs interval-based computation of the RON. The provided comparative results show that the proposed technique is faster than the existing numerical ones with an observed speed-up ranging from 1.6 to 20.48, and that the application of discrete noise models leads to results up to five times more accurate than the traditional estimations.},
  url = {{\url{https://www.academia.edu/download/56204293/iet-cds_3A2007019820180331-30513-jcv4fs.pdf}}}
}