Finite word length effect and stability of multidimensional digital filters

@article{Swamy1981FiniteWL,
  title={Finite word length effect and stability of multidimensional digital filters},
  author={M. Narayana Swamy and L. M. Roytman and J. F. Delansky},
  journal={Proceedings of the IEEE},
  year={1981},
  volume={69},
  pages={1370-1372}
}
In this paper, the effect of multiplier quantization on unstable transition in n-dimensional filters is studied using a qualitative model. This model is used to determine a priori, for a worst-case design, the finite word length of the multipliers sufficient to retain Stability.