Elimination of limit cycles due to two's complement quantization in normal form digital filters

Guo Fang Xu, Tamal Bose

Research output: Contribution to journalArticle

3 Scopus citations


Normal form digital filters are attractive due to their desirable properties when implemented in finite wordlength arithmetic. These filters are free from all overflow limit cycles and quantization limit cycles when magnitude truncation is used. However, when two's complement truncation (TCT) quantization is used, limit cycles can still exist. In this paper, it is shown that when block structures are used, normal form digital filters can be made free of limit cycles due to TCT quantization. It is shown that this can be done with a small block size. An algorithm is also presented to find the minimum block size required for a given filter. Some examples are given to illustrate the results.

Original languageEnglish (US)
Pages (from-to)2891-2895
Number of pages5
JournalIEEE Transactions on Signal Processing
Issue number12
StatePublished - Dec 1 1997
Externally publishedYes


ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

Cite this