### Abstract

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 language | English (US) |
---|---|

Pages (from-to) | 28912895 |

Number of pages | 1 |

Journal | IEEE Transactions on Signal Processing |

Volume | 45 |

Issue number | 12 |

State | Published - 1997 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Signal Processing

### Cite this

*IEEE Transactions on Signal Processing*,

*45*(12), 28912895.

**Elimination of limit cycles due to two's complement quantization in normal form digital filters.** / Xu, Guo Fang; Bose, Tamal.

Research output: Contribution to journal › Article

*IEEE Transactions on Signal Processing*, vol. 45, no. 12, pp. 28912895.

}

TY - JOUR

T1 - Elimination of limit cycles due to two's complement quantization in normal form digital filters

AU - Xu, Guo Fang

AU - Bose, Tamal

PY - 1997

Y1 - 1997

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33747651017&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33747651017&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33747651017

VL - 45

SP - 28912895

JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

SN - 1053-587X

IS - 12

ER -