### Abstract

Original language | English |
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Title of host publication | Proceedings of the 15th ProRISC, Annual Workshop on Circuits, Systems and Signal Processing (ProRISC 2004) 25 - 26 November 2004, Veldhoven, the Netherlands |

Place of Publication | Utrecht, the Netherlands |

Publisher | STW Technology Foundation |

Pages | 133-137 |

ISBN (Print) | 90-73461-43-X |

Publication status | Published - 2004 |

Event | 2004 Annual Workshop on Circuits, Systems and Signal Processing (ProRISC 2004) - Veldhoven, Netherlands Duration: 25 Nov 2004 → 26 Nov 2004 |

### Conference

Conference | 2004 Annual Workshop on Circuits, Systems and Signal Processing (ProRISC 2004) |
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Abbreviated title | ProRISC 2004 |

Country | Netherlands |

City | Veldhoven |

Period | 25/11/04 → 26/11/04 |

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### Cite this

*Proceedings of the 15th ProRISC, Annual Workshop on Circuits, Systems and Signal Processing (ProRISC 2004) 25 - 26 November 2004, Veldhoven, the Netherlands*(pp. 133-137). Utrecht, the Netherlands: STW Technology Foundation.

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*Proceedings of the 15th ProRISC, Annual Workshop on Circuits, Systems and Signal Processing (ProRISC 2004) 25 - 26 November 2004, Veldhoven, the Netherlands.*STW Technology Foundation, Utrecht, the Netherlands, pp. 133-137, 2004 Annual Workshop on Circuits, Systems and Signal Processing (ProRISC 2004), Veldhoven, Netherlands, 25/11/04.

**The direct wave form digital filter structure: an easy alternative for the direct form.** / Ritzerfeld, J.H.F.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - The direct wave form digital filter structure: an easy alternative for the direct form

AU - Ritzerfeld, J.H.F.

PY - 2004

Y1 - 2004

N2 - Although the Direct Form is still widely used in IIR digital filter design, this structure is known to have a high coefficient sensitivity and to produce high levels of quantization noise. Even if only second-order sections are used to design higher order filters, the sections with poles close to the unit circle and/or with angles close to 0 or p have unacceptably high noise levels, specifically in fixed-point applications. As an easy alternative for the second-order Direct Form we present the second-order DirectWave Form. Comparable to the Direct Form, this structure uses only five multipliers which are directly linked to the five coefficients of a general second-order transfer function. It is shown how the Direct Wave From can be properly scaled with an L2 scaling measure as well as with the more conservative L1 scaling measure. It is then shown, by looking at the secondorder modes of a general second-order transfer function that the DirectWave Form has a superior noise behaviour that is close to being optimal (within 3dB). The Direct Wave Form is also shown to be overflow stable and free from limit cycles.

AB - Although the Direct Form is still widely used in IIR digital filter design, this structure is known to have a high coefficient sensitivity and to produce high levels of quantization noise. Even if only second-order sections are used to design higher order filters, the sections with poles close to the unit circle and/or with angles close to 0 or p have unacceptably high noise levels, specifically in fixed-point applications. As an easy alternative for the second-order Direct Form we present the second-order DirectWave Form. Comparable to the Direct Form, this structure uses only five multipliers which are directly linked to the five coefficients of a general second-order transfer function. It is shown how the Direct Wave From can be properly scaled with an L2 scaling measure as well as with the more conservative L1 scaling measure. It is then shown, by looking at the secondorder modes of a general second-order transfer function that the DirectWave Form has a superior noise behaviour that is close to being optimal (within 3dB). The Direct Wave Form is also shown to be overflow stable and free from limit cycles.

M3 - Conference contribution

SN - 90-73461-43-X

SP - 133

EP - 137

BT - Proceedings of the 15th ProRISC, Annual Workshop on Circuits, Systems and Signal Processing (ProRISC 2004) 25 - 26 November 2004, Veldhoven, the Netherlands

PB - STW Technology Foundation

CY - Utrecht, the Netherlands

ER -