### Abstract

In this paper, we propose a new design algorithm for nearly linear phase IIR digital filters with prescribed log magnitude response. The error function used here is the sum of the weighted log magnitude-squared error and phase-squared error, and so it is possible to control log magnitude and phase response directly. The gradient vector of the proposed error function is easily calculated as the closed form solution because of its nature, in which the real and imaginary part of the logarithm of a complex transfer transfer function corresponds to the log magnitude and phase response, respectively. This algorithm is simple and converges quickly. Finally, we show the validity of the proposed algorithm with some examples.

Original language | English |
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Pages | 631-634 |

Number of pages | 4 |

Publication status | Published - 1996 Dec 1 |

Event | Proceedings of the 1996 IEEE 39th Midwest Symposium on Circuits & Systems. Part 3 (of 3) - Ames, IA, USA Duration: 1996 Aug 18 → 1996 Aug 21 |

### Other

Other | Proceedings of the 1996 IEEE 39th Midwest Symposium on Circuits & Systems. Part 3 (of 3) |
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City | Ames, IA, USA |

Period | 96/8/18 → 96/8/21 |

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Electrical and Electronic Engineering

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## Cite this

*Design of nearly linear phase IIR digital filters with prescribed log magnitude response*. 631-634. Paper presented at Proceedings of the 1996 IEEE 39th Midwest Symposium on Circuits & Systems. Part 3 (of 3), Ames, IA, USA, .