### 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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Title of host publication | Midwest Symposium on Circuits and Systems |

Editors | G. Cameron, M. Hassoun, A. Jerdee, C. Melvin |

Publisher | IEEE |

Pages | 631-634 |

Number of pages | 4 |

Volume | 2 |

Publication status | Published - 1996 |

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 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Midwest Symposium on Circuits and Systems*(Vol. 2, pp. 631-634). IEEE.

**Design of nearly linear phase IIR digital filters with prescribed log magnitude response.** / Okuda, Masahiro; Ikehara, Masaaki; Takahashi, Shin ichi.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Midwest Symposium on Circuits and Systems.*vol. 2, IEEE, pp. 631-634, Proceedings of the 1996 IEEE 39th Midwest Symposium on Circuits & Systems. Part 3 (of 3), Ames, IA, USA, 96/8/18.

}

TY - GEN

T1 - Design of nearly linear phase IIR digital filters with prescribed log magnitude response

AU - Okuda, Masahiro

AU - Ikehara, Masaaki

AU - Takahashi, Shin ichi

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0030354241&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030354241&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0030354241

VL - 2

SP - 631

EP - 634

BT - Midwest Symposium on Circuits and Systems

A2 - Cameron, G.

A2 - Hassoun, M.

A2 - Jerdee, A.

A2 - Melvin, C.

PB - IEEE

ER -