### Abstract

In this paper, we propose a new design algorithm for nearly linear phase 2-D IIR (FIR) 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's possible to control log magnitude and phase response independently. The gradient vector of the proposed error function is easily calculated as the closed form solution because of the nature, in which the real and imaginary part of the logarithm of a complex 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 | IEEE Region 10 Annual International Conference, Proceedings/TENCON |

Publisher | IEEE |

Pages | 388-393 |

Number of pages | 6 |

Volume | 1 |

Publication status | Published - 1996 |

Event | Proceedings of the 1996 IEEE Region 10 TENCON - Digital Signal Processing Applications Conference. Part 2 (of 2) - Perth, Aust Duration: 1996 Nov 26 → 1996 Nov 29 |

### Other

Other | Proceedings of the 1996 IEEE Region 10 TENCON - Digital Signal Processing Applications Conference. Part 2 (of 2) |
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City | Perth, Aust |

Period | 96/11/26 → 96/11/29 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*IEEE Region 10 Annual International Conference, Proceedings/TENCON*(Vol. 1, pp. 388-393). IEEE.

**Complex approximation of 2-D digital filters with prescribed log magnitude and phase response.** / Okuda, Masahiro; Matsuda, Kaori; Ikehara, Masaaki; Takahashi, Shin ichi.

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

*IEEE Region 10 Annual International Conference, Proceedings/TENCON.*vol. 1, IEEE, pp. 388-393, Proceedings of the 1996 IEEE Region 10 TENCON - Digital Signal Processing Applications Conference. Part 2 (of 2), Perth, Aust, 96/11/26.

}

TY - GEN

T1 - Complex approximation of 2-D digital filters with prescribed log magnitude and phase response

AU - Okuda, Masahiro

AU - Matsuda, Kaori

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 2-D IIR (FIR) 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's possible to control log magnitude and phase response independently. The gradient vector of the proposed error function is easily calculated as the closed form solution because of the nature, in which the real and imaginary part of the logarithm of a complex 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 2-D IIR (FIR) 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's possible to control log magnitude and phase response independently. The gradient vector of the proposed error function is easily calculated as the closed form solution because of the nature, in which the real and imaginary part of the logarithm of a complex 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=0030312155&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030312155&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0030312155

VL - 1

SP - 388

EP - 393

BT - IEEE Region 10 Annual International Conference, Proceedings/TENCON

PB - IEEE

ER -