### Abstract

This paper addresses the problem of obtaining all stable allpass filters that match the given phase characteristics in an optimal manner. In this context, it is shown here that the class of all stable allpass systems, that match the associated partial impulse response sequence can be parameterized using the theory of bounded functions. The above parameterization is utilized here to design stable allpass filters with prescribed phase responses. The given phase characteristics is first utilized to obtain its partial impulse response sequence and a parametric form of all stable allpass functions, and a least mean square procedure is then employed on its phase characteristics for further optimality. As a part of our analysis, it is also shown here that there are no stable allpass solutions in the sense of classical Pade approximation.

Original language | English (US) |
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Title of host publication | IEEE Pacific RIM Conference on Communications, Computers, and Signal Processing - Proceedings |

Publisher | IEEE |

Pages | 391-394 |

Number of pages | 4 |

State | Published - 1995 |

Event | Proceedings of the 1995 IEEE Pacific RIM Conference on Communications, Computers, and Signal Processing - Victoria, BC, Can Duration: May 17 1995 → May 19 1995 |

### Other

Other | Proceedings of the 1995 IEEE Pacific RIM Conference on Communications, Computers, and Signal Processing |
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City | Victoria, BC, Can |

Period | 5/17/95 → 5/19/95 |

### Fingerprint

### ASJC Scopus subject areas

- Signal Processing

### Cite this

*IEEE Pacific RIM Conference on Communications, Computers, and Signal Processing - Proceedings*(pp. 391-394). IEEE.

**Design of stable allpass filters with prescribed phase characteristics.** / Pillai, Unnikrishna; Lee, Won Cheol.

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

*IEEE Pacific RIM Conference on Communications, Computers, and Signal Processing - Proceedings.*IEEE, pp. 391-394, Proceedings of the 1995 IEEE Pacific RIM Conference on Communications, Computers, and Signal Processing, Victoria, BC, Can, 5/17/95.

}

TY - GEN

T1 - Design of stable allpass filters with prescribed phase characteristics

AU - Pillai, Unnikrishna

AU - Lee, Won Cheol

PY - 1995

Y1 - 1995

N2 - This paper addresses the problem of obtaining all stable allpass filters that match the given phase characteristics in an optimal manner. In this context, it is shown here that the class of all stable allpass systems, that match the associated partial impulse response sequence can be parameterized using the theory of bounded functions. The above parameterization is utilized here to design stable allpass filters with prescribed phase responses. The given phase characteristics is first utilized to obtain its partial impulse response sequence and a parametric form of all stable allpass functions, and a least mean square procedure is then employed on its phase characteristics for further optimality. As a part of our analysis, it is also shown here that there are no stable allpass solutions in the sense of classical Pade approximation.

AB - This paper addresses the problem of obtaining all stable allpass filters that match the given phase characteristics in an optimal manner. In this context, it is shown here that the class of all stable allpass systems, that match the associated partial impulse response sequence can be parameterized using the theory of bounded functions. The above parameterization is utilized here to design stable allpass filters with prescribed phase responses. The given phase characteristics is first utilized to obtain its partial impulse response sequence and a parametric form of all stable allpass functions, and a least mean square procedure is then employed on its phase characteristics for further optimality. As a part of our analysis, it is also shown here that there are no stable allpass solutions in the sense of classical Pade approximation.

UR - http://www.scopus.com/inward/record.url?scp=0029231668&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029231668&partnerID=8YFLogxK

M3 - Conference contribution

SP - 391

EP - 394

BT - IEEE Pacific RIM Conference on Communications, Computers, and Signal Processing - Proceedings

PB - IEEE

ER -