### Abstract

The application of the Conjugate Gradient (CG) method for the identification of a new class of non-linear discrete time systems, called 'Generalized Bilinear System' is investigated. An algorithm based on the CG method is developed for adaptive generalized bilinear filtering with output error method. This algorithm outperforms the LMS and RLS methods in terms of speed of convergence. In this algorithm, the optimization is done over blocks of input and output data rather than a single pair of data. However, only one iteration and coefficient update is done for every sample of data. Some examples are given to illustrate the efficiency of the algorithm.

Original language | English (US) |
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Title of host publication | Midwest Symposium on Circuits and Systems |

Editors | Magdy A. Bayoumi, Ken W. Jenkins |

Publisher | IEEE |

Pages | 1327-1330 |

Number of pages | 4 |

Volume | 2 |

State | Published - 1994 |

Externally published | Yes |

Event | Proceedings of the 37th Midwest Symposium on Circuits and Systems. Part 2 (of 2) - Lafayette, LA, USA Duration: Aug 3 1994 → Aug 5 1994 |

### Other

Other | Proceedings of the 37th Midwest Symposium on Circuits and Systems. Part 2 (of 2) |
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City | Lafayette, LA, USA |

Period | 8/3/94 → 8/5/94 |

### 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. 1327-1330). IEEE.

**Conjugate gradient method for adaptive nonlinear filtering.** / Rajan, Sreeraman; Sub Joo, Kyung; Bose, Tamal; Chen, Mei Qin.

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

*Midwest Symposium on Circuits and Systems.*vol. 2, IEEE, pp. 1327-1330, Proceedings of the 37th Midwest Symposium on Circuits and Systems. Part 2 (of 2), Lafayette, LA, USA, 8/3/94.

}

TY - GEN

T1 - Conjugate gradient method for adaptive nonlinear filtering

AU - Rajan, Sreeraman

AU - Sub Joo, Kyung

AU - Bose, Tamal

AU - Chen, Mei Qin

PY - 1994

Y1 - 1994

N2 - The application of the Conjugate Gradient (CG) method for the identification of a new class of non-linear discrete time systems, called 'Generalized Bilinear System' is investigated. An algorithm based on the CG method is developed for adaptive generalized bilinear filtering with output error method. This algorithm outperforms the LMS and RLS methods in terms of speed of convergence. In this algorithm, the optimization is done over blocks of input and output data rather than a single pair of data. However, only one iteration and coefficient update is done for every sample of data. Some examples are given to illustrate the efficiency of the algorithm.

AB - The application of the Conjugate Gradient (CG) method for the identification of a new class of non-linear discrete time systems, called 'Generalized Bilinear System' is investigated. An algorithm based on the CG method is developed for adaptive generalized bilinear filtering with output error method. This algorithm outperforms the LMS and RLS methods in terms of speed of convergence. In this algorithm, the optimization is done over blocks of input and output data rather than a single pair of data. However, only one iteration and coefficient update is done for every sample of data. Some examples are given to illustrate the efficiency of the algorithm.

UR - http://www.scopus.com/inward/record.url?scp=0028749337&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028749337&partnerID=8YFLogxK

M3 - Conference contribution

VL - 2

SP - 1327

EP - 1330

BT - Midwest Symposium on Circuits and Systems

A2 - Bayoumi, Magdy A.

A2 - Jenkins, Ken W.

PB - IEEE

ER -