### Abstract

This paper deals with the application of the Cauchy Method to interpolate the S-parameter of a passive integrated device of which amplitude-only data over a given frequency band are known. An approximation of the amplitude-only data by a ratio of two polynomials is done. The coefficients of the polynomials depend on the data set itself. By applying the Cauchy Method, an electromagnetic system is represented by a set of poles and zeros in the s-plane. The Total Least Squares (TLS) implementation of a Singular Value Decomposition (SVD) is used to properly estimate the dimension of the null space, and hence calculate the value of the coefficients. Once these coefficients are computed using the amplitude-only S-parameter data, the response can be interpolated over other frequencies of interest. A numerical example is provided to show the applicability of the Cauchy Method in interpolating the amplitude-only S-parameter data over a whole frequency band.

Original language | English (US) |
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Title of host publication | European Microwave Week 2011 |

Subtitle of host publication | "Wave to the Future", EuMW 2011, Conference Proceedings - 41st European Microwave Conference, EuMC 2011 |

Pages | 5-8 |

Number of pages | 4 |

State | Published - Dec 1 2011 |

Event | 14th European Microwave Week 2011: "Wave to the Future", EuMW 2011 - 41st EuropeanMicrowave Conference, EuMC 2011 - Manchester, United Kingdom Duration: Oct 10 2011 → Oct 13 2011 |

### Publication series

Name | European Microwave Week 2011: "Wave to the Future", EuMW 2011, Conference Proceedings - 41st European Microwave Conference, EuMC 2011 |
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### Other

Other | 14th European Microwave Week 2011: "Wave to the Future", EuMW 2011 - 41st EuropeanMicrowave Conference, EuMC 2011 |
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Country | United Kingdom |

City | Manchester |

Period | 10/10/11 → 10/13/11 |

### Keywords

- Cauchy Method
- Singular Value Decomposition (SVD)
- Total Least Squares (TLS)
- amplitude-only data
- interpolation

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

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## Cite this

*European Microwave Week 2011: "Wave to the Future", EuMW 2011, Conference Proceedings - 41st European Microwave Conference, EuMC 2011*(pp. 5-8). [6101856] (European Microwave Week 2011: "Wave to the Future", EuMW 2011, Conference Proceedings - 41st European Microwave Conference, EuMC 2011).