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De-embedding multiplexers by Schur reduction

Abstract : This paper proposes a method to extract the characteristics of the filters composing a multiplexer. Scattering measurements of the multiplexer are given at some frequencies, together with information regarding the location of the transmission zeros of each filter. From these measurements we first compute a stable rational approximation of the scattering matrix (transfer function). Then we show that the chain matrices of the filters can be recovered, up to a constant matrix, by unchaining suitable components at each port of the multiplexer. We consider each port individually by closing all the other external ports except the one belonging to the filter of interest. The unchaining operation relies on a Schur reduction for an interpolation problem formulated for the structure thereby obtained, with the interpolation points being precisely the transmission zeros of the filter. Since transmission zeros are often located on the imaginary axis, we are dealing with a boundary interpolation problem.
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Submitted on : Friday, November 15, 2013 - 11:27:22 AM
Last modification on : Saturday, June 25, 2022 - 11:11:51 PM
Long-term archiving on: : Sunday, February 16, 2014 - 4:30:40 AM


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  • HAL Id : hal-00904794, version 1



Sanda Lefteriu, Matteo Oldoni, Martine Olivi, Fabien Seyfert. De-embedding multiplexers by Schur reduction. CDC - Conférence on Decision and Control, Dec 2013, Florence, Italy. ⟨hal-00904794⟩



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