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DESCRIPTION:Microwave Filter Synthesis and Tuning: What Circuit and Approxi
 mation Theory Can Do for You ([Register now](https://www.naylornetwork.com
 /mtt-mkt2019/email01.asp?projid=131690))\n\nThis presentation is based on 
 Microwave Filter Synthesis and Tuning\, used in designing electronic circu
 its and systems. Whereas microwave filters are by construction distributed
  structures\, they are infinite dimensional linear dynamical systems. When
  roughly tuned\, they admit a remarkable finite dimensional approximation 
 based on lumped elements\, namely their circuital approximation. This expl
 ains the success of the synthesis approach developed by G. Matthaei and pu
 rsued by authors like R.J. Cameron who refined and further developed the m
 odel known now as the coupling matrix approach.\n\nWhile tuning a filter\,
  it is therefore natural to try to fit a circuit to measured data in order
  to infer pertinent dimensional correction from it. The first step in this
  direction is to perform a rational approximation of the 2x2 filter&#39;s resp
 onse at a given MacMillan degree: a task belonging to approximation theory
 . In this talk\, we will review methods developed in the last decade to do
  so\, in particular bounded analytical extension techniques followed by Ha
 nkel norm approximation approaches. Some details will be given on how to s
 olve the phase loading problem which is inevitable when dealing with filte
 r measurements. Eventually\, the realization step consisting of constructi
 ng a circuit with a particular topology representing the previously obtain
 ed rational matrix will be discussed. Compatibility conditions will be giv
 en for the solvability of this polynomial\, multivariate nonlinear problem
 . Eventually\, techniques from computer algebra will be presented in order
  to obtain an effective approach.\n\nCo-sponsored by: IEEE North Jersey Se
 ction\n\nSpeaker(s): Fabien Seyfert\, \n\nVirtual: https://events.vtools.i
 eee.org/m/380730
LOCATION:Virtual: https://events.vtools.ieee.org/m/380730
ORGANIZER:akpoddar@ieee.org
SEQUENCE:26
SUMMARY:Microwave Filter Synthesis and Tuning: what circuit and approximati
 on theory can do for you
URL;VALUE=URI:https://events.vtools.ieee.org/m/380730
X-ALT-DESC:Description: &lt;br /&gt;&lt;p&gt;&lt;span style=&quot;font-size: 14pt\;&quot;&gt;Microwave 
 Filter Synthesis and Tuning: What Circuit and Approximation Theory Can Do 
 for You (&lt;strong&gt;&lt;a href=&quot;https://www.naylornetwork.com/mtt-mkt2019/email0
 1.asp?projid=131690&quot;&gt;Register now&lt;/a&gt;&lt;/strong&gt;)&lt;/span&gt;&lt;/p&gt;\n&lt;p&gt;This presen
 tation is based on Microwave Filter Synthesis and Tuning\, used in designi
 ng electronic circuits and systems.&amp;nbsp\;Whereas microwave filters are by
  construction distributed structures\, they are infinite dimensional linea
 r dynamical systems. When roughly tuned\, they admit a remarkable finite d
 imensional approximation based on lumped elements\, namely their circuital
  approximation. This explains the success of the synthesis approach develo
 ped by G. Matthaei and pursued by authors like R.J. Cameron who refined an
 d further developed the model known now as the coupling matrix approach.&amp;n
 bsp\;&lt;/p&gt;\n&lt;p&gt;While tuning a filter\, it is therefore natural to try to fi
 t a circuit to measured data in order to infer pertinent dimensional corre
 ction from it. The first step in this direction is to perform a rational a
 pproximation of the 2x2 filter&#39;s response at a given MacMillan degree: a t
 ask belonging to approximation theory. In this talk\, we will review metho
 ds developed in the last decade to do so\, in particular bounded analytica
 l extension techniques followed by Hankel norm approximation approaches. S
 ome details will be given on how to solve the phase loading problem which 
 is inevitable when dealing with filter measurements. &amp;nbsp\;Eventually\, t
 he realization step consisting of constructing a circuit with a particular
  topology representing the previously obtained rational matrix will be dis
 cussed. Compatibility conditions will be given for the solvability of this
  polynomial\, multivariate nonlinear problem. Eventually\, techniques from
  computer algebra will be presented in order to obtain an effective approa
 ch.&lt;/p&gt;
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