{"id":4,"date":"2011-12-08T11:55:34","date_gmt":"2011-12-08T11:55:34","guid":{"rendered":"http:\/\/project.inria.fr\/template1\/?page_id=4"},"modified":"2018-08-17T16:21:26","modified_gmt":"2018-08-17T14:21:26","slug":"home","status":"publish","type":"page","link":"https:\/\/project.inria.fr\/puma\/","title":{"rendered":"Home"},"content":{"rendered":"<p><\/p>\n<h4 style=\"text-align: left;\">A toolbox to compute matching filters<\/h4>\n<p>PUMA toolbox solves the problem of broadband matching. This problem consist on the computation of a rational 2-port filtering function presenting a reference impedance (i.e. 50 Ohm) at the first port, and the conjugate of the load impedance within a frequency band at the second port.<\/p>\n<h4>Broadband Matching Problem<\/h4>\n<p>The objective of the matching problem is to find the matching filter <strong>F<\/strong> of degree N, that minimises,\u00a0in a given frequency band, the reflection of the system <strong>S<\/strong>, composed of the filter cascaded with the load<strong> L<\/strong><\/p>\n<p class=\"hide-if-no-js\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-116 size-full\" src=\"https:\/\/project.inria.fr\/puma\/files\/2018\/07\/GlobalSystem.png\" alt=\"\" width=\"446\" height=\"119\" srcset=\"https:\/\/project.inria.fr\/puma\/files\/2018\/07\/GlobalSystem.png 446w, https:\/\/project.inria.fr\/puma\/files\/2018\/07\/GlobalSystem-300x80.png 300w, https:\/\/project.inria.fr\/puma\/files\/2018\/07\/GlobalSystem-150x40.png 150w\" sizes=\"auto, (max-width: 446px) 100vw, 446px\" \/>Selectivity constraints can be added to the matching filters to suppress a given frequency band as it is customary in classical filter synthesis.<\/p>\n<p>Additionally, prescribed transmission zeros can be added, for instance, next to the passband to increase selectivity or as conjugate pairs in the complex plane to control the group delay.<\/p>\n<p>With the previous specifications, this toolbox computes:<\/p>\n<ul>\n<li>The lower limit for the matching level that can be obtained with a filter of degree N<\/li>\n<li>The required filtering function of the same degree to approach the limit.<\/li>\n<\/ul>\n<div id=\"attachment_833\" style=\"width: 310px\" class=\"wp-caption alignleft\"><a href=\"https:\/\/project.inria.fr\/puma\/files\/2018\/08\/system1-1.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-833\" class=\"wp-image-833 size-full\" src=\"https:\/\/project.inria.fr\/puma\/files\/2018\/08\/system1-1.png\" alt=\"\" width=\"560\" height=\"420\" srcset=\"https:\/\/project.inria.fr\/puma\/files\/2018\/08\/system1-1.png 560w, https:\/\/project.inria.fr\/puma\/files\/2018\/08\/system1-1-300x225.png 300w, https:\/\/project.inria.fr\/puma\/files\/2018\/08\/system1-1-150x113.png 150w\" sizes=\"auto, (max-width: 560px) 100vw, 560px\" \/><\/a><p id=\"caption-attachment-833\" class=\"wp-caption-text\">Original load reflection<\/p><\/div>\n<p><div id=\"attachment_832\" style=\"width: 310px\" class=\"wp-caption alignleft\"><a href=\"https:\/\/project.inria.fr\/puma\/files\/2018\/08\/Load1-1.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-832\" class=\"wp-image-832 size-full\" src=\"https:\/\/project.inria.fr\/puma\/files\/2018\/08\/Load1-1.png\" alt=\"\" width=\"560\" height=\"420\" srcset=\"https:\/\/project.inria.fr\/puma\/files\/2018\/08\/Load1-1.png 560w, https:\/\/project.inria.fr\/puma\/files\/2018\/08\/Load1-1-300x225.png 300w, https:\/\/project.inria.fr\/puma\/files\/2018\/08\/Load1-1-150x113.png 150w\" sizes=\"auto, (max-width: 560px) 100vw, 560px\" \/><\/a><p id=\"caption-attachment-832\" class=\"wp-caption-text\">Reflection with matching filter<\/p><\/div><\/p>","protected":false},"excerpt":{"rendered":"<p>A toolbox to compute matching filters PUMA toolbox solves the problem of broadband matching. This problem consist on the computation of a rational 2-port filtering function presenting a reference impedance (i.e. 50 Ohm) at the first port, and the conjugate of the load impedance within a frequency band at the\u2026<\/p>\n<p> <a class=\"continue-reading-link\" href=\"https:\/\/project.inria.fr\/puma\/\"><span>Continue reading<\/span><i class=\"crycon-right-dir\"><\/i><\/a> <\/p>\n","protected":false},"author":1,"featured_media":111,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-4","page","type-page","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/project.inria.fr\/puma\/wp-json\/wp\/v2\/pages\/4","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/project.inria.fr\/puma\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/project.inria.fr\/puma\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/puma\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/puma\/wp-json\/wp\/v2\/comments?post=4"}],"version-history":[{"count":61,"href":"https:\/\/project.inria.fr\/puma\/wp-json\/wp\/v2\/pages\/4\/revisions"}],"predecessor-version":[{"id":838,"href":"https:\/\/project.inria.fr\/puma\/wp-json\/wp\/v2\/pages\/4\/revisions\/838"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/puma\/wp-json\/wp\/v2\/media\/111"}],"wp:attachment":[{"href":"https:\/\/project.inria.fr\/puma\/wp-json\/wp\/v2\/media?parent=4"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}