{"id":125,"date":"2018-07-27T11:54:47","date_gmt":"2018-07-27T09:54:47","guid":{"rendered":"https:\/\/project.inria.fr\/puma\/?page_id=125"},"modified":"2018-07-29T18:57:23","modified_gmt":"2018-07-29T16:57:23","slug":"theory","status":"publish","type":"page","link":"https:\/\/project.inria.fr\/puma\/theory\/","title":{"rendered":"Theory"},"content":{"rendered":"<p>The matching problem was first studied by <em>Bode<\/em>\/<em>Fano<\/em> in the forties and\u00a0 arises often in the design of microwave devices, in particular when it comes to optimisation of the reception or emission chains.<\/p>\n<p>The synthesis of filters and antennas present in microwave reception or emission chains are usually done by assuming a fix resistive reference (usually 50 Ohm) at their connecting ports. The antenna\u2019s mismatch is then either ignored or com-pensated by an additional matching network, resulting either in a degradation of the energy efficiency or in an increased footprint of the overall hardware.<\/p>\n<div id=\"attachment_216\" style=\"width: 310px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/project.inria.fr\/puma\/files\/2018\/07\/fullchain.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-216\" class=\"wp-image-216 size-full\" src=\"https:\/\/project.inria.fr\/puma\/files\/2018\/07\/fullchain.png\" alt=\"\" width=\"1185\" height=\"381\" srcset=\"https:\/\/project.inria.fr\/puma\/files\/2018\/07\/fullchain.png 1185w, https:\/\/project.inria.fr\/puma\/files\/2018\/07\/fullchain-300x96.png 300w, https:\/\/project.inria.fr\/puma\/files\/2018\/07\/fullchain-768x247.png 768w, https:\/\/project.inria.fr\/puma\/files\/2018\/07\/fullchain-1024x329.png 1024w, https:\/\/project.inria.fr\/puma\/files\/2018\/07\/fullchain-150x48.png 150w\" sizes=\"auto, (max-width: 1185px) 100vw, 1185px\" \/><\/a><p id=\"caption-attachment-216\" class=\"wp-caption-text\">Classical approach: matching circuit to compensate for antenna mismatch<\/p><\/div>\n<p>The aim of the matching problem is to account for the antenna mismatch in the filter synthesis process, allowing to handle the matching and filtering requirements in a single device and rendering superfluous the use of an extra matching network.<span id=\":h1.co\" class=\"tL8wMe EMoHub\" dir=\"ltr\"><\/span><\/p>\n<div id=\"attachment_218\" style=\"width: 310px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/project.inria.fr\/puma\/files\/2018\/07\/ignore-reflection.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-218\" class=\"wp-image-218 size-full\" src=\"https:\/\/project.inria.fr\/puma\/files\/2018\/07\/ignore-reflection.png\" alt=\"\" width=\"1236\" height=\"500\" srcset=\"https:\/\/project.inria.fr\/puma\/files\/2018\/07\/ignore-reflection.png 1236w, https:\/\/project.inria.fr\/puma\/files\/2018\/07\/ignore-reflection-300x121.png 300w, https:\/\/project.inria.fr\/puma\/files\/2018\/07\/ignore-reflection-768x311.png 768w, https:\/\/project.inria.fr\/puma\/files\/2018\/07\/ignore-reflection-1024x414.png 1024w, https:\/\/project.inria.fr\/puma\/files\/2018\/07\/ignore-reflection-150x61.png 150w\" sizes=\"auto, (max-width: 1236px) 100vw, 1236px\" \/><\/a><p id=\"caption-attachment-218\" class=\"wp-caption-text\">Use of a matching filter: antenna reflection is handled by the filter<\/p><\/div>\n<p style=\"text-align: right;\"><a href=\"https:\/\/project.inria.fr\/puma\/the-broadband-matching-problem\/\">Continue reading&#8230;<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The matching problem was first studied by Bode\/Fano in the forties and\u00a0 arises often in the design of microwave devices, in particular when it comes to optimisation of the reception or emission chains. The synthesis of filters and antennas present in microwave reception or emission chains are usually done by\u2026<\/p>\n<p> <a class=\"continue-reading-link\" href=\"https:\/\/project.inria.fr\/puma\/theory\/\"><span>Continue reading<\/span><i class=\"crycon-right-dir\"><\/i><\/a> <\/p>\n","protected":false},"author":1445,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-125","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/project.inria.fr\/puma\/wp-json\/wp\/v2\/pages\/125","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\/1445"}],"replies":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/puma\/wp-json\/wp\/v2\/comments?post=125"}],"version-history":[{"count":17,"href":"https:\/\/project.inria.fr\/puma\/wp-json\/wp\/v2\/pages\/125\/revisions"}],"predecessor-version":[{"id":225,"href":"https:\/\/project.inria.fr\/puma\/wp-json\/wp\/v2\/pages\/125\/revisions\/225"}],"wp:attachment":[{"href":"https:\/\/project.inria.fr\/puma\/wp-json\/wp\/v2\/media?parent=125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}