{"id":8857,"date":"2001-12-20T15:00:33","date_gmt":"2001-12-20T06:00:33","guid":{"rendered":"http:\/\/jsapt.net\/ja\/?p=8857"},"modified":"2018-01-19T17:23:54","modified_gmt":"2018-01-19T08:23:54","slug":"16011220","status":"publish","type":"post","link":"https:\/\/jsapt.net\/ja\/post\/16011220","title":{"rendered":"Optimal Design of \u03b1-\u03b2-\u03b3 Filters"},"content":{"rendered":"<p><a href=\"https:\/\/jsapt.net\/ja\/?s=Dirk Tenne\">Dirk Tenne<\/a>\uff0c<a href=\"https:\/\/jsapt.net\/ja\/?s=Tarunraj Singh\">Tarunraj Singh<\/a><br \/>\n[ Link to psu.edu ] <\/p>\n<p style=\"padding: 0 20px; text-align: justify;\">Abstract - Optimal sets of the smoothing parameter (\u03b1, \u03b2  and \u03b3) are derived for a sampled data target tracker. A constrained parameter optimization problem is for-mulated for speci\fc trajectories of the target, which includes the noise in the measurement, the steady state error and the transient response of the filter. This work considers two classes of target trajectories, circular and straight line maneuvers. Closed form ex-pressions for the steady state error and the sum of the square of the errors capturing the transient be-havior are derived for a straight line trajectory where the target moves with constant acceleration and a circular trajectory with the target moving at con-stant speed. The constrained optimization includes besides the maneuver errors a metric of noise capacity strength, expressed by the mean square response of the \flter to white noise. An optimal selection of \u03b1, \u03b2 and \u03b3 and parameters is provided for various penalties on the noise \fltering.<\/p>\n<p><a href=\"http:\/\/citeseerx.ist.psu.edu\/viewdoc\/download?doi=10.1.1.304.9018&rep=rep1&type=pdf\"><\/a><\/p>\n\n<div class=\"wp-block-button\">\n<a  data-e-Disable-Page-Transition=\"true\" class=\"dlm-download-link dlm-download-button wp-block-button__link wp-element-button\" title=\"\u30d0\u30fc\u30b8\u30e7\u30f3 1\" href=\"https:\/\/jsapt.net\/ja\/download\/8855\/?tmstv=1791168510\" rel=\"nofollow\" id=\"download-link-8855\" data-redirect=\"false\" >\n\t&ldquo;Optimal Design of \u03b1-\u03b2-\u03b3 Filters&rdquo; \u3092\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\t<span class=\"dlm-button-meta\">download\t\t&ndash; 971 \u56de\u306e\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\t\t&ndash; 106.98 KB<\/span>\n<\/a>\n<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Dirk Tenne\uff0cTarunraj Singh [ Link to psu.edu ] Abstract - Optimal sets of the smoothing parameter (\u03b1, \u03b2 and \u03b3)  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"sns_share_botton_hide":"","vkExUnit_sns_title":"","_vk_print_noindex":"","sitemap_hide":"","vkExUnit_EyeCatch_disable":"","_veu_custom_css":"","veu_display_promotion_alert":"","vkexunit_cta_each_option":"","footnotes":""},"categories":[2],"tags":[381,386],"class_list":["post-8857","post","type-post","status-publish","format-standard","hentry","category-algorism","tag-tracking","tag-motional"],"veu_head_title_object":{"title":"","add_site_title":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Optimal Design of \u03b1-\u03b2-\u03b3 Filters - \u6e2c\u4f4d\u6280\u8853\u632f\u8208\u4f1a<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/jsapt.net\/ja\/post\/16011220\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Optimal Design of \u03b1-\u03b2-\u03b3 Filters - \u6e2c\u4f4d\u6280\u8853\u632f\u8208\u4f1a\" \/>\n<meta property=\"og:description\" content=\"Dirk Tenne\uff0cTarunraj Singh [ Link to psu.edu ] Abstract - Optimal sets of the smoothing parameter (\u03b1, \u03b2 and \u03b3) [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jsapt.net\/ja\/post\/16011220\" \/>\n<meta property=\"og:site_name\" content=\"\u6e2c\u4f4d\u6280\u8853\u632f\u8208\u4f1a\" \/>\n<meta property=\"article:published_time\" content=\"2001-12-20T06:00:33+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2018-01-19T08:23:54+00:00\" \/>\n<meta name=\"author\" content=\"SAPT\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u57f7\u7b46\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"SAPT\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u63a8\u5b9a\u8aad\u307f\u53d6\u308a\u6642\u9593\" \/>\n\t<meta name=\"twitter:data2\" content=\"1\u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/jsapt.net\\\/ja\\\/post\\\/16011220#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/jsapt.net\\\/ja\\\/post\\\/16011220\"},\"author\":{\"name\":\"SAPT\",\"@id\":\"https:\\\/\\\/jsapt.net\\\/ja\\\/#\\\/schema\\\/person\\\/86f9d32b2168b0c50221bc974424b186\"},\"headline\":\"Optimal Design of \u03b1-\u03b2-\u03b3 Filters\",\"datePublished\":\"2001-12-20T06:00:33+00:00\",\"dateModified\":\"2018-01-19T08:23:54+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/jsapt.net\\\/ja\\\/post\\\/16011220\"},\"wordCount\":166,\"keywords\":[\"\u8ffd\u5c3e\u30d5\u30a3\u30eb\u30bf\",\"\u904b\u52d5\"],\"articleSection\":[\"\u6e2c\u4f4d\u6570\u7406\"],\"inLanguage\":\"ja\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/jsapt.net\\\/ja\\\/post\\\/16011220\",\"url\":\"https:\\\/\\\/jsapt.net\\\/ja\\\/post\\\/16011220\",\"name\":\"Optimal Design of \u03b1-\u03b2-\u03b3 Filters - \u6e2c\u4f4d\u6280\u8853\u632f\u8208\u4f1a\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/jsapt.net\\\/ja\\\/#website\"},\"datePublished\":\"2001-12-20T06:00:33+00:00\",\"dateModified\":\"2018-01-19T08:23:54+00:00\",\"author\":{\"@id\":\"https:\\\/\\\/jsapt.net\\\/ja\\\/#\\\/schema\\\/person\\\/86f9d32b2168b0c50221bc974424b186\"},\"breadcrumb\":{\"@id\":\"https:\\\/\\\/jsapt.net\\\/ja\\\/post\\\/16011220#breadcrumb\"},\"inLanguage\":\"ja\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/jsapt.net\\\/ja\\\/post\\\/16011220\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/jsapt.net\\\/ja\\\/post\\\/16011220#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u30db\u30fc\u30e0\",\"item\":\"https:\\\/\\\/jsapt.net\\\/ja\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Optimal Design of \u03b1-\u03b2-\u03b3 Filters\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/jsapt.net\\\/ja\\\/#website\",\"url\":\"https:\\\/\\\/jsapt.net\\\/ja\\\/\",\"name\":\"\u6e2c\u4f4d\u6280\u8853\u632f\u8208\u4f1a\",\"description\":\"SAPT\uff5c\u4f4d\u7f6e\u3092\u6e2c\u308b\u6280\u8853\u3067\uff0c\u65b0\u305f\u306a\u9053\u3092\u3072\u3089\u304f\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/jsapt.net\\\/ja\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"ja\"},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/jsapt.net\\\/ja\\\/#\\\/schema\\\/person\\\/86f9d32b2168b0c50221bc974424b186\",\"name\":\"SAPT\",\"url\":\"https:\\\/\\\/jsapt.net\\\/ja\\\/post\\\/author\\\/sapt\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Optimal Design of \u03b1-\u03b2-\u03b3 Filters - \u6e2c\u4f4d\u6280\u8853\u632f\u8208\u4f1a","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/jsapt.net\/ja\/post\/16011220","og_locale":"ja_JP","og_type":"article","og_title":"Optimal Design of \u03b1-\u03b2-\u03b3 Filters - \u6e2c\u4f4d\u6280\u8853\u632f\u8208\u4f1a","og_description":"Dirk Tenne\uff0cTarunraj Singh [ Link to psu.edu ] Abstract - Optimal sets of the smoothing parameter (\u03b1, \u03b2 and \u03b3) [&hellip;]","og_url":"https:\/\/jsapt.net\/ja\/post\/16011220","og_site_name":"\u6e2c\u4f4d\u6280\u8853\u632f\u8208\u4f1a","article_published_time":"2001-12-20T06:00:33+00:00","article_modified_time":"2018-01-19T08:23:54+00:00","author":"SAPT","twitter_card":"summary_large_image","twitter_misc":{"\u57f7\u7b46\u8005":"SAPT","\u63a8\u5b9a\u8aad\u307f\u53d6\u308a\u6642\u9593":"1\u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/jsapt.net\/ja\/post\/16011220#article","isPartOf":{"@id":"https:\/\/jsapt.net\/ja\/post\/16011220"},"author":{"name":"SAPT","@id":"https:\/\/jsapt.net\/ja\/#\/schema\/person\/86f9d32b2168b0c50221bc974424b186"},"headline":"Optimal Design of \u03b1-\u03b2-\u03b3 Filters","datePublished":"2001-12-20T06:00:33+00:00","dateModified":"2018-01-19T08:23:54+00:00","mainEntityOfPage":{"@id":"https:\/\/jsapt.net\/ja\/post\/16011220"},"wordCount":166,"keywords":["\u8ffd\u5c3e\u30d5\u30a3\u30eb\u30bf","\u904b\u52d5"],"articleSection":["\u6e2c\u4f4d\u6570\u7406"],"inLanguage":"ja"},{"@type":"WebPage","@id":"https:\/\/jsapt.net\/ja\/post\/16011220","url":"https:\/\/jsapt.net\/ja\/post\/16011220","name":"Optimal Design of \u03b1-\u03b2-\u03b3 Filters - \u6e2c\u4f4d\u6280\u8853\u632f\u8208\u4f1a","isPartOf":{"@id":"https:\/\/jsapt.net\/ja\/#website"},"datePublished":"2001-12-20T06:00:33+00:00","dateModified":"2018-01-19T08:23:54+00:00","author":{"@id":"https:\/\/jsapt.net\/ja\/#\/schema\/person\/86f9d32b2168b0c50221bc974424b186"},"breadcrumb":{"@id":"https:\/\/jsapt.net\/ja\/post\/16011220#breadcrumb"},"inLanguage":"ja","potentialAction":[{"@type":"ReadAction","target":["https:\/\/jsapt.net\/ja\/post\/16011220"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/jsapt.net\/ja\/post\/16011220#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u30db\u30fc\u30e0","item":"https:\/\/jsapt.net\/ja\/"},{"@type":"ListItem","position":2,"name":"Optimal Design of \u03b1-\u03b2-\u03b3 Filters"}]},{"@type":"WebSite","@id":"https:\/\/jsapt.net\/ja\/#website","url":"https:\/\/jsapt.net\/ja\/","name":"\u6e2c\u4f4d\u6280\u8853\u632f\u8208\u4f1a","description":"SAPT\uff5c\u4f4d\u7f6e\u3092\u6e2c\u308b\u6280\u8853\u3067\uff0c\u65b0\u305f\u306a\u9053\u3092\u3072\u3089\u304f","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/jsapt.net\/ja\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"ja"},{"@type":"Person","@id":"https:\/\/jsapt.net\/ja\/#\/schema\/person\/86f9d32b2168b0c50221bc974424b186","name":"SAPT","url":"https:\/\/jsapt.net\/ja\/post\/author\/sapt"}]}},"_links":{"self":[{"href":"https:\/\/jsapt.net\/ja\/wp-json\/wp\/v2\/posts\/8857","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/jsapt.net\/ja\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/jsapt.net\/ja\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/jsapt.net\/ja\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/jsapt.net\/ja\/wp-json\/wp\/v2\/comments?post=8857"}],"version-history":[{"count":4,"href":"https:\/\/jsapt.net\/ja\/wp-json\/wp\/v2\/posts\/8857\/revisions"}],"predecessor-version":[{"id":12415,"href":"https:\/\/jsapt.net\/ja\/wp-json\/wp\/v2\/posts\/8857\/revisions\/12415"}],"wp:attachment":[{"href":"https:\/\/jsapt.net\/ja\/wp-json\/wp\/v2\/media?parent=8857"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/jsapt.net\/ja\/wp-json\/wp\/v2\/categories?post=8857"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/jsapt.net\/ja\/wp-json\/wp\/v2\/tags?post=8857"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}