{"id":8,"date":"2024-04-03T23:13:10","date_gmt":"2024-04-03T20:13:10","guid":{"rendered":"https:\/\/sisu.ut.ee\/signaalitootlus1\/4-signaalide-filtreerimine\/"},"modified":"2024-04-03T23:13:16","modified_gmt":"2024-04-03T20:13:16","slug":"4-signaalide-filtreerimine","status":"publish","type":"page","link":"https:\/\/sisu.ut.ee\/signaalitootlus1\/4-signaalide-filtreerimine\/","title":{"rendered":"4. Lineaarsed nihkeinvariantsed s\u00fcsteemid"},"content":{"rendered":"<h2>Brief summary<\/h2>\n<p>Two most important attributes of systems are linearity and time-invariance. In this section we develop the fundamental input-output relationship for systems having these attributes. It will be shown that the input-output relationship for Linear Time-Invariant (LTI) systems is described in terms of a convolution operation. The importance of the convolution operation in LTI systems stems from the fact that knowledge of the response of an LTI system to the unit impulse input allows us to find its output to any input signals.<\/p>\n<h2>Kokkuv\u00f5te<\/h2>\n<p>Lineaarsed nihkeinvariantsed (LNI) s\u00fcsteemid on \u00fcks suurema praktilise t\u00e4htsusega s\u00fcsteemide klasse. LNI s\u00fcsteemide fundamentaalsete sisend-v\u00e4ljund seoste tuletamine. Loengus n\u00e4idatakse, et LNI s\u00fcsteemide sisend-v\u00e4ljund seos on arvutatav sidumsumma tehtega. LNI s\u00fcsteemi impulsskoste on s\u00fcsteemi v\u00e4ljund, mis saadakse, kui sisendisse rakendatakse \u00fchikimpulss (Diraci delta-funktsioon). Teades LNI s\u00fcsteemi impulsskostet on sidumsumma abil v\u00f5imalik arvutada selle LNI s\u00fcsteemi v\u00e4ljund suvalise sisendi korral.<\/p>\n<p><\/p><div class=\"ratio ratio-16x9 mb-3\"><div class=\"video-placeholder-wrapper video-placeholder-wrapper--16x9\">\n\t\t\t    <div class=\"video-placeholder d-flex justify-content-center align-items-center\">\n\t\t\t        <div class=\"overlay text-white p-2 w-100 text-center d-block justify-content-center align-items-center\">\n\t\t\t            <div>Kolmandate osapoolte sisu n\u00e4gemiseks palun n\u00f5ustu k\u00fcpsistega.<\/div>\n\t\t\t            <button class=\"btn btn-secondary btn-sm mt-1 consent-change\">Muuda n\u00f5usolekut<\/button>\n\t\t\t        <\/div>\n\t\t\t    <\/div>\n\t\t\t<\/div>\n<\/div>\n<p>Videoloeng slaididega:\u00a0<a href=\"http:\/\/chuck.ut.ee:8080\/ess\/echo\/presentation\/27563dc4-31cb-4bc5-acde-8043ebe3500f\" target=\"_blank\" rel=\"noopener\">http:\/\/chuck.ut.ee:8080\/ess\/echo\/presentation\/27563dc4-31cb-4bc5-acde-8043ebe3500f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Brief summary Two most important attributes of systems are linearity and time-invariance. In this section we develop the fundamental input-output relationship for systems having these attributes. It will be shown that the input-output relationship for Linear Time-Invariant (LTI) systems is &#8230;<\/p>\n","protected":false},"author":280,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"class_list":["post-8","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sisu.ut.ee\/signaalitootlus1\/wp-json\/wp\/v2\/pages\/8","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sisu.ut.ee\/signaalitootlus1\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sisu.ut.ee\/signaalitootlus1\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sisu.ut.ee\/signaalitootlus1\/wp-json\/wp\/v2\/users\/280"}],"replies":[{"embeddable":true,"href":"https:\/\/sisu.ut.ee\/signaalitootlus1\/wp-json\/wp\/v2\/comments?post=8"}],"version-history":[{"count":1,"href":"https:\/\/sisu.ut.ee\/signaalitootlus1\/wp-json\/wp\/v2\/pages\/8\/revisions"}],"predecessor-version":[{"id":122,"href":"https:\/\/sisu.ut.ee\/signaalitootlus1\/wp-json\/wp\/v2\/pages\/8\/revisions\/122"}],"wp:attachment":[{"href":"https:\/\/sisu.ut.ee\/signaalitootlus1\/wp-json\/wp\/v2\/media?parent=8"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}