{"id":161160,"date":"2023-10-11T15:33:32","date_gmt":"2023-10-11T10:03:32","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=161160"},"modified":"2023-10-11T15:33:36","modified_gmt":"2023-10-11T10:03:36","slug":"unit-step-response-of-a-linear-time-invariant-lti-system-is-given-by-%f0%9d%91%a6%f0%9d%91%a1-1-%e2%88%92-%f0%9d%91%92%e2%88%922","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/unit-step-response-of-a-linear-time-invariant-lti-system-is-given-by-%f0%9d%91%a6%f0%9d%91%a1-1-%e2%88%92-%f0%9d%91%92%e2%88%922\/","title":{"rendered":"Unit\u00a0step\u00a0response\u00a0of\u00a0a\u00a0linear\u00a0time\u00a0invariant\u00a0(LTI)\u00a0system is\u00a0given\u00a0by \ud835\udc66(\ud835\udc61) = (1 \u2212 \ud835\udc52\u22122\ud835\udc61)\ud835\udc62(\ud835\udc61)"},"content":{"rendered":"\n<p>Q. Unit\u00a0step\u00a0response\u00a0of\u00a0a\u00a0linear\u00a0time\u00a0invariant\u00a0(LTI)\u00a0system is\u00a0given\u00a0by \ud835\udc66(\ud835\udc61) = (1 \u2212 \ud835\udc52<sup>\u22122\ud835\udc61<\/sup>)\ud835\udc62(\ud835\udc61). Assuming zero initial condition, the transfer function of the system is<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"609\" height=\"54\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/10\/Screenshot-1036.png\" alt=\"\" class=\"wp-image-161161\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/10\/Screenshot-1036.png 609w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/10\/Screenshot-1036-300x27.png 300w\" sizes=\"(max-width: 609px) 100vw, 609px\" \/><\/figure>\n\n\n\n<p>Ans: Option D<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. Unit\u00a0step\u00a0response\u00a0of\u00a0a\u00a0linear\u00a0time\u00a0invariant\u00a0(LTI)\u00a0system is\u00a0given\u00a0by \ud835\udc66(\ud835\udc61) = (1 \u2212 \ud835\udc52\u22122\ud835\udc61)\ud835\udc62(\ud835\udc61). Assuming zero initial condition, the transfer function of the system is Ans: Option D<\/p>\n","protected":false},"author":419,"featured_media":161162,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-161160","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/161160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=161160"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/161160\/revisions"}],"predecessor-version":[{"id":161163,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/161160\/revisions\/161163"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/161162"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=161160"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=161160"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=161160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}