Q. The input \ud835\udc65[\ud835\udc5b] and output \ud835\udc66[\ud835\udc5b] of a discrete-time system are related as \ud835\udc66[\ud835\udc5b] = \ud835\udefc\ud835\udc66[\ud835\udc5b \u2212 1] + \ud835\udc65[\ud835\udc5b]. The condition on \ud835\udefc for which the system is Bounded-Input Bounded-Output (BIBO) stable is<\/p>\n\n\n\n
(A) |\ud835\udefc| < 1<\/p>\n\n\n\n
(B) |\ud835\udefc| = 1<\/p>\n\n\n\n
(C) |\ud835\udefc| > 1<\/p>\n\n\n\n
(D) |\ud835\udefc| < 3\/2<\/p>\n\n\n\n
Ans: |\ud835\udefc| < 1<\/p>\n\n\n\n
Sol:<\/p>\n\n\n\n
y[n] = \u03b1 y[n – 1] + x [n] <\/p>\n\n\n\n
The given system is BIBO stable for |\u03b1| < 1<\/p>\n","protected":false},"excerpt":{"rendered":"
Q. The input \ud835\udc65[\ud835\udc5b] and output \ud835\udc66[\ud835\udc5b] of a discrete-time system are related as \ud835\udc66[\ud835\udc5b] = \ud835\udefc\ud835\udc66[\ud835\udc5b \u2212 1] + \ud835\udc65[\ud835\udc5b]. The condition on \ud835\udefc for which the system is Bounded-Input Bounded-Output (BIBO) stable is (A) |\ud835\udefc| < 1 (B) |\ud835\udefc| = 1 (C) |\ud835\udefc| > 1 (D) |\ud835\udefc| < 3\/2 Ans: |\ud835\udefc| < 1 […]<\/p>\n","protected":false},"author":419,"featured_media":156051,"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-156050","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\/156050","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=156050"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156050\/revisions"}],"predecessor-version":[{"id":156052,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156050\/revisions\/156052"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156051"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156050"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156050"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156050"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}