{"id":161156,"date":"2023-10-11T15:29:18","date_gmt":"2023-10-11T09:59:18","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=161156"},"modified":"2023-10-11T15:29:20","modified_gmt":"2023-10-11T09:59:20","slug":"the-fourier-transform-of-a-signal-%f0%9d%91%a5%f0%9d%91%a1-denoted-by-%f0%9d%91%8b%f0%9d%91%97w-is-shown-in-the-figure","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-fourier-transform-of-a-signal-%f0%9d%91%a5%f0%9d%91%a1-denoted-by-%f0%9d%91%8b%f0%9d%91%97w-is-shown-in-the-figure\/","title":{"rendered":"The Fourier transform of a signal \ud835\udc65(\ud835\udc61), denoted by \ud835\udc4b(\ud835\udc57w), is shown in the figure"},"content":{"rendered":"\n<p>Q. The Fourier transform of a signal \ud835\udc65(\ud835\udc61), denoted by \ud835\udc4b(\ud835\udc57w), is shown in the figure.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/10\/image-26.png\" alt=\"\" class=\"wp-image-161157\" style=\"width:320px;height:181px\" width=\"320\" height=\"181\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/10\/image-26.png 537w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/10\/image-26-300x169.png 300w\" sizes=\"(max-width: 320px) 100vw, 320px\" \/><\/figure>\n\n\n\n<p>Let \ud835\udc66(\ud835\udc61) = \ud835\udc65(\ud835\udc61) + \ud835\udc52<sup>\ud835\udc57\ud835\udc61<\/sup>\ud835\udc65(\ud835\udc61). The value of Fourier transform of \ud835\udc66(\ud835\udc61) evaluated at the angular frequency w= 0.5 rad\/s is<\/p>\n\n\n\n<p>(A) 0.5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (B) 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (C) 1.5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (D) 2.5<\/p>\n\n\n\n<p>Ans: 1.5<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. The Fourier transform of a signal \ud835\udc65(\ud835\udc61), denoted by \ud835\udc4b(\ud835\udc57w), is shown in the figure. Let \ud835\udc66(\ud835\udc61) = \ud835\udc65(\ud835\udc61) + \ud835\udc52\ud835\udc57\ud835\udc61\ud835\udc65(\ud835\udc61). The value of Fourier transform of \ud835\udc66(\ud835\udc61) evaluated at the angular frequency w= 0.5 rad\/s is (A) 0.5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (B) 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (C) 1.5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (D) 2.5 Ans: 1.5<\/p>\n","protected":false},"author":419,"featured_media":161158,"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-161156","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\/161156","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=161156"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/161156\/revisions"}],"predecessor-version":[{"id":161159,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/161156\/revisions\/161159"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/161158"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=161156"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=161156"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=161156"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}