{"id":160610,"date":"2023-09-29T15:30:22","date_gmt":"2023-09-29T10:00:22","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=160610"},"modified":"2023-09-29T15:30:24","modified_gmt":"2023-09-29T10:00:24","slug":"a-band-limited-low-pass-signal-%f0%9d%91%a5%f0%9d%91%a1-of-bandwidth-5-khz-is-sampled-at-a-sampling-rate-%f0%9d%91%93%f0%9d%91%a0","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-band-limited-low-pass-signal-%f0%9d%91%a5%f0%9d%91%a1-of-bandwidth-5-khz-is-sampled-at-a-sampling-rate-%f0%9d%91%93%f0%9d%91%a0\/","title":{"rendered":"A band limited low-pass signal \ud835\udc65(\ud835\udc61) of bandwidth 5 kHz is sampled at a sampling rate \ud835\udc53\ud835\udc60"},"content":{"rendered":"\n<p>Q. A band limited low-pass signal \ud835\udc65(\ud835\udc61) of bandwidth 5 kHz is sampled at a sampling rate \ud835\udc53<sub>\ud835\udc60<\/sub>. The signal \ud835\udc65(\ud835\udc61) is reconstructed using the reconstruction filter \ud835\udc3b(\ud835\udc53) whose magnitude response is shown below:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"439\" height=\"164\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-992.png\" alt=\"\" class=\"wp-image-160611\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-992.png 439w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-992-300x112.png 300w\" sizes=\"(max-width: 439px) 100vw, 439px\" \/><\/figure>\n\n\n\n<p>The minimum sampling rate \ud835\udc53<sub>\ud835\udc60<\/sub> (in kHz) for perfect reconstruction of \ud835\udc65(\ud835\udc61) is\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 .<\/p>\n\n\n\n<p>Ans: 13<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. A band limited low-pass signal \ud835\udc65(\ud835\udc61) of bandwidth 5 kHz is sampled at a sampling rate \ud835\udc53\ud835\udc60. The signal \ud835\udc65(\ud835\udc61) is reconstructed using the reconstruction filter \ud835\udc3b(\ud835\udc53) whose magnitude response is shown below: The minimum sampling rate \ud835\udc53\ud835\udc60 (in kHz) for perfect reconstruction of \ud835\udc65(\ud835\udc61) is\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 . Ans: 13<\/p>\n","protected":false},"author":419,"featured_media":160612,"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-160610","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\/160610","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=160610"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/160610\/revisions"}],"predecessor-version":[{"id":160613,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/160610\/revisions\/160613"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/160612"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=160610"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=160610"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=160610"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}