{"id":156287,"date":"2023-08-30T12:40:40","date_gmt":"2023-08-30T07:10:40","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=156287"},"modified":"2023-08-30T12:40:44","modified_gmt":"2023-08-30T07:10:44","slug":"a-signal-%f0%9d%91%a5%f0%9d%91%a1-has-a-bandwidth-2%f0%9d%90%b5-about-a-carrier-frequency-of-%f0%9d%91%93%f0%9d%91%90-2-ghz-as-shown-in-figure-a-below-in-order-to-demodulate-this-signal","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-signal-%f0%9d%91%a5%f0%9d%91%a1-has-a-bandwidth-2%f0%9d%90%b5-about-a-carrier-frequency-of-%f0%9d%91%93%f0%9d%91%90-2-ghz-as-shown-in-figure-a-below-in-order-to-demodulate-this-signal\/","title":{"rendered":"A signal \ud835\udc65(\ud835\udc61) has a bandwidth 2\ud835\udc35 about a carrier frequency of \ud835\udc53\ud835\udc50 = 2 GHz as shown in Figure (a) below. In order to demodulate this signal"},"content":{"rendered":"\n

Q. A signal <\/span>\ud835\udc65(\ud835\udc61) <\/span>has a bandwidth <\/span>2\ud835\udc35 <\/span>about a carrier frequency of <\/span>\ud835\udc53\ud835\udc50<\/sub> = 2 <\/span>GHz as shown in <\/span>Figure <\/span>(a) <\/span>below. <\/span>In <\/span>order <\/span>to <\/span>demodulate <\/span>this <\/span>signal, <\/span>it <\/span>is <\/span>first <\/span>mixed <\/span>(multiplied) <\/span>with <\/span>a <\/span>local <\/span>oscillator of frequency <\/span>\ud835\udc53\ud835\udc3f\ud835\udc42<\/sub> = 1.5 <\/span>GHz, and then passed through an ideal low-pass filter <\/span>(LPF) <\/span>with <\/span>a <\/span>cut-off <\/span>frequency <\/span>of <\/span><\/span>2.8 <\/span><\/span>GHz. <\/span>The <\/span>output <\/span>of <\/span>the <\/span>LPF <\/span>is <\/span>sent <\/span>to <\/span>a <\/span>digitizer <\/span>ADC <\/span>with a sampling rate of <\/span>1.6 <\/span>GHz as shown in Figure (b) below. The maximum value of <\/span>\ud835\udc35 <\/span>so <\/span>that <\/span>the <\/span>signal <\/span><\/span>\ud835\udc65(\ud835\udc61) <\/span><\/span>can <\/span>be <\/span>reconstructed <\/span>from <\/span>its <\/span>samples <\/span>according <\/span>to <\/span>the <\/span>Nyquist <\/span>sampling <\/span>theorem <\/span>is\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/u>MHz.<\/span><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n

Ans: 300<\/p>\n\n\n\n

Sol:<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

2B \u2264 0.6 GHz
B = 0.3 GHz
Bmax<\/sub> = 0.3 GHz
= 300 MHz<\/p>\n","protected":false},"excerpt":{"rendered":"

Q. A signal \ud835\udc65(\ud835\udc61) has a bandwidth 2\ud835\udc35 about a carrier frequency of \ud835\udc53\ud835\udc50 = 2 GHz as shown in Figure (a) below. In order to demodulate this signal, it is first mixed (multiplied) with a local oscillator of frequency \ud835\udc53\ud835\udc3f\ud835\udc42 = 1.5 GHz, and then passed through an ideal low-pass filter (LPF) with a […]<\/p>\n","protected":false},"author":419,"featured_media":156291,"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-156287","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\/156287","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=156287"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156287\/revisions"}],"predecessor-version":[{"id":156292,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156287\/revisions\/156292"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156291"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156287"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156287"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156287"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}