{"id":2254,"date":"2014-01-01T00:00:54","date_gmt":"2013-12-31T15:00:54","guid":{"rendered":"https:\/\/micronix-jp.com\/?p=2254"},"modified":"2023-03-20T17:20:56","modified_gmt":"2023-03-20T08:20:56","slug":"jitter","status":"publish","type":"post","link":"https:\/\/micronix-jp.com\/english\/note\/application\/jitter.html","title":{"rendered":"How to calculate clock jitter from phase noise"},"content":{"rendered":"<p class=\"bigTitle\" style=\"margin-bottom: 1em\">The way of calculating jitter of a clock signal from the phase noise measured with the signal analyzer is mentioned.<\/p>\n\n\n<h2>Application<\/h2>\n<p> <i class=\"fas fa-square-full\" aria-hidden=\"true\"><\/i> Connection block diagram <\/p>\n<img loading=\"lazy\" decoding=\"async\" src=\"\/eng\/image\/application\/jitter-00.jpg\" alt=\"Connection block diagram\" width=\"730\" height=\"247\"> \n\n\n<h2>Solution<\/h2>\n<ul>\n<li>The clock jitter is computable from the phase noise level measured with the signal analyzer.<\/li>\n<li>The instantaneous jitter can also measured by real time acquisition. <br>\nMoreover, it is also possible to obtain the RMS jitter for a long period of time by averaging.\n\n<p class=\"Center\"><img loading=\"lazy\" decoding=\"async\" src=\"\/eng\/image\/application\/jitter-01.gif\" alt=\"\" width=\"300\" height=\"243\"><\/p>\n<p>The spectrum shown at left is obtained when a clock signal with PLL is measured by the signal analyzer.  In this case, the noise component which causes a clock jitter can be approximated by the area of shaded region.  The clock jitter Cj (Deg) is obtained from the\t\tfollowing equation based on the phase noise Pn (dBc\/Hz) and the bandwidth Bw (Hz). <\/p>\n\n<p class=\"Center\"><img loading=\"lazy\" decoding=\"async\" src=\"\/eng\/image\/application\/jitter-02.gif\" alt=\"Figure:\u5f0f\" width=\"645\" height=\"125\"><\/p>\n\n<p> When the clock frequency is Fc [Hz] , the jitter time Tj [s] is as follows.<\/p>\n<p class=\"Center\"><img loading=\"lazy\" decoding=\"async\" src=\"\/eng\/image\/application\/jitter-03.gif\" alt=\"Figure:\u5f0f\" width=\"343\" height=\"118\"><\/p>\n<\/li>\n\n<li>In case of Fc=1GHz, the values of Cj and Tj based on typical phase noise and bandwidth are shown in table below.<\/li>\n<\/ul>\n<ul class=\"flexBox flexBoxDivide\">\n<li> Cj\uff3bdeg\uff3d\n<table>\n<tbody><tr>\n<th>Phase noise<br>\n[dBc\/Hz]<\/th>\n<th>10kHz<br>\nBW<\/th>\n<th>100kHz<br>\nBW<\/th>\n<th>1MHz<br>\nBW<\/th>\n<th>1MHz<br>\nBW<\/th>\n<\/tr>\n<tr>\n<td style=\"text-align:right\">-60<\/td>\n<td style=\"text-align:right\">8.10<\/td>\n<td style=\"text-align:right\">25.62<\/td>\n<td style=\"text-align:right\">81.02<\/td>\n<td style=\"text-align:right\">256.23<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right\">-70<\/td>\n<td style=\"text-align:right\">2.56<\/td>\n<td style=\"text-align:right\">8.10<\/td>\n<td style=\"text-align:right\">25.62<\/td>\n<td style=\"text-align:right\">81.02<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right\">-80<\/td>\n<td style=\"text-align:right\">0.81<\/td>\n<td style=\"text-align:right\">2.56<\/td>\n<td style=\"text-align:right\">8.10<\/td>\n<td style=\"text-align:right\">25.62<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right\">-90<\/td>\n<td style=\"text-align:right\">0.26<\/td>\n<td style=\"text-align:right\">0.81<\/td>\n<td style=\"text-align:right\">2.56<\/td>\n<td style=\"text-align:right\">8.10<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right\">-100<\/td>\n<td style=\"text-align:right\">0.08<\/td>\n<td style=\"text-align:right\">0.26<\/td>\n<td style=\"text-align:right\">0.81<\/td>\n<td style=\"text-align:right\">2.56<\/td>\n<\/tr>\n<\/tbody><\/table>\n<\/li>\n<li> Tj\uff3bps\uff3d@1GHz\n<table>\n<tbody><tr>\n<th>Phase noise<br>\n[dBc\/Hz]<\/th>\n<th>10kHz<br>\nBW<\/th>\n<th>100kHz<br>\nBW<\/th>\n<th>1MHz<br>\nBW<\/th>\n<th>1MHz<br>\nBW<\/th>\n<\/tr>\n<tr>\n<td style=\"text-align:right\">-60<\/td>\n<td style=\"text-align:right\">22.51<\/td>\n<td style=\"text-align:right\">71.18<\/td>\n<td style=\"text-align:right\">225.06<\/td>\n<td style=\"text-align:right\">711.75<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right\">-70<\/td>\n<td style=\"text-align:right\">7.12<\/td>\n<td style=\"text-align:right\">22.51<\/td>\n<td style=\"text-align:right\">71.18<\/td>\n<td style=\"text-align:right\">225.06<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right\">-80<\/td>\n<td style=\"text-align:right\">2.25<\/td>\n<td style=\"text-align:right\">7.12<\/td>\n<td style=\"text-align:right\">22.51<\/td>\n<td style=\"text-align:right\">71.18<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right\">-90<\/td>\n<td style=\"text-align:right\">0.71<\/td>\n<td style=\"text-align:right\">2.25<\/td>\n<td style=\"text-align:right\">7.12<\/td>\n<td style=\"text-align:right\">22.51<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right\">-100<\/td>\n<td style=\"text-align:right\">0.23<\/td>\n<td style=\"text-align:right\">0.71<\/td>\n<td style=\"text-align:right\">2.25<\/td>\n<td style=\"text-align:right\">7.12<\/td>\n<\/tr>\n<\/tbody><\/table>\n<\/li>\n<\/ul>\n\n\n\n<h2>System configuration<\/h2>\n<table>\n<tbody>\n<tr>\n<td nowrap=\"\"><a href=\"\/english\/products\/spectrum-analyzer\/msa500\/msa538.html\">Signal analyzerMSA538 <\/a><\/td>\n<td nowrap=\"\" class=\"textRight\"> x 1<\/td>\n<\/tr>\n<tr>\n<td>Lithium-ion battery [MB400]<\/td>\n<td nowrap=\"\" class=\"textRight\"> x 1<\/td>\n<\/tr>\n<tr>\n<td>SMA-SMA cables1.5m [MC303]<\/td>\n<td nowrap=\"\" class=\"textRight\"> x 1<\/td>\n<\/tr>\n<tr>\n<td>Adapter N(P)\/SMA(J) [MA306]<\/td>\n<td nowrap=\"\" class=\"textRight\"> x 1<\/td>\n<\/tr>\n<\/tbody>\n<tfoot>\n<\/tfoot>\n<\/table>\n\n\n\n<h2>Products introduction<\/h2>\n <div class=\"woocommerce columns-3 \"><ul class=\"products columns-3\">\n<li class=\"product type-product post-5808 status-publish first instock product_cat-shop-category-handheld-spectrum-analyzer product_cat-shop-category-spectrum-analyzer-option product_tag-tag-handheld-spectrum-analyzer-option has-post-thumbnail shipping-taxable product-type-simple\">\n\t<a href=\"https:\/\/micronix-jp.com\/english\/products\/spectrum-analyzer\/option\/mb400.html\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/micronix-jp.com\/english\/wp-content\/uploads\/sites\/2\/2023\/03\/MB400_620x620-300x300.png\" class=\"attachment-woocommerce_thumbnail 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class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/micronix-jp.com\/english\/wp-content\/uploads\/sites\/2\/2023\/03\/msa538_620x620-300x300.png\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"\" srcset=\"https:\/\/micronix-jp.com\/english\/wp-content\/uploads\/sites\/2\/2023\/03\/msa538_620x620-300x300.png 300w, https:\/\/micronix-jp.com\/english\/wp-content\/uploads\/sites\/2\/2023\/03\/msa538_620x620-150x150.png 150w, https:\/\/micronix-jp.com\/english\/wp-content\/uploads\/sites\/2\/2023\/03\/msa538_620x620-600x600.png 600w, https:\/\/micronix-jp.com\/english\/wp-content\/uploads\/sites\/2\/2023\/03\/msa538_620x620-100x100.png 100w, https:\/\/micronix-jp.com\/english\/wp-content\/uploads\/sites\/2\/2023\/03\/msa538_620x620.png 620w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><h2 class=\"woocommerce-loop-product__title\">Handheld Signal Analyzer MSA538<\/h2>\n<\/a><\/li>\n<\/ul>\n<\/div><div class=\"wp-block-vk-blocks-button vk_button vk_button-color-custom vk_button-align-block\"><a href=\"\/eng\/file-download\/application\/pdf\/jitter.pdf\" style=\"background-color:#5b6069;border:1px solid #5b6069;color:#fff;\" class=\"vk_button_link btn btn-md btn-block white\" role=\"button\" aria-pressed=\"true\" target=\"_blank\"  rel=\"noopener\"><i class=\"fas vk_button_link_before fa-file-pdf\"><\/i><span class=\"vk_button_link_txt\">Download This Application Note (PDF) <\/span><\/a><\/div><p><\/p><div class=\"wp-block-cover is-light vk_block-margin-xl--margin-top\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-white-background-color has-background-dim\"><\/span><img class=\"wp-block-cover__image-background wp-image-8105\" alt=\"\" src=\"https:\/\/micronix-jp.com\/wp-content\/uploads\/2022\/11\/contact_cta_cover.png\" data-object-fit=\"cover\"\/><div class=\"wp-block-cover__inner-container is-layout-flow 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class=\"vk_button_link_txt\"><strong>Contact Form<\/strong><\/span><\/div><\/a><\/div><\/div><\/div><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>The way of calculating jitter of a clock signal from the phase noise measured with the signal analyzer is mentioned. Application Connection block diagram Solution The clock jitter is computable [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":8197,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"vkexunit_cta_each_option":"","footnotes":""},"categories":[17],"tags":[47,65,75],"class_list":["post-2254","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-category-note","tag-app-knowledge","tag-market-electronic-components","tag-application-spectrum-analyzer"],"_links":{"self":[{"href":"https:\/\/micronix-jp.com\/english\/wp-json\/wp\/v2\/posts\/2254","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/micronix-jp.com\/english\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/micronix-jp.com\/english\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/micronix-jp.com\/english\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/micronix-jp.com\/english\/wp-json\/wp\/v2\/comments?post=2254"}],"version-history":[{"count":1,"href":"https:\/\/micronix-jp.com\/english\/wp-json\/wp\/v2\/posts\/2254\/revisions"}],"predecessor-version":[{"id":7048,"href":"https:\/\/micronix-jp.com\/english\/wp-json\/wp\/v2\/posts\/2254\/revisions\/7048"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/micronix-jp.com\/english\/wp-json\/wp\/v2\/media\/8197"}],"wp:attachment":[{"href":"https:\/\/micronix-jp.com\/english\/wp-json\/wp\/v2\/media?parent=2254"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/micronix-jp.com\/english\/wp-json\/wp\/v2\/categories?post=2254"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/micronix-jp.com\/english\/wp-json\/wp\/v2\/tags?post=2254"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}