{"id":192,"date":"2011-07-06T07:02:51","date_gmt":"2011-07-06T07:02:51","guid":{"rendered":"http:\/\/www.raymaps.com\/blog\/?p=192"},"modified":"2013-03-06T11:54:59","modified_gmt":"2013-03-06T11:54:59","slug":"shannon-capacity-of-lte-effective","status":"publish","type":"post","link":"https:\/\/www.raymaps.com\/index.php\/shannon-capacity-of-lte-effective\/","title":{"rendered":"Shannon Capacity of LTE (Effective)"},"content":{"rendered":"<p style=\"text-align: justify;\">In the previous post we calculated the Shannon Capacity of LTE as a function of bandwidth. We now calculate the capacity as a function of SNR (bandwidth fixed at 20MHz and signal power varied). We also use the concept of effective bandwidth to get a more realistic estimate of the capacity. The modified Shannon Capacity formula is given as:<\/p>\n<p style=\"text-align: justify;\">C=B_eff*log2(1+SNR)<\/p>\n<p style=\"text-align: justify;\">where<\/p>\n<p style=\"text-align: justify;\">B_eff=Bandwidth*eff1*eff2*eff3*eff4<\/p>\n<p style=\"text-align: justify;\">eff1=0.9=due to adjacent channel leakage ratio and practical filter issues<\/p>\n<p style=\"text-align: justify;\">eff2=0.93=due to cyclic prefix<\/p>\n<p style=\"text-align: justify;\">eff3=0.94=due to pilot assisted channel estimation<\/p>\n<p style=\"text-align: justify;\">eff4=0.715=due to signalling overhead<\/p>\n<p style=\"text-align: justify;\">B_eff=0.57*B<\/p>\n<p style=\"text-align: justify;\">Therefore<\/p>\n<p style=\"text-align: justify;\">C=0.57*B*log2(1+SNR)<\/p>\n<figure id=\"attachment_193\" aria-describedby=\"caption-attachment-193\" style=\"width: 560px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/www.raymaps.com\/index.php\/shannon-capacity-of-lte-effective\/lte_capacity2\/\" rel=\"attachment wp-att-193\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-193\" title=\"LTE Capacity\" alt=\"\" src=\"http:\/\/www.raymaps.com\/wp-content\/uploads\/2011\/07\/LTE_capacity2.jpg\" width=\"560\" height=\"420\" srcset=\"https:\/\/www.raymaps.com\/wp-content\/uploads\/2011\/07\/LTE_capacity2.jpg 560w, https:\/\/www.raymaps.com\/wp-content\/uploads\/2011\/07\/LTE_capacity2-300x225.jpg 300w\" sizes=\"auto, (max-width: 560px) 100vw, 560px\" \/><\/a><figcaption id=\"caption-attachment-193\" class=\"wp-caption-text\">LTE Capacity<\/figcaption><\/figure>\n<p style=\"text-align: justify;\">Note: This is the capacity in a SISO channel with no fading.<\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\">\n","protected":false},"excerpt":{"rendered":"<p>In the previous post we calculated the Shannon Capacity of LTE as a function of bandwidth. We now calculate the capacity as a function of SNR (bandwidth fixed at 20MHz and signal power varied). We also use the concept of effective bandwidth to get a more realistic estimate of the capacity. The modified Shannon Capacity formula is given as: C=B_eff*log2(1+SNR) where B_eff=Bandwidth*eff1*eff2*eff3*eff4 eff1=0.9=due to adjacent channel leakage ratio and practical filter issues eff2=0.93=due to cyclic prefix eff3=0.94=due to pilot assisted channel estimation eff4=0.715=due to signalling overhead B_eff=0.57*B Therefore C=0.57*B*log2(1+SNR) Note: This is the capacity in a SISO channel with no [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22,18],"tags":[114,28,25],"class_list":["post-192","post","type-post","status-publish","format-standard","hentry","category-capacity","category-lte","tag-lte","tag-shannon-capacity","tag-throughput"],"_links":{"self":[{"href":"https:\/\/www.raymaps.com\/index.php\/wp-json\/wp\/v2\/posts\/192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.raymaps.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.raymaps.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.raymaps.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.raymaps.com\/index.php\/wp-json\/wp\/v2\/comments?post=192"}],"version-history":[{"count":9,"href":"https:\/\/www.raymaps.com\/index.php\/wp-json\/wp\/v2\/posts\/192\/revisions"}],"predecessor-version":[{"id":1911,"href":"https:\/\/www.raymaps.com\/index.php\/wp-json\/wp\/v2\/posts\/192\/revisions\/1911"}],"wp:attachment":[{"href":"https:\/\/www.raymaps.com\/index.php\/wp-json\/wp\/v2\/media?parent=192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.raymaps.com\/index.php\/wp-json\/wp\/v2\/categories?post=192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.raymaps.com\/index.php\/wp-json\/wp\/v2\/tags?post=192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}