{"id":381,"date":"2018-12-29T10:19:33","date_gmt":"2018-12-29T10:19:33","guid":{"rendered":"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=381"},"modified":"2018-12-29T10:19:33","modified_gmt":"2018-12-29T10:19:33","slug":"analysis-in-the-frequency-domain","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/chapter\/analysis-in-the-frequency-domain\/","title":{"rendered":"Analysis in the Frequency Domain"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/LfD-ciF3-1k\" target=\"_blank\" rel=\"noopener\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n<img class=\"aligncenter size-full wp-image-382\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-05.jpg\" alt=\"\" width=\"891\" height=\"505\" \/> <img class=\"aligncenter size-full wp-image-383\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-08.jpg\" alt=\"\" width=\"874\" height=\"459\" \/> <img class=\"aligncenter size-full wp-image-384\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-11.jpg\" alt=\"\" width=\"869\" height=\"615\" \/> <img class=\"aligncenter size-full wp-image-385\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-14.jpg\" alt=\"\" width=\"877\" height=\"612\" \/> <img class=\"aligncenter size-full wp-image-386\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-19.jpg\" alt=\"\" width=\"880\" height=\"488\" \/> <img class=\"aligncenter size-full wp-image-387\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-23.jpg\" alt=\"\" width=\"861\" height=\"425\" \/> <img class=\"aligncenter size-full wp-image-388\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-28.jpg\" alt=\"\" width=\"858\" height=\"421\" \/> <img class=\"aligncenter size-full wp-image-389\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-30.jpg\" alt=\"\" width=\"705\" height=\"513\" \/> <img class=\"aligncenter size-full wp-image-390\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-33.jpg\" alt=\"\" width=\"829\" height=\"442\" \/> <img class=\"aligncenter size-full wp-image-391\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-38.jpg\" alt=\"\" width=\"862\" height=\"457\" \/> <img class=\"aligncenter size-full wp-image-392\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-41.jpg\" alt=\"\" width=\"849\" height=\"287\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Analysis in the Frequency Domain<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/LfD-ciF3-1k\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n&nbsp;\r\n\r\n<strong><em>References :<\/em><\/strong>\r\n\r\n<strong><em>\u00a0<\/em><\/strong>\r\n<ul>\r\n \t<li>S.Karlin&amp;H.M.Taylor : A First Course in Stochastic Process, Vol-1<\/li>\r\n \t<li>J Medhi : Stochastic Process<\/li>\r\n \t<li>D.R.Cox: : Renewal Theory<\/li>\r\n \t<li>S.Ross : Stochastic Process<\/li>\r\n \t<li>A.K.Basu : Stochastic Process<\/li>\r\n \t<li>P.G.Hoel, S.C.Port&amp;C.J.Stone : An Introduction to Stochastic Process<\/li>\r\n \t<li>R.N.Bhattacharyya&amp;E.Waymire : Stochastic Processes and Application<\/li>\r\n<\/ul>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/LfD-ciF3-1k\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-382\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-05.jpg\" alt=\"\" width=\"891\" height=\"505\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-05.jpg 891w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-05-300x170.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-05-768x435.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-05-65x37.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-05-225x128.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-05-350x198.jpg 350w\" sizes=\"auto, (max-width: 891px) 100vw, 891px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-383\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-08.jpg\" alt=\"\" width=\"874\" height=\"459\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-08.jpg 874w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-08-300x158.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-08-768x403.jpg 768w, 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src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-28.jpg\" alt=\"\" width=\"858\" height=\"421\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-28.jpg 858w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-28-300x147.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-28-768x377.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-28-65x32.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-28-225x110.jpg 225w, 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srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-38.jpg 862w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-38-300x159.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-38-768x407.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-38-65x34.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-38-225x119.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-38-350x186.jpg 350w\" sizes=\"auto, (max-width: 862px) 100vw, 862px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-392\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-41.jpg\" alt=\"\" width=\"849\" height=\"287\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-41.jpg 849w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-41-300x101.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-41-768x260.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-41-65x22.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-41-225x76.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465456466SPTS_AnalysisintheFrequencyDomain-1-41-350x118.jpg 350w\" sizes=\"auto, (max-width: 849px) 100vw, 849px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Analysis in the Frequency Domain<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/LfD-ciF3-1k\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p><strong><em>References :<\/em><\/strong><\/p>\n<p><strong><em>\u00a0<\/em><\/strong><\/p>\n<ul>\n<li>S.Karlin&amp;H.M.Taylor : A First Course in Stochastic Process, Vol-1<\/li>\n<li>J Medhi : Stochastic Process<\/li>\n<li>D.R.Cox: : Renewal Theory<\/li>\n<li>S.Ross : Stochastic Process<\/li>\n<li>A.K.Basu : Stochastic Process<\/li>\n<li>P.G.Hoel, S.C.Port&amp;C.J.Stone : An Introduction to Stochastic Process<\/li>\n<li>R.N.Bhattacharyya&amp;E.Waymire : Stochastic Processes and Application<\/li>\n<\/ul>\n","protected":false},"author":3,"menu_order":36,"template":"","meta":{"_acf_changed":false,"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["samopriya-basu","sugata-sen-roy"],"pb_section_license":""},"chapter-type":[],"contributor":[59,60],"license":[],"class_list":["post-381","chapter","type-chapter","status-publish","hentry","contributor-samopriya-basu","contributor-sugata-sen-roy"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapters\/381","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/users\/3"}],"version-history":[{"count":1,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapters\/381\/revisions"}],"predecessor-version":[{"id":393,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapters\/381\/revisions\/393"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapters\/381\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/media?parent=381"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapter-type?post=381"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/contributor?post=381"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/license?post=381"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}