{"id":211,"date":"2009-12-23T14:01:54","date_gmt":"2009-12-23T14:01:54","guid":{"rendered":"https:\/\/blogs.mathworks.com\/loren\/2009\/12\/23\/fourier-transforms\/"},"modified":"2009-12-18T19:17:21","modified_gmt":"2009-12-18T19:17:21","slug":"fourier-transforms","status":"publish","type":"post","link":"https:\/\/blogs.mathworks.com\/loren\/2009\/12\/23\/fourier-transforms\/","title":{"rendered":"Fourier Transforms!"},"content":{"rendered":"<div xmlns:mwsh=\"https:\/\/www.mathworks.com\/namespace\/mcode\/v1\/syntaxhighlight.dtd\" class=\"content\">\r\n   <h1>Fourier Transforms!<\/h1>\r\n   <p>I wanted to point out to all of you interested in Fourier transforms that <a href=\"https:\/\/blogs.mathworks.com\/steve\/\">Steve<\/a> is in the midst of posting a <a href=\"https:\/\/blogs.mathworks.com\/steve\/category\/fourier-transforms\/\">collection<\/a> of wisdom on this topic.  Discussions talk about nomenclature, discrete vs. continuous transforms, normalization, and more.\r\n       You'd be well served to follow this sequence if you've ever had questions about Fourier transforms.\r\n   <\/p><script language=\"JavaScript\">\r\n<!--\r\n\r\n    function grabCode_6cf0769690374be1bcaf3e3606bbe284() {\r\n        \/\/ Remember the title so we can use it in the new page\r\n        title = document.title;\r\n\r\n        \/\/ Break up these strings so that their presence\r\n        \/\/ in the Javascript doesn't mess up the search for\r\n        \/\/ the MATLAB code.\r\n        t1='6cf0769690374be1bcaf3e3606bbe284 ' + '##### ' + 'SOURCE BEGIN' + ' #####';\r\n        t2='##### ' + 'SOURCE END' + ' #####' + ' 6cf0769690374be1bcaf3e3606bbe284';\r\n    \r\n        b=document.getElementsByTagName('body')[0];\r\n        i1=b.innerHTML.indexOf(t1)+t1.length;\r\n        i2=b.innerHTML.indexOf(t2);\r\n \r\n        code_string = b.innerHTML.substring(i1, i2);\r\n        code_string = code_string.replace(\/REPLACE_WITH_DASH_DASH\/g,'--');\r\n\r\n        \/\/ Use \/x3C\/g instead of the less-than character to avoid errors \r\n        \/\/ in the XML parser.\r\n        \/\/ Use '\\x26#60;' instead of '<' so that the XML parser\r\n        \/\/ doesn't go ahead and substitute the less-than character. \r\n        code_string = code_string.replace(\/\\x3C\/g, '\\x26#60;');\r\n\r\n        author = 'Loren Shure';\r\n        copyright = 'Copyright 2009 The MathWorks, Inc.';\r\n\r\n        w = window.open();\r\n        d = w.document;\r\n        d.write('<pre>\\n');\r\n        d.write(code_string);\r\n\r\n        \/\/ Add author and copyright lines at the bottom if specified.\r\n        if ((author.length > 0) || (copyright.length > 0)) {\r\n            d.writeln('');\r\n            d.writeln('%%');\r\n            if (author.length > 0) {\r\n                d.writeln('% _' + author + '_');\r\n            }\r\n            if (copyright.length > 0) {\r\n                d.writeln('% _' + copyright + '_');\r\n            }\r\n        }\r\n\r\n        d.write('<\/pre>\\n');\r\n      \r\n      d.title = title + ' (MATLAB code)';\r\n      d.close();\r\n      }   \r\n      \r\n-->\r\n<\/script><p style=\"text-align: right; font-size: xx-small; font-weight:lighter;   font-style: italic; color: gray\"><br><a href=\"javascript:grabCode_6cf0769690374be1bcaf3e3606bbe284()\"><span style=\"font-size: x-small;        font-style: italic;\">Get \r\n            the MATLAB code \r\n            <noscript>(requires JavaScript)<\/noscript><\/span><\/a><br><br>\r\n      Published with MATLAB&reg; 7.9<br><\/p>\r\n<\/div>\r\n<!--\r\n6cf0769690374be1bcaf3e3606bbe284 ##### SOURCE BEGIN #####\r\n%% Fourier Transforms!\r\n% I wanted to point out to all of you interested in Fourier transforms that\r\n% <https:\/\/blogs.mathworks.com\/steve\/ Steve> is in the midst of posting a\r\n% <https:\/\/blogs.mathworks.com\/steve\/category\/fourier-transforms\/ collection>\r\n% of wisdom on this topic.  Discussions talk about nomenclature, discrete\r\n% vs. continuous transforms, normalization, and more.  You'd be well served\r\n% to follow this sequence if you've ever had questions about Fourier\r\n% transforms.\r\n##### SOURCE END ##### 6cf0769690374be1bcaf3e3606bbe284\r\n-->","protected":false},"excerpt":{"rendered":"<p>\r\n   Fourier Transforms!\r\n   I wanted to point out to all of you interested in Fourier transforms that Steve is in the midst of posting a collection of wisdom on this topic.  Discussions talk about... <a class=\"read-more\" href=\"https:\/\/blogs.mathworks.com\/loren\/2009\/12\/23\/fourier-transforms\/\">read more >><\/a><\/p>","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[25,27,37],"tags":[],"_links":{"self":[{"href":"https:\/\/blogs.mathworks.com\/loren\/wp-json\/wp\/v2\/posts\/211"}],"collection":[{"href":"https:\/\/blogs.mathworks.com\/loren\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.mathworks.com\/loren\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/loren\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/loren\/wp-json\/wp\/v2\/comments?post=211"}],"version-history":[{"count":0,"href":"https:\/\/blogs.mathworks.com\/loren\/wp-json\/wp\/v2\/posts\/211\/revisions"}],"wp:attachment":[{"href":"https:\/\/blogs.mathworks.com\/loren\/wp-json\/wp\/v2\/media?parent=211"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/loren\/wp-json\/wp\/v2\/categories?post=211"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/loren\/wp-json\/wp\/v2\/tags?post=211"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}