{"id":312,"date":"2013-01-08T16:06:46","date_gmt":"2013-01-08T16:06:46","guid":{"rendered":"http:\/\/ahay.org\/blog\/?p=312"},"modified":"2015-09-02T14:27:54","modified_gmt":"2015-09-02T14:27:54","slug":"program-of-the-month-sfricker1","status":"publish","type":"post","link":"https:\/\/ahay.org\/blog\/2013\/01\/08\/program-of-the-month-sfricker1\/","title":{"rendered":"Program of the month: sfricker1"},"content":{"rendered":"<p><a href=\"\/RSF\/sfricker1.html\">sfricker1<\/a> implements 1-D convolution with the Ricker wavelet. <\/p>\n<p>The following example from <a href=\"\/RSF\/book\/rsf\/rsf\/wedge.html\">rsf\/rsf\/wedge<\/a> shows convolution modeling with a wedge model using <strong>sfricker1<\/strong>. <\/p>\n<p><img decoding=\"async\" src=\"\/RSF\/book\/rsf\/rsf\/wedge\/Fig\/wseis.png\" alt=\"\" title=\"\" \/> <\/p>\n<p>The convolution is implemented in the frequency domain, where the Ricker wavelet takes the form<br \/>\n$$F(\\omega) = \\frac{\\omega^2}{\\omega_0^2}\\,\\exp\\left(-\\frac{\\omega^2}{\\omega_0^2}\\right)$$<br \/>\nThe peak frequency $\\omega_0$ can be specified either in hertz (with <strong>frequency=<\/strong> parameter) as a fraction of the Nyquist frequency (with <strong>freq=<\/strong> parameter). Optionally, it is possible to combine the Ricker wavelet with a half-order derivative filter using <strong>deriv=y<\/strong>. <\/p>\n<h3 id=\"10previousprogramsofthemonth\">10 previous programs of the month<\/h3>\n<ul>\n<li><a href=\"\/blog\/2012\/12\/23\/program-of-the-month-sfhalfint\/\">sfhalfint<\/a><\/li>\n<li><a href=\"\/blog\/2012\/11\/03\/program-of-the-month-sfbandpass\/\">sfbandpass<\/a><\/li>\n<li><a href=\"\/blog\/2012\/10\/03\/program-of-the-month-sfkirmod\/\">sfkirmod<\/a><\/li>\n<li><a href=\"\/blog\/2012\/09\/03\/program-of-the-month-sfiwarp\/\">sfiwarp<\/a><\/li>\n<li><a href=\"\/blog\/2012\/08\/01\/program-of-the-month-sfpick\/\">sfpick<\/a><\/li>\n<li><a href=\"\/blog\/2012\/07\/02\/program-of-the-month-sffft3\/\">sffft3<\/a><\/li>\n<li><a href=\"\/blog\/2012\/06\/02\/program-of-the-month-sfdip\/\">sfdip<\/a><\/li>\n<li><a href=\"\/blog\/2012\/05\/01\/program-of-the-month-sfderiv\/\">sfderiv<\/a><\/li>\n<li><a href=\"\/blog\/2012\/04\/01\/program-of-the-month-sfgrey3\/\">sfgrey3<\/a><\/li>\n<li><a href=\"\/blog\/2012\/03\/18\/program-of-the-month-sfspectra\/\">sfspectra<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>sfricker1 implements 1-D convolution with the Ricker wavelet. The following example from rsf\/rsf\/wedge shows convolution modeling with a wedge model using sfricker1. The convolution is implemented in the frequency domain, where the Ricker wavelet takes the form $$F(\\omega) = \\frac{\\omega^2}{\\omega_0^2}\\,\\exp\\left(-\\frac{\\omega^2}{\\omega_0^2}\\right)$$ The peak frequency $\\omega_0$ can be specified either in hertz (with frequency= parameter) as a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_import_markdown_pro_load_document_selector":0,"_import_markdown_pro_submit_text_textarea":"","activitypub_content_warning":"","activitypub_content_visibility":"","activitypub_max_image_attachments":4,"activitypub_interaction_policy_quote":"anyone","activitypub_status":"","footnotes":""},"categories":[3],"tags":[],"class_list":["post-312","post","type-post","status-publish","format-standard","hentry","category-programs"],"_links":{"self":[{"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/posts\/312","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/comments?post=312"}],"version-history":[{"count":3,"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/posts\/312\/revisions"}],"predecessor-version":[{"id":19580,"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/posts\/312\/revisions\/19580"}],"wp:attachment":[{"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/media?parent=312"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/categories?post=312"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/tags?post=312"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}