{"id":8995,"date":"2018-03-07T20:17:37","date_gmt":"2018-03-07T19:17:37","guid":{"rendered":"https:\/\/www.ig.cas.cz\/?page_id=8995"},"modified":"2018-03-08T09:42:09","modified_gmt":"2018-03-08T08:42:09","slug":"pca-decomposition","status":"publish","type":"page","link":"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/","title":{"rendered":"PCA_decomposition package: calculation of the common wavelet from seismic traces"},"content":{"rendered":"

[et_pb_section bb_built=”1″][et_pb_row][et_pb_column type=”4_4″][et_pb_image _builder_version=”3.0.102″ src=”https:\/\/www.ig.cas.cz\/wp-content\/uploads\/2018\/01\/PCA-decomposition.png” show_in_lightbox=”off” url_new_window=”off” use_overlay=”off” always_center_on_mobile=”on” force_fullwidth=”off” show_bottom_space=”on” align=”left” \/][et_pb_text _builder_version=”3.0.105″ background_layout=”light”]<\/p>\n

Version 1.0, last update 5.9.2017<\/p>\n

Author<\/h3>\n

V\u00e1clav Vavry\u010duk (vv@ig.cas.cz), Jana Doubravov\u00e1 (doubravka@ig.cas.cz)<\/p>\n

Short description<\/h3>\n

PCA-DECOMPOSITION is a Matlab software package for the Principal Component Decomposition of seismic traces for extracting the common wavelet. Details about the method are published in Vavry\u010duk et al. (2017).<\/p>\n

Primary reference<\/h3>\n

Vavry\u010duk, V., Adamov\u00e1, P., Doubravov\u00e1, J., Jakoubkov\u00e1, H., 2017. Moment tensor inversion based on the principal component analysis of waveforms: Method and application to microearthquakes in West Bohemia, Czech Republic<\/a>, Seismological Research Letters, 88(5), 1303-1315, doi: 10.1785\/0220170027.<\/p>\n

Download<\/h3>\n

Please fill in the following form. After submitting needed information the software you will be redirected to download.<\/p>\n

 <\/p>\n

[\/et_pb_text][et_pb_contact_form _builder_version=”3.0.102″ captcha=”on” use_redirect=”on” custom_button=”off” button_icon_placement=”right” submit_button_text=”Submit” email=”vv@ig.cas.cz” custom_message=”PCA_DECOMPOSITION downloaded by||et_pb_line_break_holder||||et_pb_line_break_holder||%%Name%% %%Surname%%||et_pb_line_break_holder||||et_pb_line_break_holder||email: %%Email%%||et_pb_line_break_holder||affiliation: %%Affiliation%%” redirect_url=”\/wp-content\/uploads\/2018\/02\/pca_decomposition_v1_0_zip_18053.zip” success_message=”PCA DECOMPOSITION download should have started, enjoy it!”][et_pb_contact_field field_title=”Name” field_type=”input” field_id=”Name” required_mark=”on” fullwidth_field=”off” _builder_version=”3.0.102″ checkbox_checked=”off” checkbox_options=”%91{%22value%22:%22Jm\u00e9no%22,%22checked%22:0}%93″ radio_options=”%91{%22value%22:%22Jm\u00e9no%22,%22checked%22:0}%93″ select_options=”%91{%22value%22:%22Jm\u00e9no%22,%22checked%22:0}%93″ min_length=”0″ 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User guide<\/h3>\n

The software is structured in the following directories: Data, Figures, Output, Programs<\/strong>.<\/p>\n

The PCA decomposition is run by a script called PCA_wavelet.m<\/strong> stored in the Programs directory. Before running the code, change your Matlab directory to \/Programs\/<\/strong>.<\/p>\n

Input parameters<\/h4>\n

Input parameters for individual events should be stored in the Data directory. The standard name of the input file is \/Data\/event_list.txt<\/strong>.<\/p>\n

The input parameters are formed by nine columns. Each line consists of values of one event:<\/p>\n

    \n
  • ID<\/strong> – identification name of the event<\/li>\n
  • W1, W2<\/strong> – times of the beginning of the window (increasing part from 0 to 1)<\/li>\n
  • W3, W4<\/strong> – times of the end of the window (decreasing part from 1 to 0)<\/li>\n
  • fr_1, fr_2<\/strong> – the lower and upper corner frequency of the band-pass filter<\/li>\n
  • reference_station<\/strong> – name of the station, for which the polarity of the wavelet is known<\/li>\n
  • reference_polarity<\/strong> – polarity of the wavelet at the reference station<\/li>\n<\/ul>\n

    Control parameters<\/h4>\n

    Control parameters are stored in the Matlab script \/Programs\/configuration_PCA.m.<\/strong><\/p>\n

    The following parameters control the processing of seismic traces:<\/p>\n

      \n
    • t_min_show, t_max_show<\/strong> – time interval for plotting seismic traces (in sec)<\/li>\n
    • dt<\/strong> – sampling interval used for calculating tiny shifts ofwaveforms<\/li>\n
    • N<\/strong> – maximum number of samples in seismic traces<\/li>\n
    • t_shift_limit<\/strong> – maximum shift (in sec) for alignment of traces by cross-correlation<\/li>\n
    • i_int<\/strong> – option for integrating velocity records to displacementrecords<\/li>\n
    • i_zero_phase<\/strong> – option for using the zero-phase band-pass filter<\/li>\n
    • i_plot<\/strong> – option for plotting figures<\/li>\n
    • i_plot_save<\/strong> – option for saving figures<\/li>\n<\/ul>\n

      Input data<\/h3>\n

      Input data for individual events should be stored in the \/Data\/Events<\/strong> directory. The standard name of the input files is \/Data\/Events\/ID.mat<\/strong>.<\/p>\n

      The data files contain data structure event_data:<\/p>\n

        \n
      • event_data.stations<\/strong> – names of the stations<\/li>\n
      • event_data.components<\/strong> – components identifying the traces<\/li>\n
      • event_data.sampling_rate<\/strong> – sampling rate of seismic records<\/li>\n
      • event_data.traces<\/strong> – individual seismic traces<\/li>\n<\/ul>\n

        Output<\/h4>\n

        The output files are stored in the Output directory. The standard names of the output files are:<\/p>\n

          \n
        • \/Output\/ID_pca_amplitudes.txt<\/strong> – contains names of station and the PCA amplitudes<\/li>\n
        • \/Output\/ID_wavelet.txt<\/strong> – contains the common PCA wavelet<\/li>\n<\/ul>\n

          Figures<\/h4>\n

          Figures are stored in the Figures directory. The code generates the following postscript figures:<\/p>\n

            \n
          • \/Figures\/ID_data.eps<\/strong> – raw and filtered seismic traces,<\/li>\n
          • \/Figures\/ID_data_pc.eps<\/strong> – filtered seismic traces with the principal components,<\/li>\n
          • \/Figures\/ID_pc.eps<\/strong> – the first (in red) and second (in black) principal components.<\/li>\n<\/ul>\n

            Example<\/h4>\n

            As an example, we provide the input files for two micro-earthquakes from the West Bohemia swarm area (see Vavry\u010duk et al., 2017).<\/p>\n

            To run the code: change your Matlab directory to \/Programs\/<\/strong> and call PCA_wavelet.m.<\/strong><\/p>\n

            Copyright<\/h4>\n

            The code can be freely used for research purposes only. In the case of publishing the results obtained by this code, please, refer to the paper of Vavry\u010duk et al. (2017). If you intend to use the code for commercial purposes, you should contact the author for providing with the commercial licence. The use of the software for commercial purposes with no commercial licence is prohibited.<\/p>\n

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            \n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div> Version 1.0, last update 5.9.2017 Author V\u00e1clav Vavry\u010duk (vv@ig.cas.cz), Jana Doubravov\u00e1 (doubravka@ig.cas.cz) Short description PCA-DECOMPOSITION is a Matlab software package for the Principal Component Decomposition of seismic traces for extracting the common wavelet. Details about the method are published in Vavry\u010duk et al. (2017). Primary reference Vavry\u010duk, V., Adamov\u00e1, P., Doubravov\u00e1, J., Jakoubkov\u00e1, H., […]<\/p>\n","protected":false},"author":9,"featured_media":3406,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-8995","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"\nPCA_decomposition package: calculation of the common wavelet from seismic traces - Geofyzik\u00e1ln\u00ed \u00fastav Akademie v\u011bd \u010cR, v.v.i.<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"PCA_decomposition package: calculation of the common wavelet from seismic traces - Geofyzik\u00e1ln\u00ed \u00fastav Akademie v\u011bd \u010cR, v.v.i.\" \/>\n<meta property=\"og:description\" content=\"Version 1.0, last update 5.9.2017 Author V\u00e1clav Vavry\u010duk (vv@ig.cas.cz), Jana Doubravov\u00e1 (doubravka@ig.cas.cz) Short description PCA-DECOMPOSITION is a Matlab software package for the Principal Component Decomposition of seismic traces for extracting the common wavelet. Details about the method are published in Vavry\u010duk et al. (2017). Primary reference Vavry\u010duk, V., Adamov\u00e1, P., Doubravov\u00e1, J., Jakoubkov\u00e1, H., […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/\" \/>\n<meta property=\"og:site_name\" content=\"Dom\u016f\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/GFUAVCR\/\" \/>\n<meta property=\"article:modified_time\" content=\"2018-03-08T08:42:09+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.ig.cas.cz\/wp-content\/uploads\/2018\/01\/seismogram_header.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"2500\" \/>\n\t<meta property=\"og:image:height\" content=\"260\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"8 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/\",\"url\":\"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/\",\"name\":\"PCA_decomposition package: calculation of the common wavelet from seismic traces - Geofyzik\u00e1ln\u00ed \u00fastav Akademie v\u011bd \u010cR, v.v.i.\",\"isPartOf\":{\"@id\":\"https:\/\/www.ig.cas.cz\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.ig.cas.cz\/wp-content\/uploads\/2018\/01\/seismogram_header.jpg\",\"datePublished\":\"2018-03-07T19:17:37+00:00\",\"dateModified\":\"2018-03-08T08:42:09+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/#primaryimage\",\"url\":\"https:\/\/www.ig.cas.cz\/wp-content\/uploads\/2018\/01\/seismogram_header.jpg\",\"contentUrl\":\"https:\/\/www.ig.cas.cz\/wp-content\/uploads\/2018\/01\/seismogram_header.jpg\",\"width\":2500,\"height\":260,\"caption\":\"Joe Parks from Berkeley, CA, Creative Commons Uve\u010fte autora 2.0 Generic\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\u016f\",\"item\":\"https:\/\/www.ig.cas.cz\/en\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"PCA_decomposition package: calculation of the common wavelet from seismic traces\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.ig.cas.cz\/#website\",\"url\":\"https:\/\/www.ig.cas.cz\/\",\"name\":\"Dom\u016f\",\"description\":\"Geofyzik\u00e1ln\u00ed \u00fastav Akademie v\u011bd \u010cR, v.v.i.\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.ig.cas.cz\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"PCA_decomposition package: calculation of the common wavelet from seismic traces - Geofyzik\u00e1ln\u00ed \u00fastav Akademie v\u011bd \u010cR, v.v.i.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/","og_locale":"en_US","og_type":"article","og_title":"PCA_decomposition package: calculation of the common wavelet from seismic traces - Geofyzik\u00e1ln\u00ed \u00fastav Akademie v\u011bd \u010cR, v.v.i.","og_description":"Version 1.0, last update 5.9.2017 Author V\u00e1clav Vavry\u010duk (vv@ig.cas.cz), Jana Doubravov\u00e1 (doubravka@ig.cas.cz) Short description PCA-DECOMPOSITION is a Matlab software package for the Principal Component Decomposition of seismic traces for extracting the common wavelet. Details about the method are published in Vavry\u010duk et al. (2017). Primary reference Vavry\u010duk, V., Adamov\u00e1, P., Doubravov\u00e1, J., Jakoubkov\u00e1, H., […]","og_url":"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/","og_site_name":"Dom\u016f","article_publisher":"https:\/\/www.facebook.com\/GFUAVCR\/","article_modified_time":"2018-03-08T08:42:09+00:00","og_image":[{"width":2500,"height":260,"url":"https:\/\/www.ig.cas.cz\/wp-content\/uploads\/2018\/01\/seismogram_header.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"8 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/","url":"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/","name":"PCA_decomposition package: calculation of the common wavelet from seismic traces - Geofyzik\u00e1ln\u00ed \u00fastav Akademie v\u011bd \u010cR, v.v.i.","isPartOf":{"@id":"https:\/\/www.ig.cas.cz\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/#primaryimage"},"image":{"@id":"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/#primaryimage"},"thumbnailUrl":"https:\/\/www.ig.cas.cz\/wp-content\/uploads\/2018\/01\/seismogram_header.jpg","datePublished":"2018-03-07T19:17:37+00:00","dateModified":"2018-03-08T08:42:09+00:00","breadcrumb":{"@id":"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/#primaryimage","url":"https:\/\/www.ig.cas.cz\/wp-content\/uploads\/2018\/01\/seismogram_header.jpg","contentUrl":"https:\/\/www.ig.cas.cz\/wp-content\/uploads\/2018\/01\/seismogram_header.jpg","width":2500,"height":260,"caption":"Joe Parks from Berkeley, CA, Creative Commons Uve\u010fte autora 2.0 Generic"},{"@type":"BreadcrumbList","@id":"https:\/\/www.ig.cas.cz\/en\/pca-decomposition\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Dom\u016f","item":"https:\/\/www.ig.cas.cz\/en\/"},{"@type":"ListItem","position":2,"name":"PCA_decomposition package: calculation of the common wavelet from seismic traces"}]},{"@type":"WebSite","@id":"https:\/\/www.ig.cas.cz\/#website","url":"https:\/\/www.ig.cas.cz\/","name":"Dom\u016f","description":"Geofyzik\u00e1ln\u00ed \u00fastav Akademie v\u011bd \u010cR, v.v.i.","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.ig.cas.cz\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/www.ig.cas.cz\/en\/wp-json\/wp\/v2\/pages\/8995","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ig.cas.cz\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.ig.cas.cz\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.ig.cas.cz\/en\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ig.cas.cz\/en\/wp-json\/wp\/v2\/comments?post=8995"}],"version-history":[{"count":0,"href":"https:\/\/www.ig.cas.cz\/en\/wp-json\/wp\/v2\/pages\/8995\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.ig.cas.cz\/en\/wp-json\/wp\/v2\/media\/3406"}],"wp:attachment":[{"href":"https:\/\/www.ig.cas.cz\/en\/wp-json\/wp\/v2\/media?parent=8995"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ig.cas.cz\/en\/wp-json\/wp\/v2\/categories?post=8995"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ig.cas.cz\/en\/wp-json\/wp\/v2\/tags?post=8995"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}