{"id":93,"date":"2025-10-31T00:25:51","date_gmt":"2025-10-31T00:25:51","guid":{"rendered":"https:\/\/vibromera.eu\/glossary\/cross-spectrum\/"},"modified":"2026-05-23T22:41:17","modified_gmt":"2026-05-23T22:41:17","slug":"cross-spectrum","status":"publish","type":"glossary","link":"https:\/\/vibromera.eu\/fi\/glossary\/cross-spectrum\/","title":{"rendered":"Mik\u00e4 on ristispektrianalyysi? Kaksikanavainen taajuusanalyysi"},"content":{"rendered":"<h1>Ristispektrien ymm\u00e4rt\u00e4minen<\/h1>\n\t\t<section class=\"woocommerce hestia-shop products is-shortcode\" id=\"products\" data-sorder=\"hestia_shop\" >\n\t\t\t\t\t\t<div class=\"\">\n\t\t\t\t\t\t<div class=\"hestia-shop-content\">\n\t\t\t<div class=\"row\" data-aos=\"fade-up\" >\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/fi\/product\/balanset-1\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/fi\/product\/balanset-1\/\" title=\"Kannettava tasapainotin ja t\u00e4rin\u00e4analysaattori Balanset-1A\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Balanset-1A kannettava tasapainotin ja v\u00e4r\u00e4htelyanalysaattori, t\u00e4ydellinen sarja\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-18x12.webp 18w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-272x182.webp 272w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/fi\/product-category\/devices\/\" rel=\"tag\">Laitteet<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/fi\/product\/balanset-1\/\" title=\"Kannettava tasapainotin ja t\u00e4rin\u00e4analysaattori Balanset-1A\">Kannettava tasapainotin &#038; t\u00e4rin\u00e4analysaattori Balanset-1A<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">&euro;<\/span>1,975.00<\/span> + ALV (jos sovellettavissa)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/fi\/wp-json\/wp\/v2\/glossary\/93?add-to-cart=986\" data-quantity=\"1\" data-product_id=\"986\" data-product_sku=\"BS-1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Lis\u00e4\u00e4 ostoskoriin\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Lis\u00e4\u00e4 ostoskoriin\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/fi\/wp-json\/wp\/v2\/glossary\/93?add-to-cart=986\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_986\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"986\" data-product_sku=\"BS-1\" aria-label=\"Lis\u00e4\u00e4 ostoskoriin: \u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d\" rel=\"nofollow\" data-success_message=\"\u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d on lis\u00e4tty ostoskoriin\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Lis\u00e4\u00e4 ostoskoriin<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_986\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/fi\/product\/vibration-sensor\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/fi\/product\/vibration-sensor\/\" title=\"T\u00e4rin\u00e4anturi\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Balanset-1A:n t\u00e4rin\u00e4anturin l\u00e4hikuva\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-1024x682.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3.webp 1280w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/fi\/product-category\/parts\/\" rel=\"tag\">Osat<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/fi\/product\/vibration-sensor\/\" title=\"T\u00e4rin\u00e4anturi\">T\u00e4rin\u00e4anturi<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">&euro;<\/span>90.00<\/span> + ALV (jos sovellettavissa)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/fi\/wp-json\/wp\/v2\/glossary\/93?add-to-cart=1820\" data-quantity=\"1\" data-product_id=\"1820\" data-product_sku=\"VS-1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Lis\u00e4\u00e4 ostoskoriin\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Lis\u00e4\u00e4 ostoskoriin\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/fi\/wp-json\/wp\/v2\/glossary\/93?add-to-cart=1820\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_1820\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"1820\" data-product_sku=\"VS-1\" aria-label=\"Lis\u00e4\u00e4 ostoskoriin: \u201cVibration sensor\u201d\" rel=\"nofollow\" data-success_message=\"\u201cVibration sensor\u201d on lis\u00e4tty ostoskoriin\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Lis\u00e4\u00e4 ostoskoriin<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_1820\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/fi\/product\/optical-sensor-for-balanset-and-arbalance\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/fi\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optinen anturi (lasertakometri)\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Optinen anturi (lasertakometri)\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-1024x682.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-1536x1023.webp 1536w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-18x12.webp 18w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-460x306.webp 460w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU.webp 1600w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/fi\/product-category\/parts\/\" rel=\"tag\">Osat<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/fi\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optinen anturi (lasertakometri)\">Optinen anturi (lasertakometri)<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">&euro;<\/span>124.00<\/span> + ALV (jos sovellettavissa)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/fi\/wp-json\/wp\/v2\/glossary\/93?add-to-cart=1832\" data-quantity=\"1\" data-product_id=\"1832\" data-product_sku=\"Tach-1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Lis\u00e4\u00e4 ostoskoriin\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Lis\u00e4\u00e4 ostoskoriin\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/fi\/wp-json\/wp\/v2\/glossary\/93?add-to-cart=1832\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_1832\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"1832\" data-product_sku=\"Tach-1\" aria-label=\"Lis\u00e4\u00e4 ostoskoriin: \u201cOptical Sensor (Laser Tachometer)\u201d\" rel=\"nofollow\" data-success_message=\"\u201cOptical Sensor (Laser Tachometer)\u201d on lis\u00e4tty ostoskoriin\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Lis\u00e4\u00e4 ostoskoriin<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_1832\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/fi\/product\/balanset-4\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/fi\/product\/balanset-4\/\" title=\"Balanset-4\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Vibromera-roottorin tasapainotussarja: kantolaukku, monikanavainen signaalimuunnin, k\u00e4dess\u00e4 pidett\u00e4v\u00e4 analysaattori, magneettijalusta, t\u00e4rin\u00e4anturit ja kierretyt kaapelit.\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-18x12.webp 18w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-460x306.webp 460w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4.webp 640w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/fi\/product-category\/devices\/\" rel=\"tag\">Laitteet<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/fi\/product\/balanset-4\/\" title=\"Balanset-4\">Balanset-4<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">&euro;<\/span>6,803.00<\/span> + ALV (jos sovellettavissa)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/fi\/wp-json\/wp\/v2\/glossary\/93?add-to-cart=1833\" data-quantity=\"1\" data-product_id=\"1833\" data-product_sku=\"BS-4\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Lis\u00e4\u00e4 ostoskoriin\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Lis\u00e4\u00e4 ostoskoriin\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/fi\/wp-json\/wp\/v2\/glossary\/93?add-to-cart=1833\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_1833\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"1833\" data-product_sku=\"BS-4\" aria-label=\"Lis\u00e4\u00e4 ostoskoriin: \u201cBalanset-4\u201d\" rel=\"nofollow\" data-success_message=\"\u201cBalanset-4\u201d on lis\u00e4tty ostoskoriin\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Lis\u00e4\u00e4 ostoskoriin<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_1833\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div><!-- \/.row --><div class=\"row\">\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/fi\/product\/magnet-stand\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/fi\/product\/magnet-stand\/\" title=\"Magneettinen jalusta Insize-60-kgf\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Magneettipohja.\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-1024x682.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36.webp 1280w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/fi\/product-category\/parts\/\" rel=\"tag\">Osat<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/fi\/product\/magnet-stand\/\" title=\"Magneettinen jalusta Insize-60-kgf\">Magneettinen jalusta Insize-60-kgf<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">&euro;<\/span>46.00<\/span> + ALV (jos sovellettavissa)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/fi\/wp-json\/wp\/v2\/glossary\/93?add-to-cart=1852\" data-quantity=\"1\" data-product_id=\"1852\" data-product_sku=\"MS-1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Lis\u00e4\u00e4 ostoskoriin\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Lis\u00e4\u00e4 ostoskoriin\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/fi\/wp-json\/wp\/v2\/glossary\/93?add-to-cart=1852\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_1852\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"1852\" data-product_sku=\"MS-1\" aria-label=\"Lis\u00e4\u00e4 ostoskoriin: \u201cMagnetic Stand Insize-60-kgf\u201d\" rel=\"nofollow\" data-success_message=\"\u201cMagnetic Stand Insize-60-kgf\u201d on lis\u00e4tty ostoskoriin\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Lis\u00e4\u00e4 ostoskoriin<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_1852\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/fi\/product\/reflective-tape\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/fi\/product\/reflective-tape\/\" title=\"Heijastava nauha\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Heijastava nauha\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-16x12.webp 16w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-460x306.webp 460w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-272x182.webp 272w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/fi\/product-category\/parts\/\" rel=\"tag\">Osat<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/fi\/product\/reflective-tape\/\" title=\"Heijastava nauha\">Heijastava nauha<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">&euro;<\/span>10.00<\/span> + ALV (jos sovellettavissa)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/fi\/wp-json\/wp\/v2\/glossary\/93?add-to-cart=2329\" data-quantity=\"1\" data-product_id=\"2329\" data-product_sku=\"rt-1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Lis\u00e4\u00e4 ostoskoriin\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Lis\u00e4\u00e4 ostoskoriin\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/fi\/wp-json\/wp\/v2\/glossary\/93?add-to-cart=2329\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_2329\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"2329\" data-product_sku=\"rt-1\" aria-label=\"Lis\u00e4\u00e4 ostoskoriin: \u201cReflective tape\u201d\" rel=\"nofollow\" data-success_message=\"\u201cReflective tape\u201d on lis\u00e4tty ostoskoriin\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Lis\u00e4\u00e4 ostoskoriin<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_2329\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/fi\/product\/dynamic-balancer-balanset-1a\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/fi\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dynaaminen tasapainotin &quot;Balanset-1A&quot; OEM\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Balanset-1A-pakkauksen sis\u00e4lt\u00f6, jossa on liit\u00e4nt\u00e4yksikk\u00f6, anturit, kierroslukumittari ja lis\u00e4varusteet\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-1024x683.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-1536x1024.webp 1536w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-2048x1366.webp 2048w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-e1732998877834.webp 708w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/fi\/product-category\/devices\/\" rel=\"tag\">Laitteet<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/fi\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dynaaminen tasapainotin &quot;Balanset-1A&quot; OEM\">Dynaaminen tasapainotin \"Balanset-1A\" OEM<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">&euro;<\/span>1,735.00<\/span> + ALV (jos sovellettavissa)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/fi\/wp-json\/wp\/v2\/glossary\/93?add-to-cart=4193\" data-quantity=\"1\" data-product_id=\"4193\" data-product_sku=\"BS-1OEM\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Lis\u00e4\u00e4 ostoskoriin\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Lis\u00e4\u00e4 ostoskoriin\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/fi\/wp-json\/wp\/v2\/glossary\/93?add-to-cart=4193\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_4193\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"4193\" data-product_sku=\"BS-1OEM\" aria-label=\"Lis\u00e4\u00e4 ostoskoriin: \u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d\" rel=\"nofollow\" data-success_message=\"\u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d on lis\u00e4tty ostoskoriin\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Lis\u00e4\u00e4 ostoskoriin<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_4193\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/section>\n\t\t\n<p><strong>Ristispektri<\/strong> \u2014 jota kutsutaan my\u00f6s ristitehospektriksi tai ristispektritiheydeksi \u2014 on taajuusalueella esitetty kuvaus kahden samanaikaisesti mitatun <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/vibration\/\">t\u00e4rin\u00e4<\/a> signaaleja. Se lasketaan kertomalla <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/fft\/\">FFT<\/a> toisen signaalin FFT:n kompleksikonjugaatilla. Jos <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/auto-spectrum\/\">autospektri<\/a> kuvaa yhden kanavan taajuussis\u00e4lt\u00f6\u00e4, kun taas ristispektri paljastaa, mitk\u00e4 taajuudet ovat <em>common<\/em> molemmille signaaleille ja <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/phase\/\">vaihe<\/a> niiden v\u00e4linen suhde kaikilla taajuuksilla.<\/p>\n<p>T\u00e4m\u00e4 tekee ristispektrist\u00e4 edistyneen monikanava-analyysin matemaattisen perustan: <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/transfer-function\/\">siirtofunktio<\/a> estimation, <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/coherence\/\">koherenssi<\/a> analyysi sek\u00e4 toimintapoikkeaman muoto (<a href=\"https:\/\/vibromera.eu\/fi\/glossary\/ods-analysis\/\">ODS<\/a>) mittaukset perustuvat kaikki siihen. K\u00e4yt\u00e4nn\u00f6ss\u00e4 se antaa insin\u00f6\u00f6rille mahdollisuuden n\u00e4hd\u00e4, miten t\u00e4rin\u00e4 etenee rakenteessa, ja tunnistaa syy-seuraussuhteita mittauspisteiden v\u00e4lill\u00e4 \u2013 mik\u00e4 on asia, jota yksikanavainen <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/spectrum\/\">spektri<\/a> ei yksinkertaisesti pysty tekem\u00e4\u00e4n.<\/p>\n<h2>1. Matemaattinen m\u00e4\u00e4ritelm\u00e4<\/h2>\n<h3>Laskenta<\/h3>\n<p>M\u00e4\u00e4rittelev\u00e4 suhde on tiivis:<\/p>\n<blockquote>\n<p><strong>G<sub>xy<\/sub>(f) = X(f) \u00d7 Y*(f)<\/strong><\/p>\n<\/blockquote>\n<ul>\n<li>X(f) on signaalin x(t) FFT.<\/li>\n<li>Y*(f) on signaalin y(t) FFT:n kompleksinen konjugaatti.<\/li>\n<li>Tuloksena on kompleksiluku, joka sis\u00e4lt\u00e4\u00e4 sek\u00e4 suuruuden ett\u00e4 vaiheen.<\/li>\n<\/ul>\n<h3>Komponentit<\/h3>\n<ul>\n<li><strong>Suuruus \u2014 |G<sub>xy<\/sub>(f)|:<\/strong> osoittaa, kuinka voimakas on niiden taajuussis\u00e4lt\u00f6, joka n\u00e4ill\u00e4 kahdella signaalilla on yhteist\u00e4.<\/li>\n<li><strong>Phase \u2014 \u2220G<sub>xy<\/sub>(f):<\/strong> kuvaa signaalien v\u00e4list\u00e4 vaihe-eroa kullakin taajuudella.<\/li>\n<li><strong>Todellinen osa:<\/strong> samavaiheinen eli kospektrinen komponentti.<\/li>\n<li><strong>Imagin\u00e4\u00e4riosa:<\/strong> kvadratuurikomponentti eli 90\u00b0:n vaihe-erossa oleva komponentti.<\/li>\n<\/ul>\n<h2>2. Properties<\/h2>\n<p>Kolme ominaisuutta erottaa ristispektrin tutusta autospektrist\u00e4, ja jokaisella niist\u00e4 on merkityst\u00e4 tulkinnassa.<\/p>\n<h3>Se on kompleksiluku<\/h3>\n<ul>\n<li>Toisin kuin autospektri, joka on pelk\u00e4st\u00e4\u00e4n reaaliluku, ristispektri on kompleksiluku.<\/li>\n<li>Siksi se sis\u00e4lt\u00e4\u00e4 sek\u00e4 amplitudin ett\u00e4 vaiheen.<\/li>\n<li>Juuri tuossa vaihetiedossa on koko asian ydin \u2013 se paljastaa, miten n\u00e4m\u00e4 kaksi signaalia suhtautuvat toisiinsa ajallisesti.<\/li>\n<\/ul>\n<h3>Se ei ole symmetrinen<\/h3>\n<ul>\n<li>Yleisesti G<sub>xy<\/sub>(f) \u2260 G<sub>yx<\/sub>(f).<\/li>\n<li>J\u00e4rjestys on t\u00e4rke\u00e4 \u2013 se, mit\u00e4 signaalia pid\u00e4t vertailukohtana, vaikuttaa tulokseen.<\/li>\n<li>Formally, G<sub>yx<\/sub>(f) on G:n kompleksinen konjugaatti<sub>xy<\/sub>(f), joten vaiheen merkki yksinkertaisesti vaihtuu.<\/li>\n<\/ul>\n<h3>Se edellytt\u00e4\u00e4 keskiarvon laskemista<\/h3>\n<ul>\n<li>Yksitt\u00e4inen ristispektri on kohinainen ja ep\u00e4luotettava.<\/li>\n<li>Useiden ristispektrien keskiarvon laskeminen tuottaa vakaan arvion.<\/li>\n<li>Korreloimattomien kohinakomponenttien keskiarvo on nolla, koska niiden vaihe vaihtelee satunnaisesti lohkojen v\u00e4lill\u00e4.<\/li>\n<li>Todella kesken\u00e4\u00e4n korreloivat komponentit pysyv\u00e4t samassa vaiheessa ja vahvistavat toisiaan \u2013 juuri t\u00e4m\u00e4n vuoksi keskiarvon laskeminen tarkentaa estimaattia.<\/li>\n<\/ul>\n<h2>3. Sovellukset<\/h2>\n<h3>Siirtofunktion laskeminen<\/h3>\n<p>T\u00e4m\u00e4 on kaikkein t\u00e4rkein sovellus:<\/p>\n<blockquote>\n<p><strong>H(f) = G<sub>xy<\/sub>(f) \/ G<sub>xx<\/sub>(f)<\/strong><\/p>\n<\/blockquote>\n<ul>\n<li>T\u00e4ss\u00e4 x on tulo ja y on l\u00e4ht\u00f6.<\/li>\n<li>Tuloksesta k\u00e4y ilmi, miten j\u00e4rjestelm\u00e4 reagoi her\u00e4tteeseen.<\/li>\n<li>Sen suuruus ilmaisee vahvistuksen tai vaimennuksen kullakin taajuudella.<\/li>\n<li>Sen vaihe osoittaa aikaviiveen ja <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/resonance\/\">resonanssi<\/a> behaviour.<\/li>\n<li>Se on keskeinen mittaus <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/modal-analysis\/\">modaalianalyysi<\/a> ja rakenteellinen dynamiikka, joka liittyy l\u00e4heisesti <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/frequency-response-function\/\">taajuusvastefunktio<\/a>.<\/li>\n<\/ul>\n<h3>Koherenss\u0438\u043d laskeminen<\/h3>\n<ul>\n<li>Koherenssi m\u00e4\u00e4ritell\u00e4\u00e4n seuraavasti: <strong>|G<sub>xy<\/sub>|\u00b2 \/ (G<sub>xx<\/sub> \u00d7 G<sub>yy<\/sub>)<\/strong>.<\/li>\n<li>Se mittaa kahden signaalin v\u00e4list\u00e4 korrelaatiota kullakin taajuudella.<\/li>\n<li>Se vaihtelee v\u00e4lill\u00e4 0\u20131: arvo 1 tarkoittaa t\u00e4ydellist\u00e4 korrelaatiota, 0 taas sit\u00e4, ettei korrelaatiota ole lainkaan.<\/li>\n<li>Se vahvistaa mittauslaadun ja ilmoittaa, miss\u00e4 tulos on v\u00e4\u00e4ristynyt kohinan vuoksi \u2014 v\u00e4ltt\u00e4m\u00e4t\u00f6n <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/bump-test\/\">bump-testi<\/a> tai modaalitutkimuksen aikana.<\/li>\n<\/ul>\n<h3>Vaiheiden v\u00e4listen suhteiden m\u00e4\u00e4ritt\u00e4minen<\/h3>\n<ul>\n<li>Ristispektrin vaihe paljastaa viiveen tai resonanssin suoraan.<\/li>\n<li><strong>0\u00b0:<\/strong> signaalit ovat samassa vaiheessa ja liikkuvat yht\u00e4 aikaa.<\/li>\n<li><strong>180\u00b0:<\/strong> signaalit ovat vaihe-erossa ja liikkuvat vastakkaisiin suuntiin.<\/li>\n<li><strong>90\u00b0:<\/strong> kvadratuuri, joka viittaa resonanssiin tai puhtaaseen aikaviiveeseen.<\/li>\n<li>T\u00e4m\u00e4 on diagnoosin perustana <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/mode-shape\/\">moodimuodot<\/a> sek\u00e4 t\u00e4rin\u00e4n siirtymisen j\u00e4ljitt\u00e4miseen.<\/li>\n<\/ul>\n<h3>Yhteismoodin vaimennus<\/h3>\n<ul>\n<li>Ristispektri erottelee molemmille kanaville yhteiset taajuuskomponentit.<\/li>\n<li>Korreloimaton kohina kumoutuu keskiarvoistamisen avulla.<\/li>\n<li>Todelliset, yhteiset signaalikomponentit erottuvat taustasta.<\/li>\n<li>K\u00e4yt\u00e4nn\u00f6n hy\u00f6tyn\u00e4 on parempi signaali-kohinasuhde.<\/li>\n<\/ul>\n<h2>4. K\u00e4yt\u00e4nn\u00f6n mittaustilanteita<\/h2>\n<p>Abstrakti idea muuttuu konkreettiseksi heti, kun kaksi anturia asennetaan oikeaan koneeseen. Kolme arkip\u00e4iv\u00e4ist\u00e4 sovellusta osoittavat sen hy\u00f6dyn.<\/p>\n<h3>Laakerien vertailu<\/h3>\n<ul>\n<li>Signaali X: laakerin 1 t\u00e4rin\u00e4. Signaali Y: laakerin 2 t\u00e4rin\u00e4.<\/li>\n<li>Ristispektri osoittaa taajuudet, jotka vaikuttavat molempiin laakereihin samanaikaisesti.<\/li>\n<li>T\u00e4m\u00e4 erottaa roottoriin liittyv\u00e4n yleisen ongelman yksitt\u00e4iseen laakeriin liittyv\u00e4st\u00e4 ongelmasta <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/bearing-defects\/\">laakeri<\/a>.<\/li>\n<\/ul>\n<h3>Tulo\u2013L\u00e4ht\u00f6analyysi<\/h3>\n<ul>\n<li>Signaali X: voima tai t\u00e4rin\u00e4 tulopuolella \u2014 kytkin tai vetolaitteen laakeri.<\/li>\n<li>Signaali Y: vaste l\u00e4ht\u00f6puolella \u2014 ohjattavan laitteen laakeri.<\/li>\n<li>Ristispektri paljastaa niiden v\u00e4liset siirto-ominaisuudet.<\/li>\n<li>T\u00e4m\u00e4 johdettu siirtofunktio kuvaa tarkasti, miten t\u00e4rin\u00e4 etenee <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/coupling-defects\/\">kytkin<\/a>.<\/li>\n<\/ul>\n<h3>Rakenteellinen siirto<\/h3>\n<ul>\n<li>Signaali X: laakeripes\u00e4n t\u00e4rin\u00e4. Signaali Y: perustuksen tai rungon t\u00e4rin\u00e4.<\/li>\n<li>Ristispektri osoittaa, mitk\u00e4 taajuudet todella saavuttavat rakenteen.<\/li>\n<li>Se ohjaa erist\u00e4mist\u00e4 tai j\u00e4ykist\u00e4mist\u00e4 koskevia p\u00e4\u00e4t\u00f6ksi\u00e4 ja liittyy suoraan <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/foundation-stiffness\/\">perustuksen j\u00e4ykkyys<\/a> ja <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/structural-resonance\/\">rakenteellinen resonanssi<\/a> ongelmia.<\/li>\n<\/ul>\n<h2>5. Ristispektrin tulkinta<\/h2>\n<h3>Suuri amplitudi tietyll\u00e4 taajuudella<\/h3>\n<ul>\n<li>T\u00e4m\u00e4 osoittaa, ett\u00e4 kyseisell\u00e4 taajuudella signaalien v\u00e4lill\u00e4 on vahva korrelaatio.<\/li>\n<li>Viittaa yhteiseen l\u00e4hteeseen tai vahvaan kytkent\u00e4\u00e4n n\u00e4iden kahden paikan v\u00e4lill\u00e4.<\/li>\n<li>Komponentti esiintyy todellakin molemmissa signaaleissa.<\/li>\n<\/ul>\n<h3>Pieni amplitudi tietyll\u00e4 taajuudella<\/h3>\n<ul>\n<li>Viittaa v\u00e4h\u00e4iseen korrelaatioon \u2013 heikkoon kytkent\u00e4\u00e4n tai siihen, ettei yhteist\u00e4 l\u00e4hdett\u00e4 ole.<\/li>\n<li>Komponentti voi esiinty\u00e4 toisessa signaalissa, mutta ei toisessa.<\/li>\n<li>Tai kyseess\u00e4 voi olla yksinkertaisesti eri l\u00e4hteist\u00e4 per\u00e4isin oleva, toisistaan riippumaton kohina.<\/li>\n<\/ul>\n<h3>Vaihetiedot<\/h3>\n<ul>\n<li><strong>0\u00b0:<\/strong> signaalit liikkuvat yhten\u00e4isesti \u2014 j\u00e4ykk\u00e4 kytkent\u00e4 tai toiminta resonanssin alapuolella.<\/li>\n<li><strong>180\u00b0:<\/strong> signaalit liikkuvat vastakkaisiin suuntiin \u2014 resonanssin yl\u00e4puolella tai symmetria-akselin yli.<\/li>\n<li><strong>90\u00b0:<\/strong> kvadratuuri \u2014 resonanssissa tai tietyn geometrian seurauksena.<\/li>\n<li><strong>Taajuudesta riippuva vaihe:<\/strong> vaiheen muutos taajuuden mukaan paljastaa rakenteen dynaamisen k\u00e4ytt\u00e4ytymisen.<\/li>\n<\/ul>\n<h2>6. Edistyneet sovellukset<\/h2>\n<h3>Monikanavainen tulo- ja l\u00e4ht\u00f6analyysi<\/h3>\n<ul>\n<li>Useat vertailusignaalit on yhdistetty useisiin vasteisiin.<\/li>\n<li>Tuloksena on kattava ristiinspektrimatriisi.<\/li>\n<li>Se tunnistaa useita samanaikaisia siirtoreittej\u00e4.<\/li>\n<li>T\u00e4m\u00e4 on se, mik\u00e4 luonnehtii aidosti monimutkaisia j\u00e4rjestelmi\u00e4.<\/li>\n<\/ul>\n<h3>K\u00e4ytt\u00f6tilaiset taipumamuodot<\/h3>\n<ul>\n<li>Koneen ymp\u00e4rill\u00e4 sijaitsevista lukuisista mittauspisteist\u00e4 otetaan ristispektrit.<\/li>\n<li>Niiden vaihesuhteet m\u00e4\u00e4ritt\u00e4v\u00e4t poikkeutuskuvion.<\/li>\n<li>T\u00e4m\u00e4n j\u00e4lkeen koko rakenteen liike voidaan visualisoida ja animoida.<\/li>\n<li>Tuloksessa resonanssimoodit erottuvat selv\u00e4sti.<\/li>\n<\/ul>\n<h2>7. Ristispektri kentt\u00e4tasapainotuksessa<\/h2>\n<p>Vaikka ristispektri yhdistet\u00e4\u00e4n useimmiten modaaliseen ja rakenteelliseen tutkimukseen, sama kaksikanavainen matematiikka on perustana jokap\u00e4iv\u00e4isess\u00e4 <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/kenttatasapaino\/\">kentt\u00e4tasapainotus<\/a>. Kannettava kaksikanavainen laite, kuten <a href=\"https:\/\/vibromera.eu\/fi\/tuote\/balanset-1\/\">Balanset-1A<\/a> mittaa t\u00e4rin\u00e4\u00e4 kahdella laakeritasolla samanaikaisesti ja vertaa molempia kerran kierrosta kohti tulevaan kierroslukumittarin pulssiin, jolloin se pystyy m\u00e4\u00e4ritt\u00e4m\u00e4\u00e4n 1\u00d7-komponentin amplitudin ja vaiheen kummallakin tasolla sek\u00e4 laskemaan ristikytkenn\u00e4n <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/influence-coefficient\/\">vaikutuskertoimet<\/a> jotka yhdist\u00e4v\u00e4t toisessa tasossa vaikuttavan painon toisen tason reaktioon. T\u00e4m\u00e4 kaksikanavainen, vaiheeseen perustuva suhde on k\u00e4sitteellisesti juoksunopeuteen keskittyv\u00e4 ristispektri \u2013 ja juuri se mahdollistaa oikean kahden tason <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/dynamic-balancing\/\">dynaaminen tasapainotus<\/a> mahdollista valmiiksi kootussa koneessa.<\/p>\n<p>Lyhyesti sanottuna ristispektri laajentaa taajuusanalyysin yhdest\u00e4 kanavasta useisiin kanaviin, paljastaen signaalien v\u00e4liset suhteet, jotka mahdollistavat siirtofunktion laskemisen, koherenssin validoinnin sek\u00e4 sen ymm\u00e4rt\u00e4misen, miten t\u00e4rin\u00e4 etenee koneen ja sen tukien l\u00e4pi. Vaikka se on vaativampi kuin autospektri, se on kuitenkin v\u00e4ltt\u00e4m\u00e4t\u00f6n modaalitestauksessa, rakenteellisessa dynamiikassa ja kaikissa monimutkaisissa vianm\u00e4\u00e4rityksiss\u00e4, jotka perustuvat monipistemittauksiin.<\/p>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/fi\/glossary\/\">\u2190 Takaisin p\u00e4\u00e4hakemistoon<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Opi ristispektri- ja taajuusanalyysist\u00e4, joka yhdist\u00e4\u00e4 kaksi v\u00e4r\u00e4htelysignaalia, joilla on yhteinen taajuussis\u00e4lt\u00f6 ja vaihesuhteet. T\u00e4m\u00e4 on olennaista siirtofunktion ja koherenssianalyysin kannalta.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[114,109],"tags":[],"class_list":["post-93","glossary","type-glossary","status-publish","hentry","category-analysis","category-glossary"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/fi\/wp-json\/wp\/v2\/glossary\/93","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/fi\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/fi\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/fi\/wp-json\/wp\/v2\/glossary\/93\/revisions"}],"predecessor-version":[{"id":101329,"href":"https:\/\/vibromera.eu\/fi\/wp-json\/wp\/v2\/glossary\/93\/revisions\/101329"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/fi\/wp-json\/wp\/v2\/media?parent=93"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/fi\/wp-json\/wp\/v2\/categories?post=93"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/fi\/wp-json\/wp\/v2\/tags?post=93"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}