{"id":158,"date":"2025-10-31T00:25:51","date_gmt":"2025-10-31T00:25:51","guid":{"rendered":"https:\/\/vibromera.eu\/glossary\/low-pass-filter\/"},"modified":"2026-05-23T22:43:47","modified_gmt":"2026-05-23T22:43:47","slug":"low-pass-filter","status":"publish","type":"glossary","link":"https:\/\/vibromera.eu\/sk\/glossary\/low-pass-filter\/","title":{"rendered":"\u010co je to n\u00edzkopriepustn\u00fd filter? Potla\u010denie aliasingu a vyhladzovanie"},"content":{"rendered":"<h1>Pochopenie n\u00edzkopriepustn\u00fdch filtrov<\/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\/sk\/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\/sk\/product\/balanset-1\/\" title=\"Prenosn\u00fd vyva\u017eova\u010d a analyz\u00e1tor vibr\u00e1ci\u00ed 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=\"Kompletn\u00e1 s\u00faprava prenosn\u00e9ho vyva\u017eovacieho zariadenia a analyz\u00e1tora vibr\u00e1ci\u00ed Balanset-1A\" 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\/sk\/product-category\/devices\/\" rel=\"tag\">Zariadenia<\/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\/sk\/product\/balanset-1\/\" title=\"Prenosn\u00fd vyva\u017eova\u010d a analyz\u00e1tor vibr\u00e1ci\u00ed Balanset-1A\">Prenosn\u00fd vyva\u017eova\u010d a analyz\u00e1tor vibr\u00e1ci\u00ed 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\">\u20ac<\/span>1,975.00<\/span> + DPH (ak sa uplat\u0148uje)<\/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=\"\/sk\/wp-json\/wp\/v2\/glossary\/158?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=\"Prida\u0165 do ko\u0161\u00edka\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Prida\u0165 do ko\u0161\u00edka\" 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=\"\/sk\/wp-json\/wp\/v2\/glossary\/158?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=\"Prida\u0165 do ko\u0161\u00edka: \u201ePortable balancer &amp; Vibration analyzer Balanset-1A\u201c\" rel=\"nofollow\" data-success_message=\"\u201ePortable balancer &amp; Vibration analyzer Balanset-1A\u201c bol pridan\u00fd do v\u00e1\u0161ho ko\u0161\u00edka\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Prida\u0165 do ko\u0161\u00edka<\/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\/sk\/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\/sk\/product\/vibration-sensor\/\" title=\"Sn\u00edma\u010d vibr\u00e1ci\u00ed\">\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=\"Sn\u00edma\u010d vibr\u00e1ci\u00ed Balanset-1A zbl\u00edzka\" 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\/sk\/product-category\/parts\/\" rel=\"tag\">Diely<\/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\/sk\/product\/vibration-sensor\/\" title=\"Sn\u00edma\u010d vibr\u00e1ci\u00ed\">Sn\u00edma\u010d vibr\u00e1ci\u00ed<\/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\">\u20ac<\/span>90.00<\/span> + DPH (ak sa uplat\u0148uje)<\/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=\"\/sk\/wp-json\/wp\/v2\/glossary\/158?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=\"Prida\u0165 do ko\u0161\u00edka\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Prida\u0165 do ko\u0161\u00edka\" 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=\"\/sk\/wp-json\/wp\/v2\/glossary\/158?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=\"Prida\u0165 do ko\u0161\u00edka: \u201eVibration sensor\u201c\" rel=\"nofollow\" data-success_message=\"\u201eVibration sensor\u201c bol pridan\u00fd do v\u00e1\u0161ho ko\u0161\u00edka\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Prida\u0165 do ko\u0161\u00edka<\/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\/sk\/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\/sk\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optick\u00fd senzor (laserov\u00fd tachometer)\">\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=\"Optick\u00fd senzor (laserov\u00fd tachometer)\" 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\/sk\/product-category\/parts\/\" rel=\"tag\">Diely<\/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\/sk\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optick\u00fd senzor (laserov\u00fd tachometer)\">Optick\u00fd senzor (laserov\u00fd tachometer)<\/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\">\u20ac<\/span>124.00<\/span> + DPH (ak sa uplat\u0148uje)<\/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=\"\/sk\/wp-json\/wp\/v2\/glossary\/158?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=\"Prida\u0165 do ko\u0161\u00edka\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Prida\u0165 do ko\u0161\u00edka\" 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=\"\/sk\/wp-json\/wp\/v2\/glossary\/158?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=\"Prida\u0165 do ko\u0161\u00edka: \u201eOptical Sensor (Laser Tachometer)\u201c\" rel=\"nofollow\" data-success_message=\"\u201eOptical Sensor (Laser Tachometer)\u201c bol pridan\u00fd do v\u00e1\u0161ho ko\u0161\u00edka\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Prida\u0165 do ko\u0161\u00edka<\/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\/sk\/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\/sk\/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=\"S\u00faprava na vyva\u017eovanie rotora Vibromera: prenosn\u00e9 puzdro, viackan\u00e1lov\u00fd prevodn\u00edk sign\u00e1lu, ru\u010dn\u00fd analyz\u00e1tor, magnetick\u00e1 z\u00e1klad\u0148a, vibra\u010dn\u00e9 senzory a \u0161pir\u00e1lov\u00e9 k\u00e1ble.\" 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\/sk\/product-category\/devices\/\" rel=\"tag\">Zariadenia<\/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\/sk\/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\">\u20ac<\/span>6,803.00<\/span> + DPH (ak sa uplat\u0148uje)<\/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=\"\/sk\/wp-json\/wp\/v2\/glossary\/158?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=\"Prida\u0165 do ko\u0161\u00edka\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Prida\u0165 do ko\u0161\u00edka\" 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=\"\/sk\/wp-json\/wp\/v2\/glossary\/158?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=\"Prida\u0165 do ko\u0161\u00edka: \u201eBalanset-4\u201c\" rel=\"nofollow\" data-success_message=\"\u201eBalanset-4\u201c bol pridan\u00fd do v\u00e1\u0161ho ko\u0161\u00edka\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Prida\u0165 do ko\u0161\u00edka<\/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\/sk\/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\/sk\/product\/magnet-stand\/\" title=\"Magnetick\u00fd stojan 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=\"Magnetick\u00e1 z\u00e1klad\u0148a.\" 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\/sk\/product-category\/parts\/\" rel=\"tag\">Diely<\/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\/sk\/product\/magnet-stand\/\" title=\"Magnetick\u00fd stojan Insize-60-kgf\">Magnetick\u00fd stojan 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\">\u20ac<\/span>46.00<\/span> + DPH (ak sa uplat\u0148uje)<\/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=\"\/sk\/wp-json\/wp\/v2\/glossary\/158?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=\"Prida\u0165 do ko\u0161\u00edka\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Prida\u0165 do ko\u0161\u00edka\" 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=\"\/sk\/wp-json\/wp\/v2\/glossary\/158?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=\"Prida\u0165 do ko\u0161\u00edka: \u201eMagnetic Stand Insize-60-kgf\u201c\" rel=\"nofollow\" data-success_message=\"\u201eMagnetic Stand Insize-60-kgf\u201c bol pridan\u00fd do v\u00e1\u0161ho ko\u0161\u00edka\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Prida\u0165 do ko\u0161\u00edka<\/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\/sk\/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\/sk\/product\/reflective-tape\/\" title=\"Reflexn\u00e1 p\u00e1ska\">\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=\"Reflexn\u00e1 p\u00e1ska\" 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\/sk\/product-category\/parts\/\" rel=\"tag\">Diely<\/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\/sk\/product\/reflective-tape\/\" title=\"Reflexn\u00e1 p\u00e1ska\">Reflexn\u00e1 p\u00e1ska<\/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\">\u20ac<\/span>10.00<\/span> + DPH (ak sa uplat\u0148uje)<\/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=\"\/sk\/wp-json\/wp\/v2\/glossary\/158?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=\"Prida\u0165 do ko\u0161\u00edka\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Prida\u0165 do ko\u0161\u00edka\" 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=\"\/sk\/wp-json\/wp\/v2\/glossary\/158?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=\"Prida\u0165 do ko\u0161\u00edka: \u201eReflective tape\u201c\" rel=\"nofollow\" data-success_message=\"\u201eReflective tape\u201c bol pridan\u00fd do v\u00e1\u0161ho ko\u0161\u00edka\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Prida\u0165 do ko\u0161\u00edka<\/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\/sk\/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\/sk\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dynamick\u00fd vyva\u017eova\u010d &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=\"Obsah s\u00fapravy Balanset-1A s jednotkou rozhrania, sn\u00edma\u010dmi, tachometrom a pr\u00edslu\u0161enstvom\" 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\/sk\/product-category\/devices\/\" rel=\"tag\">Zariadenia<\/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\/sk\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dynamick\u00fd vyva\u017eova\u010d &quot;Balanset-1A&quot; OEM\">Dynamick\u00fd vyva\u017eova\u010d \"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\">\u20ac<\/span>1,735.00<\/span> + DPH (ak sa uplat\u0148uje)<\/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=\"\/sk\/wp-json\/wp\/v2\/glossary\/158?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=\"Prida\u0165 do ko\u0161\u00edka\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Prida\u0165 do ko\u0161\u00edka\" 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=\"\/sk\/wp-json\/wp\/v2\/glossary\/158?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=\"Prida\u0165 do ko\u0161\u00edka: \u201eDynamic balancer \u201cBalanset-1A\u201d OEM\u201c\" rel=\"nofollow\" data-success_message=\"\u201eDynamic balancer \u201cBalanset-1A\u201d OEM\u201c bol pridan\u00fd do v\u00e1\u0161ho ko\u0161\u00edka\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Prida\u0165 do ko\u0161\u00edka<\/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>A <strong>dolnopriepustn\u00fd filter<\/strong> (LPF) je frekven\u010dne selekt\u00edvny prvok na spracovanie sign\u00e1lu, ktor\u00fd umo\u017e\u0148uje <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/vibration\/\">vibr\u00e1cie<\/a> komponenty pod zvolenou medznou frekvenciou prech\u00e1dzaj\u00fa a z\u00e1rove\u0148 tlmia komponenty nad \u0148ou. Na str\u00e1nke <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/vibration-analysis\/\">anal\u00fdza vibr\u00e1ci\u00ed<\/a> Vykon\u00e1va tri \u00falohy, bez ktor\u00fdch sa analyz\u00e1tor nezaob\u00edde: antialiasing (zastavenie falo\u0161n\u00fdch frekvenci\u00ed v digit\u00e1lnych \u00fadajoch), redukcia \u0161umu a izol\u00e1cia n\u00edzkofrekven\u010dnej oblasti na cielen\u00e9 \u0161t\u00fadium. Je to zrkadlov\u00fd obraz <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/high-pass-filter\/\">vysokop\u00e1smov\u00fd filter<\/a>, a tieto dva prvky s\u00fa z\u00e1kladn\u00fdmi stavebn\u00fdmi kame\u0148mi v\u0161etk\u00fdch ostatn\u00fdch <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/signal-filtering\/\">filtrovanie sign\u00e1lu<\/a> , a tieto dva prvky s\u00fa z\u00e1kladn\u00fdmi stavebn\u00fdmi kame\u0148mi ka\u017edej \u010fal\u0161ej<\/p>\n<p>N\u00edzkopriepustn\u00e9 filtre s\u00fa pravdepodobne najpou\u017e\u00edvanej\u0161\u00edmi filtrami vo vibra\u010dn\u00fdch pr\u00edstrojoch. Jeden z nich sa nach\u00e1dza pred prevodn\u00edkom v ka\u017edom digitaliza\u010dnom syst\u00e9me ako povinn\u00fd antialiasingov\u00fd filter a rovnak\u00e1 funkcia sa pon\u00faka aj ako analytick\u00fd n\u00e1stroj na vyhladenie \u00fadajov, odstr\u00e1nenie vysokofrekven\u010dn\u00e9ho \u0161umu a s\u00fastredenie sa na n\u00edzkofrekven\u010dn\u00e9 javy. Pochopenie toho, ako formuj\u00fa sign\u00e1l, je preto nevyhnutn\u00e9 pre d\u00f4veru v ak\u00fdko\u013evek <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/spectrum\/\">spektrum<\/a> \u010d\u00edtate.<\/p>\n<h2>1. Vlastnosti filtra<\/h2>\n<h3>Medzn\u00e1 frekvencia (f<sub>c<\/sub>)<\/h3>\n<ul>\n<li><strong>Defin\u00edcia:<\/strong> frekvencia, pri ktorej odozva filtra klesla na -3 dB, t. j. 70,7% amplit\u00fady priepustn\u00e9ho p\u00e1sma.<\/li>\n<li><strong>Pod f<sub>c<\/sub> (priepustn\u00e9 p\u00e1smo):<\/strong> frekvencie prech\u00e1dzaj\u00fa s minim\u00e1lnym \u00fatlmom.<\/li>\n<li><strong>Nad f<sub>c<\/sub> (stop p\u00e1smo):<\/strong> frekvencie sa postupne zoslabuj\u00fa.<\/li>\n<li><strong>Prechodov\u00e9 p\u00e1smo:<\/strong> oblas\u0165 okolo f<sub>c<\/sub> kde sa \u00fatlm neust\u00e1le zvy\u0161uje.<\/li>\n<\/ul>\n<h3>R\u00e1d filtra a strmos\u0165 poklesu<\/h3>\n<p>R\u00e1d filtra ur\u010duje, ako prudko prech\u00e1dza z priepustn\u00e9ho p\u00e1sma do p\u00e1sma zastavenia:<\/p>\n<ul>\n<li><strong>1. r\u00e1d:<\/strong> 6 dB\/okt\u00e1vu (20 dB\/dek\u00e1du) - postupn\u00fd \u00fatlm.<\/li>\n<li><strong>2. r\u00e1d:<\/strong> 12 dB\/okt\u00e1vu (40 dB\/dek\u00e1du) - mierne.<\/li>\n<li><strong>4. r\u00e1d:<\/strong> 24 dB\/okt\u00e1va (80 dB\/dek\u00e1da) - strm\u00fd.<\/li>\n<li><strong>8. r\u00e1d:<\/strong> 48 dB\/okt\u00e1va (160 dB\/dek\u00e1da) - ve\u013emi strm\u00fd.<\/li>\n<li><strong>Vy\u0161\u0161\u00ed stupe\u0148:<\/strong> ostrej\u0161\u00ed prechod a lep\u0161ia elimin\u00e1cia stop p\u00e1sma za cenu v\u00e4\u010d\u0161ieho f\u00e1zov\u00e9ho posunu a dlh\u0161ej prechodovej odozvy.<\/li>\n<\/ul>\n<h3>Typy odpoved\u00ed filtrov<\/h3>\n<p>Rovnak\u00fa medzn\u00fa frekvenciu a r\u00e1d mo\u017eno realizova\u0165 pomocou r\u00f4znych matematick\u00fdch tvarov, pri\u010dom ka\u017ed\u00fd z nich vymie\u0148a plochos\u0165, ostros\u0165 a f\u00e1zov\u00e9 spr\u00e1vanie:<\/p>\n<ul>\n<li><strong>Butterworth:<\/strong> maxim\u00e1lne ploch\u00e9 priepustn\u00e9 p\u00e1smo bez zvlnenia.<\/li>\n<li><strong>\u010ceby\u0161ev:<\/strong> ostrej\u0161ia medzn\u00e1 frekvencia, akceptovanie zvlnenia v priepustnom p\u00e1sme.<\/li>\n<li><strong>Bessel:<\/strong> line\u00e1rna f\u00e1za, \u010do znamen\u00e1 minim\u00e1lne skreslenie tvaru vlny - spr\u00e1vna vo\u013eba, ke\u010f tvar <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/time-waveform\/\">\u010dasov\u00fd priebeh<\/a> z\u00e1le\u017eitosti.<\/li>\n<li><strong>Eliptick\u00fd:<\/strong> najostrej\u0161\u00ed mo\u017en\u00fd prechod s vlnen\u00edm v priepustnom aj z\u00e1dr\u017enom p\u00e1sme.<\/li>\n<\/ul>\n<h2>2. Prim\u00e1rne aplik\u00e1cie<\/h2>\n<h3>Anti-Aliasing (najkritickej\u0161ie)<\/h3>\n<p>T\u00fato funkciu nem\u00f4\u017ee vynecha\u0165 \u017eiadny digitaliz\u00e1tor. Bez nej sa frekvencie nad Nyquistovou hranicou preklopia a objavia sa ako falo\u0161n\u00e9 \u0161pi\u010dky - jav <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/aliasing\/\">aliasovanie<\/a>.<\/p>\n<ul>\n<li><strong>\u00da\u010del:<\/strong> blokov\u00e9 frekvencie nad Nyquistovou frekvenciou (polovica vzorkovacej frekvencie).<\/li>\n<li><strong>Po\u017eiadavka:<\/strong> mus\u00ed kona\u0165 <em>pred<\/em> anal\u00f3govo-digit\u00e1lna konverzia - softv\u00e9r nem\u00f4\u017ee odstr\u00e1ni\u0165 alias dodato\u010dne.<\/li>\n<li><strong>Typick\u00e1 hranica:<\/strong> 0,4-0,8 \u00d7 (vzorkovacia frekvencia \/ 2).<\/li>\n<li><strong>Strmos\u0165:<\/strong> Typicky 8. r\u00e1d alebo vy\u0161\u0161\u00ed pre dobr\u00e9 potla\u010denie aliasingu<\/li>\n<li><strong>D\u00f4sledok zanedb\u00e1vania:<\/strong> nedostato\u010dn\u00fd antialiasing vytv\u00e1ra falo\u0161n\u00e9 spektr\u00e1lne \u0161pi\u010dky, ktor\u00e9 imituj\u00fa skuto\u010dn\u00e9 poruchy.<\/li>\n<\/ul>\n<h3>Zn\u00ed\u017eenie hluku<\/h3>\n<ul>\n<li>Odstra\u0148uje vysokofrekven\u010dn\u00fd elektrick\u00fd \u0161um.<\/li>\n<li>Odfiltruje \u0161um k\u00e1bla sn\u00edma\u010da.<\/li>\n<li>Vyhladzuje \u00fadaje pre <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/trending\/\">trendy<\/a>.<\/li>\n<li>Zlep\u0161uje pomer sign\u00e1lu k \u0161umu v pr\u00edpade z\u00e1ujmov\u00fdch n\u00edzkofrekven\u010dn\u00fdch zlo\u017eiek.<\/li>\n<\/ul>\n<h3>Obmedzenie frekven\u010dn\u00e9ho rozsahu<\/h3>\n<ul>\n<li>Zameriava anal\u00fdzu na frekven\u010dn\u00fd rozsah z\u00e1ujmu.<\/li>\n<li>Pr\u00edklad: anal\u00fdza 0-100 Hz pre n\u00edzkoot\u00e1\u010dkov\u00e9 stroje.<\/li>\n<li>Odstr\u00e1ni irelevantn\u00fd vysokofrekven\u010dn\u00fd obsah.<\/li>\n<li>Zni\u017euje po\u017eiadavky na spracovanie a ukladanie \u00fadajov.<\/li>\n<\/ul>\n<h3>Pr\u00edprava integr\u00e1cie<\/h3>\n<ul>\n<li>Aplikovan\u00e9 pred <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/integration\/\">integr\u00e1cia<\/a> <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/acceleration\/\">zr\u00fdchlenie<\/a> k <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/velocity\/\">r\u00fdchlos\u0165<\/a>.<\/li>\n<li>Odstra\u0148uje ve\u013emi vysok\u00e9 frekvencie - \u0161um, ktor\u00fd by inak integr\u00e1cia zosilnila.<\/li>\n<li>Typick\u00e1 hranica: 1000-5000 Hz v z\u00e1vislosti od aplik\u00e1cie.<\/li>\n<li>Zabra\u0148uje zosilneniu hluku, ktor\u00e9 je probl\u00e9mom nekontrolovanej integr\u00e1cie.<\/li>\n<\/ul>\n<h2>3. V\u00fdber medznej frekvencie<\/h2>\n<h3>Aplik\u00e1cie proti aliasingu<\/h3>\n<ul>\n<li><strong>Pravidlo:<\/strong> f<sub>c<\/sub> = 0,4 \u00d7 vzorkovacia frekvencia (konzervat\u00edvne) a\u017e 0,8 \u00d7 vzorkovacia frekvencia (agres\u00edvne).<\/li>\n<li><strong>Pr\u00edklad:<\/strong> vzorkovacia frekvencia 10 kHz d\u00e1va f<sub>c<\/sub> = 4000 Hz.<\/li>\n<li><strong>Krit\u00e9rium:<\/strong> \u00fatlm v p\u00e1sme zastavenia v\u00e4\u010d\u0161\u00ed ako 60 dB pri Nyquistovej frekvencii.<\/li>\n<\/ul>\n<h3>Analytick\u00e9 aplik\u00e1cie<\/h3>\n<ul>\n<li>Nastavenie f<sub>c<\/sub> tesne nad najvy\u0161\u0161ou frekvenciou z\u00e1ujmu.<\/li>\n<li>Pre n\u00edzkofrekven\u010dn\u00fa anal\u00fdzu (0-200 Hz): f<sub>c<\/sub> = 200-300 Hz.<\/li>\n<li>Pre <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/unbalance\/\">nevyv\u00e1\u017eenos\u0165<\/a> len (zlo\u017eka 1\u00d7): f<sub>c<\/sub> = 5-10\u00d7 <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/running-speed\/\">prev\u00e1dzkov\u00e1 r\u00fdchlos\u0165<\/a>.<\/li>\n<li>V\u017edy ponechajte rezervu pre prechodov\u00e9 p\u00e1smo filtra.<\/li>\n<\/ul>\n<h3>Zn\u00ed\u017eenie hluku<\/h3>\n<ul>\n<li>Identifikujte frekven\u010dn\u00fd rozsah \u0161umu zo spektra.<\/li>\n<li>Nastavenie f<sub>c<\/sub> prep\u00fa\u0161\u0165a\u0165 frekvencie sign\u00e1lu a odmietnu\u0165 frekvencie \u0161umu.<\/li>\n<li>Vyv\u00e1\u017ete odstr\u00e1nenie \u0161umu a zachovanie sign\u00e1lu.<\/li>\n<\/ul>\n<h2>4. Vplyv na merania<\/h2>\n<h3>Amplit\u00fadov\u00e1 dom\u00e9na<\/h3>\n<ul>\n<li><strong>Priepustn\u00e9 p\u00e1smo:<\/strong> minim\u00e1lna zmena amplit\u00fady, zvy\u010dajne menej ako 0,5 dB.<\/li>\n<li><strong>Zastavovacie p\u00e1smo:<\/strong> siln\u00fd \u00fatlm, 40-80 dB alebo viac.<\/li>\n<li><strong>Celkov\u00e1 \u00farove\u0148:<\/strong> filter zni\u017euje celkov\u00fd \u00fadaj o vibr\u00e1ci\u00e1ch, ak bol pr\u00edtomn\u00fd v\u00fdznamn\u00fd vysokofrekven\u010dn\u00fd obsah.<\/li>\n<\/ul>\n<h3>\u010casov\u00e1 dom\u00e9na<\/h3>\n<ul>\n<li>Priebeh sa vyhlad\u00ed, preto\u017ee sa odstr\u00e1nia vysokofrekven\u010dn\u00e9 odch\u00fdlky.<\/li>\n<li>Ostr\u00e9 hrany a hroty s\u00fa zaoblen\u00e9.<\/li>\n<li>Prechodov\u00e1 odozva (zvonenie filtra) m\u00f4\u017ee ovplyvni\u0165 tvar vlny<\/li>\n<li>F\u00e1zov\u00e9 skreslenie m\u00f4\u017ee zmeni\u0165 sp\u00f4sob interpret\u00e1cie tvaru vlny.<\/li>\n<\/ul>\n<h3>Frekven\u010dn\u00e1 dom\u00e9na<\/h3>\n<ul>\n<li>Spektrum vykazuje zn\u00ed\u017een\u00e9 amplit\u00fady nad hrani\u010dnou hodnotou.<\/li>\n<li>Vysokofrekven\u010dn\u00e9 \u0161pi\u010dky s\u00fa zn\u00ed\u017een\u00e9 alebo odstr\u00e1nen\u00e9.<\/li>\n<li>Hlukov\u00e1 hladina sa zn\u00ed\u017ei, ak bol hluk vysokofrekven\u010dn\u00fd.<\/li>\n<\/ul>\n<h2>5. Be\u017en\u00e9 probl\u00e9my a rie\u0161enia<\/h2>\n<h3>Nedostato\u010dn\u00e9 potla\u010denie aliasingu<\/h3>\n<ul>\n<li><strong>Pr\u00edznak:<\/strong> falo\u0161n\u00e9 n\u00edzkofrekven\u010dn\u00e9 vrcholy v spektre.<\/li>\n<li><strong>Pr\u00ed\u010dina:<\/strong> vysok\u00e9 frekvencie sa skladaj\u00fa sp\u00e4\u0165 pod Nyquistovu \u00farove\u0148.<\/li>\n<li><strong>Rie\u0161enie:<\/strong> pou\u017eite strm\u0161\u00ed filter, zv\u00fd\u0161te vzorkovaciu frekvenciu a overte, \u010di filter skuto\u010dne funguje.<\/li>\n<\/ul>\n<h3>Pr\u00edli\u0161 n\u00edzka medzn\u00e1 hodnota<\/h3>\n<ul>\n<li><strong>Pr\u00edznak:<\/strong> platn\u00e9 vysokofrekven\u010dn\u00e9 sign\u00e1ly s\u00fa oslaben\u00e9.<\/li>\n<li><strong>Pr\u00edklad:<\/strong> <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/bearing-fault-frequencies\/\">frekvencie por\u00fach lo\u017e\u00edsk<\/a> zn\u00ed\u017een\u00e1 pr\u00edli\u0161 agres\u00edvnym LPF.<\/li>\n<li><strong>Rie\u0161enie:<\/strong> zv\u00fd\u0161i\u0165 medzn\u00fa frekvenciu alebo pou\u017ei\u0165 miernej\u0161\u00ed sklon filtra.<\/li>\n<\/ul>\n<h3>Artefakty filtra<\/h3>\n<ul>\n<li><strong>Zvonenie:<\/strong> oscil\u00e1cie v \u010dasovej oblasti sp\u00f4soben\u00e9 ostr\u00fdm odrezan\u00edm filtra.<\/li>\n<li><strong>F\u00e1zov\u00e9 skreslenie:<\/strong> zmeny tvaru vlny vypl\u00fdvaj\u00face z f\u00e1zov\u00fdch posunov.<\/li>\n<li><strong>Rie\u0161enie:<\/strong> pou\u017e\u00edva\u0165 Besselov filter pre aplik\u00e1cie s kritick\u00fdm priebehom, kde je d\u00f4le\u017eit\u00e1 f\u00e1zov\u00e1 linearita.<\/li>\n<\/ul>\n<h2>6. Doplnkov\u00e9 filtre<\/h2>\n<h3>N\u00edzkopriepustn\u00fd vs. hornopriepustn\u00fd<\/h3>\n<ul>\n<li><strong>N\u00edzka priepustnos\u0165:<\/strong> prep\u00fa\u0161\u0165a n\u00edzke frekvencie, blokuje vysok\u00e9.<\/li>\n<li><strong>Vysok\u00e1 priepustnos\u0165:<\/strong> prep\u00fa\u0161\u0165a vysok\u00e9 frekvencie, blokuje n\u00edzke.<\/li>\n<li><strong>Doplnkov\u00e9:<\/strong> sa pou\u017e\u00edvaj\u00fa spolo\u010dne na vytvorenie p\u00e1smov\u00e9ho filtra.<\/li>\n<\/ul>\n<h3>P\u00e1smov\u00fd filter<\/h3>\n<ul>\n<li>Kombin\u00e1cia stup\u0148ov hornej a dolnej priepuste.<\/li>\n<li>V\u00fdsledn\u00fd <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/band-pass-filter\/\">p\u00e1smov\u00fd filter<\/a> prep\u00fa\u0161\u0165a len frekvencie v r\u00e1mci ur\u010den\u00e9ho p\u00e1sma.<\/li>\n<li>Odmieta obsah pod aj nad t\u00fdmto p\u00e1smom.<\/li>\n<li>Toto je predn\u00e1 \u010das\u0165 <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/envelope-analysis\/\">anal\u00fdza ob\u00e1lky<\/a>, kde sa pred demodul\u00e1ciou izoluje p\u00e1smo okolo \u0161truktur\u00e1lnej rezonancie lo\u017eiska.<\/li>\n<\/ul>\n<h2>7. Kam patr\u00ed dolnopriepustn\u00fd filter<\/h2>\n<p>V digit\u00e1lnom ter\u00e9nnom pr\u00edstroji je dolnopriepustn\u00fd filter v\u00e4\u010d\u0161inou nevidite\u013en\u00fd \u2014 svoju pr\u00e1cu proti aliasingu vykon\u00e1va v tichosti v akvizi\u010dnom re\u0165azci \u2014 a napriek tomu je z\u00e1kladom d\u00f4veryhodnosti ka\u017ed\u00e9ho \u010d\u00edtania. Prenosn\u00fd dvojkan\u00e1lov\u00fd analyz\u00e1tor, ako napr. <a href=\"https:\/\/vibromera.eu\/sk\/produkt\/balanset-1\/\">Balanset-1A<\/a> ka\u017ed\u00fd bandlimits <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/accelerometer\/\">akcelerometer<\/a> kan\u00e1la pred vzorkovan\u00edm, tak\u017ee <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/fft\/\">R\u00fdchla premena funkcie (FFT)<\/a> ktor\u00fd vypo\u010d\u00edtava na \u00fa\u010dely vyva\u017eovania a diagnostiky, neobsahuje v celom svojom pracovnom rozsahu aliasingom skreslen\u00e9 \u0161pi\u010dky. Pri \u010distom spektre dok\u00e1\u017ee analyz\u00e1tor rozl\u00ed\u0161i\u0165 1\u00d7 <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/phase\/\">amplit\u00fada a f\u00e1za<\/a> potrebn\u00e9 na vyv\u00e1\u017eenie rotora a nahl\u00e1senie pravdiv\u00e9ho <a href=\"https:\/\/vibromera.eu\/sk\/glossary\/residual-unbalance\/\">zvy\u0161kov\u00e1 nevyv\u00e1\u017eenos\u0165<\/a>, a nie nah\u00e1\u0148a\u0165 sa za pr\u00edzra\u010dnou frekvenciou vytvorenou zl\u00fdm filtrovan\u00edm.<\/p>\n<p>N\u00edzkopriepustn\u00e9 filtre s\u00fa z\u00e1kladn\u00fdmi komponentmi syst\u00e9mov na meranie vibr\u00e1ci\u00ed, ktor\u00e9 plnia z\u00e1kladn\u00e9 funkcie od ochrany proti vyhladzovaniu a\u017e po redukciu \u0161umu a v\u00fdber frekven\u010dn\u00e9ho rozsahu. Pochopenie ich fungovania, spr\u00e1vna vo\u013eba medznej frekvencie a pochopenie ich vplyvu na meran\u00fd sign\u00e1l s\u00fa k\u013e\u00fa\u010dov\u00e9 pre presn\u00fa anal\u00fdzu a zabr\u00e1nenie artefaktom merania pri digit\u00e1lnom z\u00edskavan\u00ed \u00fadajov.<\/p>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/sk\/glossary\/\">\u2190 Sp\u00e4\u0165 na hlavn\u00fd index<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Z\u00edskajte inform\u00e1cie o dolnopriepustn\u00fdch filtroch v anal\u00fdze vibr\u00e1ci\u00ed, n\u00e1strojoch na spracovanie sign\u00e1lu, ktor\u00e9 prep\u00fa\u0161\u0165aj\u00fa n\u00edzke frekvencie a z\u00e1rove\u0148 blokuj\u00fa vysok\u00e9 frekvencie, \u010do je nevyhnutn\u00e9 pre anti-aliasing a redukciu \u0161umu.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[109,110],"tags":[],"class_list":["post-158","glossary","type-glossary","status-publish","hentry","category-glossary","category-vibration-diagnostics"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/sk\/wp-json\/wp\/v2\/glossary\/158","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/sk\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/sk\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/sk\/wp-json\/wp\/v2\/glossary\/158\/revisions"}],"predecessor-version":[{"id":101341,"href":"https:\/\/vibromera.eu\/sk\/wp-json\/wp\/v2\/glossary\/158\/revisions\/101341"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/sk\/wp-json\/wp\/v2\/media?parent=158"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/sk\/wp-json\/wp\/v2\/categories?post=158"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/sk\/wp-json\/wp\/v2\/tags?post=158"}],"curies":[{"name":"pracovn\u00fd list","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}