{"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\/cs\/glossary\/low-pass-filter\/","title":{"rendered":"Co je to n\u00edzkopr\u016fchodov\u00fd filtr? Potla\u010den\u00ed aliasingu a vyhlazov\u00e1n\u00ed"},"content":{"rendered":"<h1>Pochopen\u00ed dolnopropustn\u00fdch filtr\u016f<\/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\/cs\/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\/cs\/product\/balanset-1\/\" title=\"P\u0159enosn\u00fd vyva\u017eova\u010d a analyz\u00e1tor vibrac\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\u00ed sada p\u0159enosn\u00e9ho vyva\u017eova\u010de a analyz\u00e1toru vibrac\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\/cs\/product-category\/devices\/\" rel=\"tag\">Za\u0159\u00edzen\u00ed<\/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\/cs\/product\/balanset-1\/\" title=\"P\u0159enosn\u00fd vyva\u017eova\u010d a analyz\u00e1tor vibrac\u00ed Balanset-1A\">P\u0159enosn\u00fd vyva\u017eova\u010d a analyz\u00e1tor vibrac\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 (pokud se 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=\"\/cs\/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=\"P\u0159idat do ko\u0161\u00edku\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"P\u0159idat do ko\u0161\u00edku\" 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=\"\/cs\/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=\"P\u0159idat do ko\u0161\u00edku: \u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d\" rel=\"nofollow\" data-success_message=\"\u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d byl p\u0159id\u00e1n do ko\u0161\u00edku\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">P\u0159idat do ko\u0161\u00edku<\/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\/cs\/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\/cs\/product\/vibration-sensor\/\" title=\"Sn\u00edma\u010d vibrac\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 vibrac\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\/cs\/product-category\/parts\/\" rel=\"tag\">D\u00edly<\/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\/cs\/product\/vibration-sensor\/\" title=\"Sn\u00edma\u010d vibrac\u00ed\">Sn\u00edma\u010d vibrac\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 (pokud se 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=\"\/cs\/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=\"P\u0159idat do ko\u0161\u00edku\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"P\u0159idat do ko\u0161\u00edku\" 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=\"\/cs\/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=\"P\u0159idat do ko\u0161\u00edku: \u201cVibration sensor\u201d\" rel=\"nofollow\" data-success_message=\"\u201cVibration sensor\u201d byl p\u0159id\u00e1n do ko\u0161\u00edku\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">P\u0159idat do ko\u0161\u00edku<\/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\/cs\/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\/cs\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optick\u00fd senzor (laserov\u00fd ot\u00e1\u010dkom\u011br)\">\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 ot\u00e1\u010dkom\u011br)\" 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\/cs\/product-category\/parts\/\" rel=\"tag\">D\u00edly<\/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\/cs\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optick\u00fd senzor (laserov\u00fd ot\u00e1\u010dkom\u011br)\">Optick\u00fd senzor (laserov\u00fd ot\u00e1\u010dkom\u011br)<\/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 (pokud se 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=\"\/cs\/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=\"P\u0159idat do ko\u0161\u00edku\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"P\u0159idat do ko\u0161\u00edku\" 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=\"\/cs\/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=\"P\u0159idat do ko\u0161\u00edku: \u201cOptical Sensor (Laser Tachometer)\u201d\" rel=\"nofollow\" data-success_message=\"\u201cOptical Sensor (Laser Tachometer)\u201d byl p\u0159id\u00e1n do ko\u0161\u00edku\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">P\u0159idat do ko\u0161\u00edku<\/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\/cs\/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\/cs\/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=\"Sada pro vyva\u017eov\u00e1n\u00ed rotor\u016f Vibromera: p\u0159epravn\u00ed kuf\u0159\u00edk, v\u00edcekan\u00e1lov\u00fd zesilova\u010d sign\u00e1lu, ru\u010dn\u00ed analyz\u00e1tor, magnetick\u00e1 z\u00e1kladna, vibra\u010dn\u00ed senzory a spir\u00e1lov\u00e9 kabely.\" 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\/cs\/product-category\/devices\/\" rel=\"tag\">Za\u0159\u00edzen\u00ed<\/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\/cs\/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 (pokud se 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=\"\/cs\/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=\"P\u0159idat do ko\u0161\u00edku\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"P\u0159idat do ko\u0161\u00edku\" 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=\"\/cs\/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=\"P\u0159idat do ko\u0161\u00edku: \u201cBalanset-4\u201d\" rel=\"nofollow\" data-success_message=\"\u201cBalanset-4\u201d byl p\u0159id\u00e1n do ko\u0161\u00edku\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">P\u0159idat do ko\u0161\u00edku<\/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\/cs\/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\/cs\/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\u00e1kladna.\" 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\/cs\/product-category\/parts\/\" rel=\"tag\">D\u00edly<\/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\/cs\/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 (pokud se 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=\"\/cs\/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=\"P\u0159idat do ko\u0161\u00edku\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"P\u0159idat do ko\u0161\u00edku\" 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=\"\/cs\/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=\"P\u0159idat do ko\u0161\u00edku: \u201cMagnetic Stand Insize-60-kgf\u201d\" rel=\"nofollow\" data-success_message=\"\u201cMagnetic Stand Insize-60-kgf\u201d byl p\u0159id\u00e1n do ko\u0161\u00edku\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">P\u0159idat do ko\u0161\u00edku<\/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\/cs\/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\/cs\/product\/reflective-tape\/\" title=\"Reflexn\u00ed 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\u00ed 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\/cs\/product-category\/parts\/\" rel=\"tag\">D\u00edly<\/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\/cs\/product\/reflective-tape\/\" title=\"Reflexn\u00ed p\u00e1ska\">Reflexn\u00ed 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 (pokud se 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=\"\/cs\/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=\"P\u0159idat do ko\u0161\u00edku\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"P\u0159idat do ko\u0161\u00edku\" 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=\"\/cs\/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=\"P\u0159idat do ko\u0161\u00edku: \u201cReflective tape\u201d\" rel=\"nofollow\" data-success_message=\"\u201cReflective tape\u201d byl p\u0159id\u00e1n do ko\u0161\u00edku\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">P\u0159idat do ko\u0161\u00edku<\/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\/cs\/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\/cs\/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 sady Balanset-1A s jednotkou rozhran\u00ed, senzory, ot\u00e1\u010dkom\u011brem a p\u0159\u00edslu\u0161enstv\u00edm\" 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\/cs\/product-category\/devices\/\" rel=\"tag\">Za\u0159\u00edzen\u00ed<\/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\/cs\/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 (pokud se 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=\"\/cs\/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=\"P\u0159idat do ko\u0161\u00edku\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"P\u0159idat do ko\u0161\u00edku\" 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=\"\/cs\/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=\"P\u0159idat do ko\u0161\u00edku: \u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d\" rel=\"nofollow\" data-success_message=\"\u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d byl p\u0159id\u00e1n do ko\u0161\u00edku\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">P\u0159idat do ko\u0161\u00edku<\/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>dolnopropustn\u00fd filtr<\/strong> (LPF) je frekven\u010dn\u011b selektivn\u00ed prvek pro zpracov\u00e1n\u00ed sign\u00e1lu, kter\u00fd umo\u017e\u0148uje <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/vibration\/\">vibrace<\/a> slo\u017eky pod zvolenou mezn\u00ed frekvenc\u00ed proch\u00e1zej\u00ed, zat\u00edmco slo\u017eky nad n\u00ed jsou tlumeny. V <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/vibration-analysis\/\">anal\u00fdza vibrac\u00ed<\/a> prov\u00e1d\u00ed t\u0159i \u010dinnosti, bez kter\u00fdch se analyz\u00e1tor neobejde: anti-aliasing (zabr\u00e1n\u011bn\u00ed v\u00fdskytu fale\u0161n\u00fdch frekvenc\u00ed v digit\u00e1ln\u00edch datech), redukci \u0161umu a izolaci n\u00edzkofrekven\u010dn\u00ed oblasti pro c\u00edlen\u00e9 studium. Je zrcadlov\u00fdm obrazem <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/high-pass-filter\/\">horn\u00ed propust<\/a>, a tyto dva prvky jsou z\u00e1kladn\u00edmi stavebn\u00edmi kameny v\u0161ech ostatn\u00edch. <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/signal-filtering\/\">filtrov\u00e1n\u00ed sign\u00e1lu<\/a> sch\u00e9ma.<\/p>\n<p>prov\u00e1d\u00ed t\u0159i \u010dinnosti, bez kter\u00fdch se analyz\u00e1tor neobejde: anti-aliasing (zabr\u00e1n\u011bn\u00ed v\u00fdskytu fale\u0161n\u00fdch frekvenc\u00ed v digit\u00e1ln\u00edch datech), redukci \u0161umu a izolaci n\u00edzkofrekven\u010dn\u00ed oblasti pro c\u00edlen\u00e9 studium. V ka\u017ed\u00e9m digitaliza\u010dn\u00edm syst\u00e9mu je jeden z nich um\u00edst\u011bn p\u0159ed p\u0159evodn\u00edkem jako povinn\u00fd anti-aliasov\u00fd filtr a stejn\u00e1 funkce se nab\u00edz\u00ed i jako n\u00e1stroj anal\u00fdzy pro vyhlazen\u00ed dat, odstran\u011bn\u00ed vysokofrekven\u010dn\u00edho \u0161umu a soust\u0159ed\u011bn\u00ed se na n\u00edzkofrekven\u010dn\u00ed jevy. Pochopen\u00ed toho, jak utv\u00e1\u0159ej\u00ed sign\u00e1l, je proto nezbytn\u00e9 pro d\u016fv\u011bru v jak\u00fdkoli <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/spectrum\/\">spektrum<\/a> si p\u0159e\u010dtete.<\/p>\n<h2>1. Vlastnosti filtru<\/h2>\n<h3>Mezn\u00ed frekvence (f<sub>c<\/sub>)<\/h3>\n<ul>\n<li><strong>Definice:<\/strong> frekvence, p\u0159i kter\u00e9 klesla odezva filtru na &minus;3 dB, tj. 70,7% amplitudy propustn\u00e9ho p\u00e1sma.<\/li>\n<li><strong>Pod f<sub>c<\/sub> (propustn\u00e9 p\u00e1smo):<\/strong> frekvence proch\u00e1z\u00ed s minim\u00e1ln\u00edm \u00fatlumem.<\/li>\n<li><strong>Nad f<sub>c<\/sub> (z\u00e1dr\u017en\u00e9 p\u00e1smo):<\/strong> frekvence se postupn\u011b zeslabuj\u00ed.<\/li>\n<li><strong>P\u0159echodov\u00e9 p\u00e1smo:<\/strong> oblast kolem f<sub>c<\/sub> kde se \u00fatlum postupn\u011b zvy\u0161uje.<\/li>\n<\/ul>\n<h3>Po\u0159ad\u00ed filtr\u016f a strmost charakteristiky<\/h3>\n<p>\u0158\u00e1d filtru ur\u010duje, jak ost\u0159e p\u0159ech\u00e1z\u00ed z propustn\u00e9ho p\u00e1sma do z\u00e1dr\u017en\u00e9ho p\u00e1sma:<\/p>\n<ul>\n<li><strong>1. \u0159\u00e1d:<\/strong> 6 dB\/okt\u00e1vu (20 dB\/dek\u00e1du) - postupn\u00fd roll-off.<\/li>\n<li><strong>2. \u0159\u00e1d:<\/strong> 12 dB\/okt\u00e1vu (40 dB\/dek\u00e1du) - m\u00edrn\u00fd.<\/li>\n<li><strong>4. \u0159\u00e1d:<\/strong> 24 dB\/okt\u00e1vu (80 dB\/dek\u00e1du) \u2014 strm\u00fd.<\/li>\n<li><strong>8. \u0159\u00e1d:<\/strong> 48 dB\/okt\u00e1vu (160 dB\/dek\u00e1du) \u2014 velmi strm\u00fd.<\/li>\n<li><strong>Vy\u0161\u0161\u00ed \u0159\u00e1d:<\/strong> ost\u0159ej\u0161\u00edho p\u0159echodu a lep\u0161\u00edho potla\u010den\u00ed v z\u00e1dr\u017en\u00e9m p\u00e1smu za cenu v\u011bt\u0161\u00edho f\u00e1zov\u00e9ho posunu a del\u0161\u00ed p\u0159echodov\u00e9 odezvy.<\/li>\n<\/ul>\n<h3>Typy odezvy filtr\u016f<\/h3>\n<p>Stejn\u00e9 mezn\u00ed kmito\u010dty a \u0159\u00e1dy lze realizovat pomoc\u00ed r\u016fzn\u00fdch matematick\u00fdch tvar\u016f, p\u0159i\u010dem\u017e ka\u017ed\u00fd nab\u00edz\u00ed jin\u00fd kompromis mezi plochost\u00ed, ostrost\u00ed p\u0159echodu a f\u00e1zov\u00fdm chov\u00e1n\u00edm:<\/p>\n<ul>\n<li><strong>Butterworth:<\/strong> maxim\u00e1ln\u011b ploch\u00e9 propustn\u00e9 p\u00e1smo bez zvln\u011bn\u00ed.<\/li>\n<li><strong>\u010ceby\u0161ev:<\/strong> ost\u0159ej\u0161\u00ed mezn\u00ed hranici, kter\u00e1 akceptuje zvln\u011bn\u00ed v propustn\u00e9m p\u00e1smu.<\/li>\n<li><strong>Bessel:<\/strong> line\u00e1rn\u00ed f\u00e1ze, co\u017e znamen\u00e1 minim\u00e1ln\u00ed zkreslen\u00ed tvaru vlny - spr\u00e1vn\u00e1 volba, pokud je tvar <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/time-waveform\/\">\u010dasov\u00fd pr\u016fb\u011bh<\/a> z\u00e1le\u017e\u00ed.<\/li>\n<li><strong>Eliptick\u00fd:<\/strong> co nejost\u0159ej\u0161\u00ed p\u0159echod s vln\u011bn\u00edm v propustn\u00e9m i z\u00e1dr\u017en\u00e9m p\u00e1smu.<\/li>\n<\/ul>\n<h2>2. Prim\u00e1rn\u00ed aplikace<\/h2>\n<h3>Anti-Aliasing (nejd\u016fle\u017eit\u011bj\u0161\u00ed)<\/h3>\n<p>Tuto funkci nem\u016f\u017ee \u017e\u00e1dn\u00fd digitaliz\u00e1tor vynechat. Bez n\u00ed se frekvence nad Nyquistovou mez\u00ed skl\u00e1daj\u00ed zp\u011bt a objevuj\u00ed se jako fale\u0161n\u00e9 \u0161pi\u010dky - jev <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/aliasing\/\">aliasov\u00e1n\u00ed<\/a>.<\/p>\n<ul>\n<li><strong>\u00da\u010del:<\/strong> blokovat frekvence nad Nyquistovou frekvenc\u00ed (polovina vzorkovac\u00ed frekvence).<\/li>\n<li><strong>Po\u017eadavek:<\/strong> mus\u00ed pracovat <em>p\u0159ed<\/em> analogov\u011b-digit\u00e1ln\u00ed p\u0159evod \u2014 software nem\u016f\u017ee odstranit alias dodate\u010dn\u011b.<\/li>\n<li><strong>Typick\u00e1 mezn\u00ed hodnota:<\/strong> 0,4&ndash;0,8 &times; (vzorkovac\u00ed frekvence \/ 2).<\/li>\n<li><strong>Strmost:<\/strong> Obvykle 8. \u0159\u00e1du nebo vy\u0161\u0161\u00edho pro dobr\u00e9 potla\u010den\u00ed aliasingu<\/li>\n<li><strong>D\u016fsledek zanedb\u00e1n\u00ed:<\/strong> nedostate\u010dn\u00e9 antialisingov\u00e1n\u00ed vytv\u00e1\u0159\u00ed fale\u0161n\u00e9 spektr\u00e1ln\u00ed \u0161pi\u010dky, kter\u00e9 napodobuj\u00ed skute\u010dn\u00e9 poruchy.<\/li>\n<\/ul>\n<h3>Sn\u00ed\u017een\u00ed hluku<\/h3>\n<ul>\n<li>Odstra\u0148uje vysokofrekven\u010dn\u00ed elektrick\u00fd \u0161um.<\/li>\n<li>Odfiltruje \u0161um na kabelu sn\u00edma\u010de.<\/li>\n<li>Vyhlazuje data pro <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/trending\/\">sledov\u00e1n\u00ed trend\u016f<\/a>.<\/li>\n<li>Zlep\u0161uje pom\u011br sign\u00e1lu k \u0161umu u n\u00edzkofrekven\u010dn\u00edch slo\u017eek, kter\u00e9 jsou p\u0159edm\u011btem z\u00e1jmu.<\/li>\n<\/ul>\n<h3>Omezen\u00ed frekven\u010dn\u00edho rozsahu<\/h3>\n<ul>\n<li>Zam\u011b\u0159uje anal\u00fdzu na z\u00e1jmov\u00fd frekven\u010dn\u00ed rozsah.<\/li>\n<li>P\u0159\u00edklad: anal\u00fdza 0&ndash;100 Hz pro n\u00edzkoot\u00e1\u010dkov\u00e9 stroje.<\/li>\n<li>Odstra\u0148uje irelevantn\u00ed vysokofrekven\u010dn\u00ed obsah.<\/li>\n<li>Sni\u017euje n\u00e1roky na zpracov\u00e1n\u00ed a ukl\u00e1d\u00e1n\u00ed dat.<\/li>\n<\/ul>\n<h3>P\u0159\u00edprava integrace<\/h3>\n<ul>\n<li>Pou\u017eito p\u0159ed <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/integration\/\">integrace<\/a> <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/acceleration\/\">zrychlen\u00ed<\/a> na <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/velocity\/\">rychlost<\/a>.<\/li>\n<li>Odstra\u0148uje velmi vysok\u00e9 frekvence - \u0161um, kter\u00fd by jinak integrace zes\u00edlila.<\/li>\n<li>Typick\u00e1 mezn\u00ed hodnota: 1000&ndash;5000 Hz v z\u00e1vislosti na aplikaci.<\/li>\n<li>Zabra\u0148uje zes\u00edlen\u00ed \u0161umu, kter\u00e9 by zp\u016fsobila nekontrolovan\u00e1 integrace.<\/li>\n<\/ul>\n<h2>3. V\u00fdb\u011br mezn\u00ed frekvence<\/h2>\n<h3>Aplikace proti aliasingu<\/h3>\n<ul>\n<li><strong>Pravidlo:<\/strong> f<sub>c<\/sub> = 0,4 &times; vzorkovac\u00ed frekvence (konzervativn\u00ed) a\u017e 0,8 &times; vzorkovac\u00ed frekvence (agresivn\u00ed).<\/li>\n<li><strong>P\u0159\u00edklad:<\/strong> p\u0159i vzorkovac\u00ed frekvenci 10 kHz je f<sub>c<\/sub> = 4000 Hz.<\/li>\n<li><strong>Krit\u00e9rium:<\/strong> \u00fatlum v p\u00e1smu zastaven\u00ed v\u011bt\u0161\u00ed ne\u017e 60 dB na Nyquistov\u011b frekvenci.<\/li>\n<\/ul>\n<h3>Analytick\u00e9 aplikace<\/h3>\n<ul>\n<li>Nastavte f<sub>c<\/sub> t\u011bsn\u011b nad nejvy\u0161\u0161\u00ed frekvenc\u00ed z\u00e1jmu.<\/li>\n<li>Pro n\u00edzkofrekven\u010dn\u00ed anal\u00fdzu (0&ndash;200 Hz): f<sub>c<\/sub> = 200&ndash;300 Hz.<\/li>\n<li>Pro <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/unbalance\/\">nevyv\u00e1\u017eenost<\/a> pouze (slo\u017eka 1&times;): f<sub>c<\/sub> = 5&ndash;10&times; <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/running-speed\/\">provozn\u00ed ot\u00e1\u010dky<\/a>.<\/li>\n<li>V\u017edy ponechte rezervu pro p\u0159echodov\u00e9 p\u00e1smo filtru.<\/li>\n<\/ul>\n<h3>Sn\u00ed\u017een\u00ed hluku<\/h3>\n<ul>\n<li>Ur\u010dete frekven\u010dn\u00ed rozsah \u0161umu ze spektra.<\/li>\n<li>Nastavte f<sub>c<\/sub> propou\u0161t\u011bt sign\u00e1ln\u00ed frekvence a odm\u00edtat \u0161umov\u00e9 frekvence.<\/li>\n<li>Najd\u011bte rovnov\u00e1hu mezi odstran\u011bn\u00edm \u0161umu a zachov\u00e1n\u00edm sign\u00e1lu.<\/li>\n<\/ul>\n<h2>4. Vliv na m\u011b\u0159en\u00ed<\/h2>\n<h3>Amplitudov\u00e1 dom\u00e9na<\/h3>\n<ul>\n<li><strong>Propustn\u00e9 p\u00e1smo:<\/strong> minim\u00e1ln\u00ed zm\u011bna amplitudy, obvykle men\u0161\u00ed ne\u017e 0,5 dB.<\/li>\n<li><strong>Nepropustn\u00e9 p\u00e1smo:<\/strong> siln\u00fd \u00fatlum, 40&ndash;80 dB nebo v\u00edce.<\/li>\n<li><strong>Celkov\u00e1 \u00farove\u0148:<\/strong> filtr sni\u017euje celkov\u00fd \u00fadaj o vibrac\u00edch, pokud byl p\u0159\u00edtomen v\u00fdznamn\u00fd vysokofrekven\u010dn\u00ed obsah.<\/li>\n<\/ul>\n<h3>\u010casov\u00e1 dom\u00e9na<\/h3>\n<ul>\n<li>Pr\u016fb\u011bh je vyhlazen, proto\u017ee jsou odstran\u011bny vysokofrekven\u010dn\u00ed odchylky.<\/li>\n<li>Ostr\u00e9 hrany a hroty jsou zaoblen\u00e9.<\/li>\n<li>P\u0159echodov\u00e1 odezva (zvon\u011bn\u00ed filtru) m\u016f\u017ee ovlivnit tvar vlny<\/li>\n<li>F\u00e1zov\u00e9 zkreslen\u00ed m\u016f\u017ee zm\u011bnit zp\u016fsob interpretace pr\u016fb\u011bhu.<\/li>\n<\/ul>\n<h3>Frekven\u010dn\u00ed dom\u00e9na<\/h3>\n<ul>\n<li>Spektrum vykazuje sn\u00ed\u017een\u00e9 amplitudy nad mezn\u00ed hodnotou.<\/li>\n<li>Vysokofrekven\u010dn\u00ed \u0161pi\u010dky jsou potla\u010deny nebo eliminov\u00e1ny.<\/li>\n<li>Pokud se jednalo o vysokofrekven\u010dn\u00ed \u0161um, je hladina \u0161umu sn\u00ed\u017eena.<\/li>\n<\/ul>\n<h2>5. \u010cast\u00e9 probl\u00e9my a jejich \u0159e\u0161en\u00ed<\/h2>\n<h3>Nedostate\u010dn\u00e1 ochrana proti aliasingu<\/h3>\n<ul>\n<li><strong>P\u0159\u00edznak:<\/strong> fale\u0161n\u00e9 n\u00edzkofrekven\u010dn\u00ed \u0161pi\u010dky ve spektru.<\/li>\n<li><strong>P\u0159\u00ed\u010dina:<\/strong> vysok\u00e9 frekvence se skl\u00e1daj\u00ed zp\u011bt pod Nyquistovu frekvenci.<\/li>\n<li><strong>\u0158e\u0161en\u00ed:<\/strong> pou\u017eijte strm\u011bj\u0161\u00ed filtr, zvy\u0161te vzorkovac\u00ed frekvenci a ov\u011b\u0159te, zda filtr skute\u010dn\u011b funguje.<\/li>\n<\/ul>\n<h3>P\u0159\u00edli\u0161 n\u00edzk\u00e1 mezn\u00ed hodnota<\/h3>\n<ul>\n<li><strong>P\u0159\u00edznak:<\/strong> platn\u00e9 vysokofrekven\u010dn\u00ed sign\u00e1ly jsou potla\u010deny.<\/li>\n<li><strong>P\u0159\u00edklad:<\/strong> <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/bearing-fault-frequencies\/\">frekvence poruch lo\u017eisek<\/a> sn\u00ed\u017eena p\u0159\u00edli\u0161 agresivn\u00edm LPF.<\/li>\n<li><strong>\u0158e\u0161en\u00ed:<\/strong> zv\u00fd\u0161it mezn\u00ed frekvenci nebo pou\u017e\u00edt m\u00edrn\u011bj\u0161\u00ed sklon filtru.<\/li>\n<\/ul>\n<h3>Artefakty filtru<\/h3>\n<ul>\n<li><strong>Zvon\u011bn\u00ed:<\/strong> oscilace v \u010dasov\u00e9 oblasti zp\u016fsoben\u00e9 ostr\u00fdm mezn\u00edm kmito\u010dtem filtru.<\/li>\n<li><strong>F\u00e1zov\u00e9 zkreslen\u00ed:<\/strong> zm\u011bny tvaru vlny zp\u016fsoben\u00e9 f\u00e1zov\u00fdmi posuny.<\/li>\n<li><strong>\u0158e\u0161en\u00ed:<\/strong> Bessel\u016fv filtr pou\u017e\u00edvejte v kritick\u00fdch aplikac\u00edch, kde z\u00e1le\u017e\u00ed na f\u00e1zov\u00e9 linearit\u011b.<\/li>\n<\/ul>\n<h2>6. Dopl\u0148kov\u00e9 filtry<\/h2>\n<h3>Doln\u00ed propust vs. horn\u00ed propust<\/h3>\n<ul>\n<li><strong>Doln\u00ed propust:<\/strong> propou\u0161t\u00ed n\u00edzk\u00e9 frekvence, blokuje vysok\u00e9.<\/li>\n<li><strong>Horn\u00ed propust:<\/strong> propou\u0161t\u00ed vysok\u00e9 frekvence, blokuje n\u00edzk\u00e9.<\/li>\n<li><strong>Komplement\u00e1rn\u00ed:<\/strong> spole\u010dn\u011b tvo\u0159\u00ed p\u00e1smovou propust.<\/li>\n<\/ul>\n<h3>P\u00e1smov\u00fd filtr<\/h3>\n<ul>\n<li>Kombinace stup\u0148\u016f horn\u00ed a doln\u00ed propusti.<\/li>\n<li>V\u00fdsledn\u00fd <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/band-pass-filter\/\">p\u00e1smov\u00e1 propust<\/a> propou\u0161t\u00ed pouze frekvence v ur\u010dit\u00e9m p\u00e1smu.<\/li>\n<li>Odm\u00edt\u00e1 obsah pod i nad t\u00edmto p\u00e1smem.<\/li>\n<li>Toto je p\u0159edn\u00ed \u010d\u00e1st <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/envelope-analysis\/\">obalov\u00e1 anal\u00fdza<\/a>, kde je p\u0159ed demodulac\u00ed izolov\u00e1no p\u00e1smo kolem struktur\u00e1ln\u00ed rezonance lo\u017eiska.<\/li>\n<\/ul>\n<h2>7. Kam pat\u0159\u00ed dolnopropustn\u00fd filtr v ter\u00e9nu<\/h2>\n<p>U digit\u00e1ln\u00edho ter\u00e9nn\u00edho p\u0159\u00edstroje je dolnopropustn\u00fd filtr v\u011bt\u0161inou neviditeln\u00fd - svou pr\u00e1ci proti aliasingu prov\u00e1d\u00ed v tichosti uvnit\u0159 akvizi\u010dn\u00edho \u0159et\u011bzce - a p\u0159esto je z\u00e1kladem d\u016fv\u011bryhodnosti ka\u017ed\u00e9ho ode\u010dtu. P\u0159enosn\u00fd dvoukan\u00e1lov\u00fd analyz\u00e1tor, jako je nap\u0159. <a href=\"https:\/\/vibromera.eu\/cs\/produkt\/balanset-1\/\">Balanset-1A<\/a> omezuje p\u00e1smo <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/accelerometer\/\">akcelerometr<\/a> kan\u00e1l p\u0159ed vzorkov\u00e1n\u00edm, tak\u017ee <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/fft\/\">Rychl\u00e1 Fourierova transformace (FFT)<\/a> vypo\u010d\u00edt\u00e1v\u00e1 pro \u00fa\u010dely vyva\u017eov\u00e1n\u00ed a diagnostiky, je v cel\u00e9m sv\u00e9m pracovn\u00edm rozsahu bez zkreslen\u00fdch \u0161pi\u010dek. S \u010dist\u00fdm spektrem dok\u00e1\u017ee analyz\u00e1tor rozli\u0161it 1&times; <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/phase\/\">amplituda a f\u00e1ze<\/a> pot\u0159ebn\u00fdch k vyv\u00e1\u017een\u00ed rotoru a nahl\u00e1\u0161en\u00ed skute\u010dn\u00e9 hodnoty <a href=\"https:\/\/vibromera.eu\/cs\/glossary\/residual-unbalance\/\">zbytkov\u00e1 nevyv\u00e1\u017eenost<\/a>, a ne honit se za p\u0159\u00edzra\u010dnou frekvenc\u00ed vytvo\u0159enou \u0161patn\u00fdm filtrov\u00e1n\u00edm.<\/p>\n<p>Dolnopropustn\u00e9 filtry jsou z\u00e1kladn\u00edmi sou\u010d\u00e1stmi syst\u00e9m\u016f pro m\u011b\u0159en\u00ed vibrac\u00ed a pln\u00ed z\u00e1kladn\u00ed funkce od ochrany proti aliasingu a\u017e po redukci \u0161umu a v\u00fdb\u011br frekven\u010dn\u00edho rozsahu. Pochopen\u00ed jejich fungov\u00e1n\u00ed, spr\u00e1vn\u00e1 volba mezn\u00ed frekvence a pochopen\u00ed jejich vlivu na m\u011b\u0159en\u00fd sign\u00e1l jsou z\u00e1sadn\u00ed pro p\u0159esnou anal\u00fdzu a pro zamezen\u00ed artefakt\u016f p\u0159i m\u011b\u0159en\u00ed p\u0159i digit\u00e1ln\u00edm sb\u011bru dat.<\/p>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/cs\/glossary\/\">\u2190 Zp\u011bt na hlavn\u00ed index<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Seznamte se s dolnopropustn\u00fdmi filtry v anal\u00fdze vibrac\u00ed, n\u00e1stroji pro zpracov\u00e1n\u00ed sign\u00e1lu, kter\u00e9 propou\u0161t\u011bj\u00ed n\u00edzk\u00e9 frekvence a z\u00e1rove\u0148 blokuj\u00ed vysok\u00e9 frekvence, co\u017e je nezbytn\u00e9 pro anti-aliasing a redukci \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\/cs\/wp-json\/wp\/v2\/glossary\/158","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/cs\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/cs\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/cs\/wp-json\/wp\/v2\/glossary\/158\/revisions"}],"predecessor-version":[{"id":101341,"href":"https:\/\/vibromera.eu\/cs\/wp-json\/wp\/v2\/glossary\/158\/revisions\/101341"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/cs\/wp-json\/wp\/v2\/media?parent=158"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/cs\/wp-json\/wp\/v2\/categories?post=158"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/cs\/wp-json\/wp\/v2\/tags?post=158"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}