{"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\/bn\/glossary\/low-pass-filter\/","title":{"rendered":"What is a Low-Pass Filter? Anti-Aliasing and Smoothing"},"content":{"rendered":"<h1>Understanding Low-Pass Filters<\/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\/bn\/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\/bn\/product\/balanset-1\/\" title=\"\u09aa\u09cb\u09b0\u09cd\u099f\u09c7\u09ac\u09b2 \u09ac\u09cd\u09af\u09be\u09b2\u09c7\u09a8\u09cd\u09b8\u09be\u09b0 \u098f\u09ac\u0982 \u0995\u09ae\u09cd\u09aa\u09a8 \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u0995 \u09ac\u09cd\u09af\u09be\u09b2\u09be\u09a8\u09b8\u09c7\u099f-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 \u09b8\u09ae\u09cd\u09aa\u09c2\u09b0\u09cd\u09a3 \u0995\u09bf\u099f \u09aa\u09cb\u09b0\u09cd\u099f\u09c7\u09ac\u09b2 \u09ac\u09cd\u09af\u09be\u09b2\u09c7\u09a8\u09cd\u09b8\u09be\u09b0 \u098f\u09ac\u0982 \u0995\u09ae\u09cd\u09aa\u09a8 \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u0995\" 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\/bn\/product-category\/devices\/\" rel=\"tag\">\u09a1\u09bf\u09ad\u09be\u0987\u09b8<\/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\/bn\/product\/balanset-1\/\" title=\"\u09aa\u09cb\u09b0\u09cd\u099f\u09c7\u09ac\u09b2 \u09ac\u09cd\u09af\u09be\u09b2\u09c7\u09a8\u09cd\u09b8\u09be\u09b0 \u098f\u09ac\u0982 \u0995\u09ae\u09cd\u09aa\u09a8 \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u0995 \u09ac\u09cd\u09af\u09be\u09b2\u09be\u09a8\u09b8\u09c7\u099f-1A\">\u09aa\u09cb\u09b0\u09cd\u099f\u09c7\u09ac\u09b2 \u09ac\u09cd\u09af\u09be\u09b2\u09c7\u09a8\u09cd\u09b8\u09be\u09b0 \u098f\u09ac\u0982 \u0995\u09ae\u09cd\u09aa\u09a8 \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u0995 \u09ac\u09cd\u09af\u09be\u09b2\u09be\u09a8\u09b8\u09c7\u099f-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> + \u09ad\u09cd\u09af\u09be\u099f (\u09af\u09a6\u09bf \u09aa\u09cd\u09b0\u09af\u09cb\u099c\u09cd\u09af \u09b9\u09af\u09bc)<\/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=\"\/bn\/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=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  \" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  \" 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=\"\/bn\/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=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8: \u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d\" rel=\"nofollow\" data-success_message=\"\u0986\u09aa\u09a8\u09be\u09b0 \u0995\u09be\u09b0\u09cd\u099f\u09c7 \u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d \u09af\u09cb\u0997 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u09c7\u099b\u09c7\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  <\/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\/bn\/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\/bn\/product\/vibration-sensor\/\" title=\"\u0995\u09ae\u09cd\u09aa\u09a8 \u09b8\u09c7\u09a8\u09cd\u09b8\u09b0\">\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 \u0995\u09ae\u09cd\u09aa\u09a8 \u09b8\u09c7\u09a8\u09cd\u09b8\u09b0 \u0995\u09cd\u09b2\u09cb\u099c-\u0986\u09aa\" 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\/bn\/product-category\/parts\/\" rel=\"tag\">\u0985\u0982\u09b6<\/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\/bn\/product\/vibration-sensor\/\" title=\"\u0995\u09ae\u09cd\u09aa\u09a8 \u09b8\u09c7\u09a8\u09cd\u09b8\u09b0\">\u0995\u09ae\u09cd\u09aa\u09a8 \u09b8\u09c7\u09a8\u09cd\u09b8\u09b0<\/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> + \u09ad\u09cd\u09af\u09be\u099f (\u09af\u09a6\u09bf \u09aa\u09cd\u09b0\u09af\u09cb\u099c\u09cd\u09af \u09b9\u09af\u09bc)<\/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=\"\/bn\/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=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  \" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  \" 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=\"\/bn\/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=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8: \u201cVibration sensor\u201d\" rel=\"nofollow\" data-success_message=\"\u0986\u09aa\u09a8\u09be\u09b0 \u0995\u09be\u09b0\u09cd\u099f\u09c7 \u201cVibration sensor\u201d \u09af\u09cb\u0997 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u09c7\u099b\u09c7\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  <\/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\/bn\/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\/bn\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"\u0985\u09aa\u099f\u09bf\u0995\u09cd\u09af\u09be\u09b2 \u09b8\u09c7\u09a8\u09cd\u09b8\u09b0 (\u09b2\u09c7\u099c\u09be\u09b0 \u099f\u09cd\u09af\u09be\u0995\u09cb\u09ae\u09bf\u099f\u09be\u09b0)\">\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=\"\u0985\u09aa\u099f\u09bf\u0995\u09cd\u09af\u09be\u09b2 \u09b8\u09c7\u09a8\u09cd\u09b8\u09b0 (\u09b2\u09c7\u099c\u09be\u09b0 \u099f\u09cd\u09af\u09be\u0995\u09cb\u09ae\u09bf\u099f\u09be\u09b0)\" 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\/bn\/product-category\/parts\/\" rel=\"tag\">\u0985\u0982\u09b6<\/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\/bn\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"\u0985\u09aa\u099f\u09bf\u0995\u09cd\u09af\u09be\u09b2 \u09b8\u09c7\u09a8\u09cd\u09b8\u09b0 (\u09b2\u09c7\u099c\u09be\u09b0 \u099f\u09cd\u09af\u09be\u0995\u09cb\u09ae\u09bf\u099f\u09be\u09b0)\">\u0985\u09aa\u099f\u09bf\u0995\u09cd\u09af\u09be\u09b2 \u09b8\u09c7\u09a8\u09cd\u09b8\u09b0 (\u09b2\u09c7\u099c\u09be\u09b0 \u099f\u09cd\u09af\u09be\u0995\u09cb\u09ae\u09bf\u099f\u09be\u09b0)<\/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> + \u09ad\u09cd\u09af\u09be\u099f (\u09af\u09a6\u09bf \u09aa\u09cd\u09b0\u09af\u09cb\u099c\u09cd\u09af \u09b9\u09af\u09bc)<\/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=\"\/bn\/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=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  \" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  \" 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=\"\/bn\/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=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8: \u201cOptical Sensor (Laser Tachometer)\u201d\" rel=\"nofollow\" data-success_message=\"\u0986\u09aa\u09a8\u09be\u09b0 \u0995\u09be\u09b0\u09cd\u099f\u09c7 \u201cOptical Sensor (Laser Tachometer)\u201d \u09af\u09cb\u0997 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u09c7\u099b\u09c7\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  <\/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\/bn\/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\/bn\/product\/balanset-4\/\" title=\"\u09ac\u09cd\u09af\u09be\u09b2\u09be\u09a8\u09b8\u09c7\u099f-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 \u09b0\u09cb\u099f\u09b0 \u09ad\u09be\u09b0\u09b8\u09be\u09ae\u09cd\u09af \u0995\u09bf\u099f: \u09ac\u09b9\u09a8 \u0995\u09c7\u09b8, \u09ae\u09be\u09b2\u09cd\u099f\u09bf-\u099a\u09cd\u09af\u09be\u09a8\u09c7\u09b2 \u09b8\u09bf\u0997\u09a8\u09cd\u09af\u09be\u09b2 \u0995\u09a8\u09cd\u09a1\u09bf\u09b6\u09a8\u09be\u09b0, \u09b9\u09cd\u09af\u09be\u09a8\u09cd\u09a1\u09b9\u09c7\u09b2\u09cd\u09a1 \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u0995, \u099a\u09cc\u09ae\u09cd\u09ac\u0995 \u09ad\u09bf\u09a4\u09cd\u09a4\u09bf, \u0995\u09ae\u09cd\u09aa\u09a8 \u09b8\u09c7\u09a8\u09cd\u09b8\u09b0, \u098f\u09ac\u0982 \u0995\u09c1\u09a3\u09cd\u09a1\u09b2\u09c0 \u09a4\u09be\u09b0\u0964\" 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\/bn\/product-category\/devices\/\" rel=\"tag\">\u09a1\u09bf\u09ad\u09be\u0987\u09b8<\/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\/bn\/product\/balanset-4\/\" title=\"\u09ac\u09cd\u09af\u09be\u09b2\u09be\u09a8\u09b8\u09c7\u099f-4\">\u09ac\u09cd\u09af\u09be\u09b2\u09be\u09a8\u09b8\u09c7\u099f-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> + \u09ad\u09cd\u09af\u09be\u099f (\u09af\u09a6\u09bf \u09aa\u09cd\u09b0\u09af\u09cb\u099c\u09cd\u09af \u09b9\u09af\u09bc)<\/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=\"\/bn\/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=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  \" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  \" 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=\"\/bn\/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=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8: \u201cBalanset-4\u201d\" rel=\"nofollow\" data-success_message=\"\u0986\u09aa\u09a8\u09be\u09b0 \u0995\u09be\u09b0\u09cd\u099f\u09c7 \u201cBalanset-4\u201d \u09af\u09cb\u0997 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u09c7\u099b\u09c7\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  <\/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\/bn\/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\/bn\/product\/magnet-stand\/\" title=\"\u09ae\u09cd\u09af\u09be\u0997\u09a8\u09c7\u099f\u09bf\u0995 \u09b8\u09cd\u099f\u09cd\u09af\u09be\u09a8\u09cd\u09a1 \u0987\u09a8\u09b8\u09be\u0987\u099c-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=\"\u099a\u09c1\u09ae\u09cd\u09ac\u0995 \u09ac\u09c7\u09b8\u0964\" 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\/bn\/product-category\/parts\/\" rel=\"tag\">\u0985\u0982\u09b6<\/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\/bn\/product\/magnet-stand\/\" title=\"\u09ae\u09cd\u09af\u09be\u0997\u09a8\u09c7\u099f\u09bf\u0995 \u09b8\u09cd\u099f\u09cd\u09af\u09be\u09a8\u09cd\u09a1 \u0987\u09a8\u09b8\u09be\u0987\u099c-60-kgf\">\u09ae\u09cd\u09af\u09be\u0997\u09a8\u09c7\u099f\u09bf\u0995 \u09b8\u09cd\u099f\u09cd\u09af\u09be\u09a8\u09cd\u09a1 \u0987\u09a8\u09b8\u09be\u0987\u099c-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> + \u09ad\u09cd\u09af\u09be\u099f (\u09af\u09a6\u09bf \u09aa\u09cd\u09b0\u09af\u09cb\u099c\u09cd\u09af \u09b9\u09af\u09bc)<\/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=\"\/bn\/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=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  \" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  \" 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=\"\/bn\/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=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8: \u201cMagnetic Stand Insize-60-kgf\u201d\" rel=\"nofollow\" data-success_message=\"\u0986\u09aa\u09a8\u09be\u09b0 \u0995\u09be\u09b0\u09cd\u099f\u09c7 \u201cMagnetic Stand Insize-60-kgf\u201d \u09af\u09cb\u0997 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u09c7\u099b\u09c7\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  <\/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\/bn\/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\/bn\/product\/reflective-tape\/\" title=\"\u09aa\u09cd\u09b0\u09a4\u09bf\u09ab\u09b2\u09bf\u09a4 \u099f\u09c7\u09aa\">\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=\"\u09aa\u09cd\u09b0\u09a4\u09bf\u09ab\u09b2\u09bf\u09a4 \u099f\u09c7\u09aa\" 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\/bn\/product-category\/parts\/\" rel=\"tag\">\u0985\u0982\u09b6<\/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\/bn\/product\/reflective-tape\/\" title=\"\u09aa\u09cd\u09b0\u09a4\u09bf\u09ab\u09b2\u09bf\u09a4 \u099f\u09c7\u09aa\">\u09aa\u09cd\u09b0\u09a4\u09bf\u09ab\u09b2\u09bf\u09a4 \u099f\u09c7\u09aa<\/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> + \u09ad\u09cd\u09af\u09be\u099f (\u09af\u09a6\u09bf \u09aa\u09cd\u09b0\u09af\u09cb\u099c\u09cd\u09af \u09b9\u09af\u09bc)<\/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=\"\/bn\/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=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  \" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  \" 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=\"\/bn\/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=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8: \u201cReflective tape\u201d\" rel=\"nofollow\" 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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\/bn\/product-category\/devices\/\" rel=\"tag\">\u09a1\u09bf\u09ad\u09be\u0987\u09b8<\/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\/bn\/product\/dynamic-balancer-balanset-1a\/\" title=\"\u09a1\u09be\u09af\u09bc\u09a8\u09be\u09ae\u09bf\u0995 \u09ac\u09cd\u09af\u09be\u09b2\u09c7\u09a8\u09cd\u09b8\u09be\u09b0 &quot;\u09ac\u09cd\u09af\u09be\u09b2\u09be\u09a8\u09b8\u09c7\u099f-1A&quot; OEM\">\u09a1\u09be\u09af\u09bc\u09a8\u09be\u09ae\u09bf\u0995 \u09ac\u09cd\u09af\u09be\u09b2\u09c7\u09a8\u09cd\u09b8\u09be\u09b0 &quot;\u09ac\u09cd\u09af\u09be\u09b2\u09be\u09a8\u09b8\u09c7\u099f-1A&quot; 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> + \u09ad\u09cd\u09af\u09be\u099f (\u09af\u09a6\u09bf \u09aa\u09cd\u09b0\u09af\u09cb\u099c\u09cd\u09af \u09b9\u09af\u09bc)<\/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=\"\/bn\/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=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  \" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  \" 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=\"\/bn\/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=\"\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8: \u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d\" rel=\"nofollow\" data-success_message=\"\u0986\u09aa\u09a8\u09be\u09b0 \u0995\u09be\u09b0\u09cd\u099f\u09c7 \u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d \u09af\u09cb\u0997 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u09c7\u099b\u09c7\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">\u0995\u09be\u09b0\u09cd\u099f\u09c7 \u09af\u09cb\u0997 \u0995\u09b0\u09c1\u09a8  <\/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>\u09b2\u09cb-\u09aa\u09be\u09b8 \u09ab\u09bf\u09b2\u09cd\u099f\u09be\u09b0<\/strong> (LPF) is a frequency-selective signal-processing element that lets <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/vibration\/\">vibration<\/a> components below a chosen cutoff frequency pass through while attenuating components above it. In <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/vibration-analysis\/\">vibration analysis<\/a> it performs three jobs that an analyser cannot do without: anti-aliasing (stopping false frequencies from appearing in digital data), noise reduction, and isolating the low-frequency region for focused study. It is the mirror image of the <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/high-pass-filter\/\">\u0989\u099a\u09cd\u099a-\u09aa\u09be\u09b8 \u09ab\u09bf\u09b2\u09cd\u099f\u09be\u09b0<\/a>, and the two are the building blocks of every other <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/signal-filtering\/\">\u09b8\u0982\u0995\u09c7\u09a4 \u09aa\u09b0\u09bf\u09b8\u09cd\u09b0\u09be\u09ac\u09a3<\/a> scheme.<\/p>\n<p>Low-pass filters are arguably the most widely used filters in vibration instrumentation. One sits in front of the converter in every digitising system as a mandatory anti-aliasing filter, and the same function is offered as an analysis tool for smoothing data, stripping high-frequency noise, and concentrating on low-frequency phenomena. Understanding how they shape a signal is therefore essential to trusting any <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/spectrum\/\">spectrum<\/a> you read.<\/p>\n<h2>\u09e7. \u09ab\u09bf\u09b2\u09cd\u099f\u09be\u09b0 \u09ac\u09c8\u09b6\u09bf\u09b7\u09cd\u099f\u09cd\u09af\u09b8\u09ae\u09c2\u09b9<\/h2>\n<h3>Cutoff Frequency (f<sub>\u0997<\/sub>)<\/h3>\n<ul>\n<li><strong>Definition:<\/strong> the frequency at which the filter response has dropped to &minus;3 dB, i.e. 70.7% of the passband amplitude.<\/li>\n<li><strong>Below f<sub>\u0997<\/sub> (passband):<\/strong> frequencies pass with minimal attenuation.<\/li>\n<li><strong>Above f<sub>\u0997<\/sub> (stopband):<\/strong> frequencies are progressively attenuated.<\/li>\n<li><strong>Transition band:<\/strong> the region around f<sub>\u0997<\/sub> where attenuation steadily increases.<\/li>\n<\/ul>\n<h3>Filter Order and Roll-Off<\/h3>\n<p>The order of a filter sets how sharply it transitions from passband to stopband:<\/p>\n<ul>\n<li><strong>1st order:<\/strong> 6 dB\/octave (20 dB\/decade) \u2014 gradual roll-off.<\/li>\n<li><strong>2nd order:<\/strong> 12 dB\/octave (40 dB\/decade) \u2014 moderate.<\/li>\n<li><strong>4th order:<\/strong> 24 dB\/octave (80 dB\/decade) \u2014 steep.<\/li>\n<li><strong>8th order:<\/strong> 48 dB\/octave (160 dB\/decade) \u2014 very steep.<\/li>\n<li><strong>Higher order:<\/strong> a sharper transition and better stopband rejection, at the cost of more phase shift and a longer transient response.<\/li>\n<\/ul>\n<h3>Filter Response Types<\/h3>\n<p>The same cutoff and order can be realised with different mathematical shapes, each trading flatness, sharpness, and phase behaviour:<\/p>\n<ul>\n<li><strong>Butterworth:<\/strong> maximally flat passband with no ripple.<\/li>\n<li><strong>Chebyshev:<\/strong> a sharper cutoff, accepting ripple in the passband.<\/li>\n<li><strong>Bessel:<\/strong> linear phase, which means minimal waveform distortion \u2014 the right choice when the shape of the <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/time-waveform\/\">time waveform<\/a> matters.<\/li>\n<li><strong>Elliptic:<\/strong> the sharpest possible transition, with ripple in both passband and stopband.<\/li>\n<\/ul>\n<h2>2. Primary Applications<\/h2>\n<h3>Anti-Aliasing (most critical)<\/h3>\n<p>This is the function no digitiser can omit. Without it, frequencies above the Nyquist limit fold back and appear as false peaks \u2014 the phenomenon of <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/aliasing\/\">aliasing<\/a>.<\/p>\n<ul>\n<li><strong>Purpose:<\/strong> block frequencies above the Nyquist frequency (half the sample rate).<\/li>\n<li><strong>Requirement:<\/strong> it must act <em>before<\/em> analog-to-digital conversion \u2014 software cannot remove an alias after the fact.<\/li>\n<li><strong>Typical cutoff:<\/strong> 0.4&ndash;0.8 &times; (sample rate \/ 2).<\/li>\n<li><strong>Steepness:<\/strong> typically 8th order or higher for good aliasing rejection.<\/li>\n<li><strong>Consequence of neglect:<\/strong> inadequate anti-aliasing creates false spectral peaks that mimic real faults.<\/li>\n<\/ul>\n<h3>\u09a8\u09af\u09bc\u09c7\u099c \u09b0\u09bf\u09a1\u09be\u0995\u09b6\u09a8<\/h3>\n<ul>\n<li>Removes high-frequency electrical noise.<\/li>\n<li>Filters out sensor-cable noise.<\/li>\n<li>Smooths data for <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/trending\/\">trending<\/a>.<\/li>\n<li>Improves the signal-to-noise ratio for the low-frequency components of interest.<\/li>\n<\/ul>\n<h3>Frequency Range Limitation<\/h3>\n<ul>\n<li>Focuses the analysis on the frequency range of interest.<\/li>\n<li>Example: a 0&ndash;100 Hz analysis for low-speed machinery.<\/li>\n<li>Removes irrelevant high-frequency content.<\/li>\n<li>Reduces data-processing and storage requirements.<\/li>\n<\/ul>\n<h3>Integration Preparation<\/h3>\n<ul>\n<li>Applied before <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/integration\/\">integrating<\/a> <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/acceleration\/\">acceleration<\/a> to <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/velocity\/\">velocity<\/a>.<\/li>\n<li>Removes very high frequencies \u2014 noise that integration would otherwise amplify.<\/li>\n<li>Typical cutoff: 1000&ndash;5000 Hz depending on the application.<\/li>\n<li>Prevents the noise amplification that plagues uncontrolled integration.<\/li>\n<\/ul>\n<h2>3. Selecting the Cutoff Frequency<\/h2>\n<h3>Anti-Aliasing Applications<\/h3>\n<ul>\n<li><strong>Rule:<\/strong> f<sub>\u0997<\/sub> = 0.4 &times; sample rate (conservative) to 0.8 &times; sample rate (aggressive).<\/li>\n<li><strong>Example:<\/strong> a 10 kHz sample rate gives f<sub>\u0997<\/sub> = 4000 Hz.<\/li>\n<li><strong>Criterion:<\/strong> stopband attenuation greater than 60 dB at the Nyquist frequency.<\/li>\n<\/ul>\n<h3>Analytical Applications<\/h3>\n<ul>\n<li>Set f<sub>\u0997<\/sub> just above the highest frequency of interest.<\/li>\n<li>For low-frequency analysis (0&ndash;200 Hz): f<sub>\u0997<\/sub> = 200&ndash;300 Hz.<\/li>\n<li>For <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/unbalance\/\">unbalance<\/a> only (the 1&times; component): f<sub>\u0997<\/sub> = 5&ndash;10&times; <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/running-speed\/\">running speed<\/a>.<\/li>\n<li>Always leave margin for the filter transition band.<\/li>\n<\/ul>\n<h3>\u09a8\u09af\u09bc\u09c7\u099c \u09b0\u09bf\u09a1\u09be\u0995\u09b6\u09a8<\/h3>\n<ul>\n<li>Identify the noise frequency range from the spectrum.<\/li>\n<li>Set f<sub>\u0997<\/sub> to pass the signal frequencies while rejecting the noise frequencies.<\/li>\n<li>Balance noise removal against signal preservation.<\/li>\n<\/ul>\n<h2>\u096a. \u09aa\u09b0\u09bf\u09ae\u09be\u09aa\u09c7 \u09aa\u09cd\u09b0\u09ad\u09be\u09ac<\/h2>\n<h3>Amplitude Domain<\/h3>\n<ul>\n<li><strong>Passband:<\/strong> minimal amplitude change, typically less than 0.5 dB.<\/li>\n<li><strong>Stopband:<\/strong> strong attenuation, 40&ndash;80 dB or more.<\/li>\n<li><strong>Overall level:<\/strong> the filter reduces the overall vibration reading if significant high-frequency content was present.<\/li>\n<\/ul>\n<h3>Time Domain<\/h3>\n<ul>\n<li>The waveform is smoothed as high-frequency variations are removed.<\/li>\n<li>Sharp edges and spikes are rounded.<\/li>\n<li>Transient response (filter ringing) can affect the waveform shape.<\/li>\n<li>Phase distortion can alter how the waveform is interpreted.<\/li>\n<\/ul>\n<h3>Frequency Domain<\/h3>\n<ul>\n<li>The spectrum shows reduced amplitudes above the cutoff.<\/li>\n<li>High-frequency peaks are diminished or eliminated.<\/li>\n<li>The noise floor is lowered if the noise was high-frequency.<\/li>\n<\/ul>\n<h2>5. \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09b8\u09ae\u09b8\u09cd\u09af\u09be \u098f\u09ac\u0982 \u09b8\u09ae\u09be\u09a7\u09be\u09a8<\/h2>\n<h3>Inadequate Anti-Aliasing<\/h3>\n<ul>\n<li><strong>Symptom:<\/strong> false low-frequency peaks in the spectrum.<\/li>\n<li><strong>Cause:<\/strong> high frequencies folding back below Nyquist.<\/li>\n<li><strong>\u09b8\u09ae\u09be\u09a7\u09be\u09a8:<\/strong> use a steeper filter, increase the sample rate, and verify the filter is actually functioning.<\/li>\n<\/ul>\n<h3>Cutoff Too Low<\/h3>\n<ul>\n<li><strong>Symptom:<\/strong> valid high-frequency signals are attenuated.<\/li>\n<li><strong>Example:<\/strong> <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/bearing-fault-frequencies\/\">\u09ac\u09c7\u09af\u09bc\u09be\u09b0\u09bf\u0982 \u09a4\u09cd\u09b0\u09c1\u099f\u09bf \u09ab\u09cd\u09b0\u09bf\u0995\u09cb\u09af\u09bc\u09c7\u09a8\u09cd\u09b8\u09bf<\/a> reduced by an overly aggressive LPF.<\/li>\n<li><strong>\u09b8\u09ae\u09be\u09a7\u09be\u09a8:<\/strong> increase the cutoff frequency or use a gentler filter slope.<\/li>\n<\/ul>\n<h3>Filter Artifacts<\/h3>\n<ul>\n<li><strong>Ringing:<\/strong> oscillations in the time domain caused by a sharp filter cutoff.<\/li>\n<li><strong>Phase distortion:<\/strong> waveform shape changes arising from phase shifts.<\/li>\n<li><strong>\u09b8\u09ae\u09be\u09a7\u09be\u09a8:<\/strong> use a Bessel filter for critical waveform applications where phase linearity matters.<\/li>\n<\/ul>\n<h2>6. Complementary Filters<\/h2>\n<h3>Low-Pass vs. High-Pass<\/h3>\n<ul>\n<li><strong>Low-pass:<\/strong> passes low frequencies, blocks high.<\/li>\n<li><strong>High-pass:<\/strong> passes high frequencies, blocks low.<\/li>\n<li><strong>Complementary:<\/strong> used together to form a band-pass filter.<\/li>\n<\/ul>\n<h3>Band-Pass Filter<\/h3>\n<ul>\n<li>A combination of high-pass plus low-pass stages.<\/li>\n<li>The resulting <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/band-pass-filter\/\">\u09ac\u09cd\u09af\u09be\u09a8\u09cd\u09a1-\u09aa\u09be\u09b8 \u09ab\u09bf\u09b2\u09cd\u099f\u09be\u09b0<\/a> passes only frequencies within a specified band.<\/li>\n<li>It rejects content both below and above that band.<\/li>\n<li>This is the front end of <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/envelope-analysis\/\">\u098f\u09a8\u09ad\u09c7\u09b2\u09aa \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09a3<\/a>, where a band around a bearing&#8217;s structural resonance is isolated before demodulation.<\/li>\n<\/ul>\n<h2>7. Where the Low-Pass Filter Fits in the Field<\/h2>\n<p>On a digital field instrument the low-pass filter is mostly invisible \u2014 it does its anti-aliasing work silently inside the acquisition chain \u2014 yet it underpins the trustworthiness of every reading. A portable two-channel analyser such as the <a href=\"https:\/\/vibromera.eu\/bn\/%e0%a6%aa%e0%a6%a3%e0%a7%8d%e0%a6%af\/balanset-1\/\">\u09ac\u09cd\u09af\u09be\u09b2\u09be\u09a8\u09b8\u09c7\u099f-\u09e7\u098f<\/a> bandlimits each <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/accelerometer\/\">accelerometer<\/a> channel before sampling, so the <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/fft\/\">FFT<\/a> it computes for balancing and diagnostics is free of aliased peaks across its working range. With the spectrum clean, the analyser can resolve the 1&times; <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/phase\/\">\u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0 \u098f\u09ac\u0982 \u09a6\u09b6\u09be<\/a> needed to balance a rotor and report a true <a href=\"https:\/\/vibromera.eu\/bn\/glossary\/residual-unbalance\/\">\u0985\u09ac\u09b6\u09bf\u09b7\u09cd\u099f \u09ad\u09be\u09b0\u09b8\u09be\u09ae\u09cd\u09af\u09b9\u09c0\u09a8\u09a4\u09be<\/a>, rather than chasing a ghost frequency created by poor filtering.<\/p>\n<p>Low-pass filters are fundamental components of vibration measurement systems, serving essential functions from anti-aliasing protection to noise reduction and frequency-range selection. Understanding their operation, choosing the cutoff frequency correctly, and appreciating their effect on the measured signal are crucial for accurate analysis and for avoiding measurement artifacts in digital data acquisition.<\/p>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/bn\/glossary\/\">\u2190 \u09aa\u09cd\u09b0\u09a7\u09be\u09a8 \u09b8\u09c2\u099a\u09bf\u09a4\u09c7 \u09ab\u09bf\u09b0\u09c1\u09a8<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Learn about low-pass filters in vibration analysis, signal processing tools that pass low frequencies while blocking high frequencies, essential for anti-aliasing and noise reduction.<\/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\/bn\/wp-json\/wp\/v2\/glossary\/158","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/glossary\/158\/revisions"}],"predecessor-version":[{"id":101341,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/glossary\/158\/revisions\/101341"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/media?parent=158"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/categories?post=158"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/tags?post=158"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}