{"id":47472,"date":"2023-07-11T12:00:47","date_gmt":"2023-07-11T12:00:47","guid":{"rendered":"https:\/\/www.dewetron.com\/news\/was-sind-fir-filter\/"},"modified":"2025-02-03T12:01:55","modified_gmt":"2025-02-03T12:01:55","slug":"was-sind-fir-filter","status":"publish","type":"post","link":"https:\/\/www.dewetron.com\/de\/news\/was-sind-fir-filter\/","title":{"rendered":"Was sind FIR-Filter?"},"content":{"rendered":"<div id=\"\" class=\"wp-block-text-columns margin-bottom-small\n      \">\n  <div class=\"container\">\n    <div class=\"row justify-content-center\">\n              <div class=\"col-12\">\n          <h2><\/h2>\n          <div class=\"content-size-normal\">\n            <p>In der Signalverarbeitung ist die Filterung ein wesentlicher Prozess zur Entfernung unerw\u00fcnschter Komponenten aus einem Signal. Eine spezielle Klasse von Filtern sind FIR (Finite Impulse Response) Filter, auf die wir in diesem Beitrag n\u00e4her eingehen werden. Nach einer kurzen Beschreibung digitaler Filter im Allgemeinen wird die Struktur und Funktion von FIR-Filtern er\u00f6rtert. Schlie\u00dflich geben wir einen \u00dcberblick \u00fcber die Implementierung von FIR-Filtern in unserer Messsoftware OXYGEN.<\/p>\n\n          <\/div>\n        <\/div>\n          <\/div>\n  <\/div>\n<\/div>\n\n\n<div id=\"\" class=\"wp-block-text-columns margin-bottom-small\n      \">\n  <div class=\"container\">\n    <div class=\"row justify-content-center\">\n              <div class=\"col-12\">\n          <h2>Was sind digitale Filter?<\/h2>\n          <div class=\"content-size-normal\">\n            <p>Ein digitaler Filter ist ein mathematischer Algorithmus zur Manipulation eines Signals, um Informationen zu extrahieren und unerw\u00fcnschte Informationen zu entfernen, z. B. durch Sperren oder Durchlassen eines bestimmten Frequenzbereichs. Es handelt sich also um ein digitales System, das eine Eingangssequenz durch einen Transformationsprozess in eine Ausgangssequenz umwandelt.<\/p>\n<p>Es gibt verschiedene Klassen von Filtern. Basierend auf der L\u00e4nge ihrer Impulsantwort k\u00f6nnen wir digitale Filter jedoch in die folgenden Kategorien einteilen:<\/p>\n<ul>\n<li>Unendliche Impulsantwort (IIR)<\/li>\n<li>Endliche Impulsantwort (FIR)<\/li>\n<\/ul>\n<p>Analoge Filter werden mit elektronischen Bauteilen wie Kondensatoren, Spulen, Widerst\u00e4nden usw. realisiert. Im Gegensatz dazu, werden digitale Filter mit Logikbausteinen wie ASICs, FPGAs oder in Form eines sequenziellen Programms mit einem Signalprozessor umgesetzt.<\/p>\n\n          <\/div>\n        <\/div>\n          <\/div>\n  <\/div>\n<\/div>\n\n\n<div id=\"\" class=\"wp-block-text-columns margin-bottom-small\n      \">\n  <div class=\"container\">\n    <div class=\"row justify-content-center\">\n              <div class=\"col-12\">\n          <h2>Was ist der Unterschied zwischen IIR- und FIR-Filtern?<\/h2>\n          <div class=\"content-size-normal\">\n            <p>Im Allgemeinen unterscheiden sich <a href=\"https:\/\/www.dewetron.com\/de\/produkte\/software\/mathe-funktionen\/#fir\">IIR- und FIR-Filte<\/a>r durch die Reaktion eines Filters auf einen Eingangsimpuls. F\u00e4llt die Impulsantwort des Filters nach Ablauf einer endlichen Zeit auf null ab, spricht man von einem FIR-Filter (Finite Impulse Response). Ist die Impulsantwort dagegen zeitlich unbegrenzt, handelt es sich um ein IIR-Filter (Infinite Impulse Response). Ob die Impulsantwort eines digitalen Filters nach einer endlichen Zeit auf null abf\u00e4llt, h\u00e4ngt davon ab, wie die Ausgangswerte berechnet werden. Bei FIR-Filtern h\u00e4ngen die Ausgangswerte nur von den aktuellen und vorhergehenden Eingangswerten ab, w\u00e4hrend bei IIR-Filtern die Ausgangswerte zus\u00e4tzlich von den vorhergehenden Ausgangswerten abh\u00e4ngen.<\/p>\n<p>Der Vorteil von IIR-Filtern gegen\u00fcber FIR-Filtern besteht darin, dass IIR-Filter in der Regel weniger Koeffizienten ben\u00f6tigen, um vergleichbare Filteroperationen durchzuf\u00fchren, schneller arbeiten und weniger Arbeitsspeicher ben\u00f6tigen. Ein gro\u00dfer Nachteil von IIR-Filtern ist jedoch ihr nicht-lineares Phasenverhalten. F\u00fcr Anwendungen, die keine Phaseninformation ben\u00f6tigen, wie die \u00dcberwachung der Signalamplitude, sind IIR-Filter gut geeignet. Deshalb sind f\u00fcr Anwendungen, die eine lineare Phasenreaktion erfordern, FIR-Filter im Allgemeinen besser geeignet.<\/p>\n\n          <\/div>\n        <\/div>\n          <\/div>\n  <\/div>\n<\/div>\n\n\n<div id=\"\" class=\"wp-block-text-columns margin-bottom-small\n      \">\n  <div class=\"container\">\n    <div class=\"row justify-content-center\">\n              <div class=\"col-12\">\n          <h2>Wie funktionieren FIR-Filter?<\/h2>\n          <div class=\"content-size-normal\">\n            <p>Abb. 1 zeigt die Funktionsweise eines FIR-Filters. Am Eingang werden die Daten\/Werte x(n) vom A\/D-Wandler Takt f\u00fcr Takt (Sample f\u00fcr Sample) angelegt.<\/p>\n<p>In der oberen Reihe der Skizze befinden sich Schiebeelemente (z<sup>-1<\/sup>), die die am Eingang anliegenden Daten\/Werte pro Taktzyklus um einen Schritt verschieben. Das bedeutet, dass am Ende des folgenden Beispiels der Wert x(n-3), drei Takte vor dem aktuellen Wert x(n) liegt. In der Mitte befinden sich die FIR-Koeffizienten k<sub>0<\/sub>\u2013k<sub>m<\/sub>. Diese Koeffizienten stellen einen Verst\u00e4rker dar, der den Eingangswert mit der Verst\u00e4rkung \u201ek\u201c multipliziert. Die untere Reihe ist der Summationszweig, der die Ergebnisse aller Multiplikationen addiert (Integration). Das Ausgangssignal y(n) ist nun das gem\u00e4\u00df den FIR-Koeffizienten verarbeitete Signal und kann durch den folgenden mathematischen Ausdruck dargestellt werden:<br \/>\n$$ y(n)=sumlimits_{i = 0}^m k(i)*x(n-i) $$<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-30687 size-full\" title=\"FIR_filter (1)\" src=\"https:\/\/www.dewetron.com\/app\/uploads\/2024\/09\/FIR_filter-1.png\" alt=\"FIR filter schematic structure\" width=\"605\" height=\"191\" \/><\/p>\n<p style=\"text-align: center;\"><em>Abb. 1: Kalkulationsprozess eines FIR-Filters<\/em><\/p>\n<p>&nbsp;<\/p>\n<p>In unserem Whitepaper stellen wir im Weiteren ein detailliertes Beispiel vor, wie die Filterkoeffizienten eines FIR-Tiefpassfilters bestimmt werden k\u00f6nnen.<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"button-blue\" href=\"https:\/\/content.dewetron.cloud\/whitepaper-fir-filter-and-their-use-in-oxygen\/\" target=\"_blank\" rel=\"noopener\">Whitepaper hier herunterladen!<\/a><\/p>\n\n          <\/div>\n        <\/div>\n          <\/div>\n  <\/div>\n<\/div>\n\n\n<div id=\"\" class=\"wp-block-text-columns margin-bottom-small\n      \">\n  <div class=\"container\">\n    <div class=\"row justify-content-center\">\n              <div class=\"col-12\">\n          <h2>FIR-Filter in OXYGEN<\/h2>\n          <div class=\"content-size-normal\">\n            <p>OXYGEN ist unsere intuitive Test- und Messsoftware. Es ist eine All-in-One-Software f\u00fcr die Messung, Visualisierung und Analyse verschiedenster Anwendungen. Sie enth\u00e4lt eine Vielzahl von Features, unter anderem ein FIR-Filter-Tool.<\/p>\n<p>Es ist ein einfach zu bedienendes Tool, das Ihnen die Wahl zwischen vier verschiedenen Filtertypen erm\u00f6glicht:<\/p>\n<ul>\n<li>Tiefpass<\/li>\n<li>Hochpass<\/li>\n<li>Bandpass<\/li>\n<li>Bandstopp<\/li>\n<\/ul>\n<p>Nach der Auswahl geben Sie einfach die Filterl\u00e4nge, die gew\u00fcnschte Fensterfunktion und die Angabe, ob Sie die Signalverz\u00f6gerung kompensieren m\u00f6chten, ein und schon kann es losgehen. Eine detailliertere Anleitung zum Einrichten eines FIR-Filters in OXYGEN finden Sie in unserem Whitepaper.<\/p>\n\n          <\/div>\n        <\/div>\n          <\/div>\n  <\/div>\n<\/div>\n\n\n<div id=\"\" class=\"wp-block-text-columns margin-bottom-none\n      \">\n  <div class=\"container\">\n    <div class=\"row justify-content-center\">\n              <div class=\"col-12\">\n          <h2>Kurz und b\u00fcndig<\/h2>\n          <div class=\"content-size-normal\">\n            <p>Digitale Filter sind mathematische Algorithmen zur Manipulation von Signalen, um unerw\u00fcnschte Informationen zu entfernen. Bei FIR-Filtern handelt es sich um eine Unterklasse, deren Impulsantwort eine endliche L\u00e4nge hat. Im Vergleich zu IIR-Filtern sind <a href=\"https:\/\/www.dewetron.com\/de\/produkte\/software\/mathe-funktionen\/#fir\">FIR-Filter<\/a> grunds\u00e4tzlich stabiler und k\u00f6nnen f\u00fcr eine lineare Phase ausgelegt werden.<br \/>\n&nbsp;<\/p>\n\n          <\/div>\n        <\/div>\n          <\/div>\n  <\/div>\n<\/div>\n\n\n<div id=\"\" class=\"wp-block-claim-links-gray margin-bottom-none\">\n  <div class=\"container-fluid bg-container py-7 bg-darkgray\">\n    <div class=\"container position-relative\">\n      <div class=\"claim col-12 col-lg-8 offset-lg-2 text-center text-light\">\n                  <h3 class=\"h3 text-uppercase\">ERFAHREN SIE MEHR \u00dcBER FIR FILTER IN OXYGEN <\/h3>\n                                  <div class=\"link-button d-flex flex-wrap mt-4 justify-content-center gap-4\">\n                          <a\n    class=\"dewetron-btn\"\n    href=\"https:\/\/www.dewetron.com\/de\/produkte\/software\/mathe-funktionen\/#fir\"\n          >\n          \n      <span>FIR FILTER IN OXYGEN<\/span>\n      <\/a>\n                                      <a\n    class=\"dewetron-btn\"\n    href=\"https:\/\/content.dewetron.cloud\/whitepaper-fir-filter-and-their-use-in-oxygen\/\"\n     target=\"_blank\"       >\n          \n      <span>LESEN SIE UNSER WHITEPAPER<\/span>\n      <\/a>\n                                      <a\n    class=\"dewetron-btn\"\n    href=\"https:\/\/www.dewetron.com\/de\/produkte\/software\/oxygen-uebersicht\/\"\n          >\n          \n      <span>OXYGEN SOFTWARE<\/span>\n      <\/a>\n                      <\/div>\n              <\/div>\n    <\/div>\n    <div class=\"triangle-left\">\n      <svg width=\"473\" height=\"469\" viewBox=\"0 0 473 469\" fill=\"none\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n<path d=\"M323.984 352.833H79.0486L13.0728 467.099V468.52H390.784L323.984 352.833Z\" fill=\"#B0B0AF\"\/>\n<path d=\"M134.967 0L-68 351.55L-2.02418 465.84L-0.810036 466.55L268.545 0H134.967Z\" fill=\"#B0B0AF\"\/>\n<path d=\"M472.154 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lesen\n                    <\/span>\n                  <\/div>\n      <span><\/span>\n      <\/a>\n              <\/div>\n                          <div class=\"news-card swiper-slide col-lg-4 col-12 bg-light \">\n                <a\n    class=\"\"\n    href=\"https:\/\/www.dewetron.com\/de\/news\/oxygen-8-1-echtzeit-leistungsanalyse-und-nahtlose-systemintegration\/\"\n          >\n          <picture>\n        <img decoding=\"async\"\n        class=\"img-fluid aspect-4-3\" size=\"full\"\n        src=\"https:\/\/www.dewetron.com\/app\/uploads\/2026\/05\/header_oxygen_8.1.png\"\n        alt=\"\"\n        title=\"\"\n        loading=\"lazy\"\n                    onerror=\"this.src = 'https:\/\/www.dewetron.com\/app\/themes\/dewetron\/public\/images\/fallback.8952c5.jpg'\"\n            >\n<\/picture>\n                  <div class=\"card-content p-2\">\n                    <span class=\"category d-inline-flex\">Software-Info<\/span>\n                    <h5 class=\"mb-2 mt-4 text-uppercase\">\n                      OXYGEN 8.1 \u2013 Echtzeit-Leistungsanalyse und nahtlose Systemintegration\n                    <\/h5>\n                                        <span class=\"read-more text-primary text-uppercase mt-4 d-block\">\n                      Mehr lesen\n                    <\/span>\n                  <\/div>\n      <span><\/span>\n      <\/a>\n              <\/div>\n                          <div class=\"news-card swiper-slide col-lg-4 col-12 bg-light \">\n                <a\n    class=\"\"\n    href=\"https:\/\/www.dewetron.com\/de\/news\/understanding-time-modern-systems\/\"\n          >\n          <picture>\n        <img decoding=\"async\"\n        class=\"img-fluid aspect-4-3\" size=\"full\"\n        src=\"https:\/\/www.dewetron.com\/app\/uploads\/2026\/01\/Header-scaled.jpg\"\n        alt=\"\"\n        title=\"\"\n        loading=\"lazy\"\n                    onerror=\"this.src = 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