Umgang mit Aliasing- und Quantisierungsfehlern im DSP

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text-color-text-secondary">Bereitgestellt von KI und der LinkedIn Community</div> <section class="table-of-content pb-6"> <div class="group menu-item relative flex cursor-pointer flex-row justify-start border-0 pl-0" data-chunk-header-id="sampling-und-aliasing"> <h3 class="text-color-text group-hover:text-color-text-brand">1</h3> <div class="ml-2 mr-6 mt-0.5 min-w-[75%]"> <a class="fragmented-links font-normal !text-color-text underline decoration-1 underline-offset-4 group-hover:!text-color-text-brand" href="#sampling-und-aliasing" data-tracking-will-navigate data-tracking-control-name="article-ssr-frontend-x-article__toc-article-segment-navigation">Sampling und Aliasing </a> <p class="inline-promotion-text mt-0.5 text-xs font-normal text-color-text-low-emphasis">Fügen Sie als Erste:r Ihre persönliche Berufserfahrung hinzu</p> </div> <icon class="invisible absolute right-2 top-1/2 flex -translate-y-2/4 items-center justify-between rounded-full border-1 border-solid 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border-0 pl-0" data-chunk-header-id="hier-ist,-was-sie-sonst-noch-beachten-sollten"> <h3 class="text-color-text group-hover:text-color-text-brand">7</h3> <div class="ml-2 mr-6 mt-0.5 min-w-[75%]"> <a class="fragmented-links font-normal !text-color-text underline decoration-1 underline-offset-4 group-hover:!text-color-text-brand" href="#hier-ist,-was-sie-sonst-noch-beachten-sollten" data-tracking-will-navigate data-tracking-control-name="article-ssr-frontend-x-article__toc-article-segment-navigation">Hier ist, was Sie sonst noch beachten sollten </a> <p class="inline-promotion-text mt-0.5 text-xs font-normal text-color-text-low-emphasis">Fügen Sie als Erste:r Ihre persönliche Berufserfahrung hinzu</p> </div> <icon class="invisible absolute right-2 top-1/2 flex -translate-y-2/4 items-center justify-between rounded-full border-1 border-solid border-color-container-brand p-1 group-hover:visible" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/6q8fxh9snmcwlh1wxg6fktwgf" data-svg-class-name="w-2 h-2 text-color-text-brand"></icon> </div> </section> <div class="x-article-introduction"> <div class="article-main__content" data-test-id="publishing-text-block"> <p> <span class>Aliasing- und Quantisierungsfehler sind zwei häufige Quellen für Verzerrungen und Rauschen in der digitalen Signalverarbeitung (DSP) Systeme. Sie treten auf, wenn ein kontinuierliches Signal abgetastet, quantisiert und mit diskreten Werten und endlicher Genauigkeit rekonstruiert wird. In diesem Artikel erfahren Sie, wie Sie mit diesen Fehlern umgehen können, indem Sie einige grundlegende Prinzipien und Techniken anwenden.</span> </p> </div> </div> </div> </div> </div> <div class="column-article-segment-contributions md:column md:w-1/2"> <code id="shouldExpandContributionBox" style="display: none"></code> <div class="x-featured-expert-section__wrapper flex h-full flex-1 flex-col"> <div class="x-featured-expert-section h-full"> <div class="x-featured-expert-section__article-experts"> <div class="x-featured-expert-section__title mt-2 pb-0.5 text-xl font-bold text-color-text"> In diesem gemeinsamen Artikel finden Sie Antworten von Expert:innen. </div> <div class="x-featured-expert-section__subtitle pb-3 text-sm text-color-text-secondary"> Im Fokus können Expert:innen stehen, die hochwertige Beiträge hinzufügen. <a href="https://www.linkedin.com/help/linkedin/answer/a1652832" target="_blank" aria-label="Mehr über gemeinsame Artikel erfahren" data-tracking-control-name="article-ssr-frontend-x-article__featured-expert-learn-more-link" data-tracking-will-navigate="true" class="text-color-text-secondary active:no-underline hover:no-underline visited:text-color-text-secondary hover:text-color-text-secondary">Mehr erfahren</a> </div>  </div> </div> <div class="x-featured-expert-section__get-started pt-3 "> <div class="x-featured-section__get-started-ctn relative pt-2 md:pt-0"> <div class="x-featured-section__get-started-button-content flex"> <div class="face-pile flex !no-underline inline"> <div class="face-pile__images-container self-start flex-shrink-0 mr-1 leading-[1]"> <img class="inline-block relative rounded-[50%] w-4 h-4 face-pile__image border-1 border-solid border-color-transparent -ml-2 first:ml-0" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/aknc0tlv27rvexgsrvndtcui2" data-ghost-classes="bg-color-entity-ghost-background" data-ghost-url="https://static.licdn.com/aero-v1/sc/h/9c8pery4andzj6ohjkjp54ma2" alt> <img class="inline-block relative rounded-[50%] w-4 h-4 face-pile__image border-1 border-solid border-color-transparent -ml-2 first:ml-0" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/869o6d2o2qd7c3q7n4vqr7j7e" data-ghost-classes="bg-color-entity-ghost-background" data-ghost-url="https://static.licdn.com/aero-v1/sc/h/9c8pery4andzj6ohjkjp54ma2" alt> <img class="inline-block relative rounded-[50%] w-4 h-4 face-pile__image border-1 border-solid border-color-transparent -ml-2 first:ml-0" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/b0d8dulikeg7a1iqa78rno640" data-ghost-classes="bg-color-entity-ghost-background" data-ghost-url="https://static.licdn.com/aero-v1/sc/h/9c8pery4andzj6ohjkjp54ma2" alt> </div>  </div> <button class="x-featured-section__get-started-button btn-sm btn-tertiary py-0.5 px-2" aria-label="Klicken Sie, um zum ersten Segment in diesem gemeinsamen Artikel zu scrollen." data-tracking-will-navigate="true" data-tracking-control-name="featured_start_contribution_section" data-feed-action-category="view" data-feed-action-type="viewContribution"> <div class="x-featured-section__get-started-button-content__text-icon inline-flex items-center"> <div class="x-featured-section__get-started-copy inline-block pr-1">Sehen Sie, was andere sagen</div> <icon class="relative ml-0 inline-block text-color-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/4w63b6j0lft0iau5gbn0984ev" data-svg-class-name="w-2 h-2"></icon> </div> </button> </div> </div> </div> </div> </div> </div>  <code id="loginUrl" style="display: none"></code> <div class="article-segment" data-is-logged-in="false" data-thread-urn="urn:li:articleSegment:(urn:li:linkedInArticle:7041802178537140224,7041802181217271808)" data-test-id="article-segment" data-total-count="0" data-tracking-prefix="article-ssr-frontend-x-article" role="presentation"> <div class="md:row pb-6 md:flex"> <div class="column-article-segment-content md:column md:mb-8 md:mr-4 md:w-1/2 md:flex-1 md:pr-[88px]"> <div class="md:pt-6 sticky-on-scroll"> <div class="article-segment-content-container "> <div id="content-urn_li_articleSegment__urn_li_linkedInArticle_7041802178537140224_7041802181217271808_"> <div class="article-main__content" data-test-id="publishing-text-block"> <h2 class="flex"> <a id="sampling-und-aliasing" href="#sampling-und-aliasing" class="dummy-anchor invisible absolute mt-[-100px]"></a> <span class="header-index pr-1.5">1</span> <span class>Sampling und Aliasing</span> </h2> </div> <div class="article-main__content" data-test-id="publishing-text-block"> <p> <span class>Sampling ist der Prozess, bei dem ein kontinuierliches Signal in regelmäßigen Abständen in eine Folge diskreter Werte umgewandelt wird. Die Abtastrate bestimmt, wie oft das Signal gemessen wird und wie viele Informationen erhalten bleiben. Nach dem Nyquist-Shannon-Abtasttheorem muss die Abtastrate mindestens doppelt so hoch sein wie die höchste Frequenzkomponente des Signals, um Aliasing zu vermeiden. Aliasing ist das Phänomen, bei dem höhere Frequenzen als niedrigere Frequenzen im abgetasteten Signal erscheinen, was zu Verzerrungen und Mehrdeutigkeiten führt. Um Aliasing zu vermeiden, müssen Sie vor dem Sampling die Frequenzen oberhalb der Nyquist-Frequenz herausfiltern, die der Hälfte der Abtastrate entspricht. Dies wird als Anti-Aliasing-Filterung bezeichnet.</span> </p> </div> </div> </div> </div> </div> <div class="column-article-segment-contributions md:column md:pb-[200px] md:w-1/2"> <div class="article-segment-contributions-header-container bg-color-canvas-tint md:ml-[-12px] md:pt-6 lg:ml-0 sticky-on-scroll mt-1 ">  <div class="add-your-perspective-section relative flex flex-row items-center " data-segment-urn="urn:li:articleSegment:(urn:li:linkedInArticle:7041802178537140224,7041802181217271808)" data-test-add-contribution> <code id="add_your_perspective_tracking_prefix" style="display: none"></code> <code id="isGuest" style="display: none"></code> <code id="showFuseErrorMessage" style="display: none"></code> <div class="mb-2"> <a href="https://www.linkedin.com/signup/cold-join?session_redirect=%2Fadvice%2F0%2Fhow-do-you-deal-aliasing-quantization%3Flang%3Dde&trk=article-ssr-frontend-x-article" target="_self" data-tracking-control-name="add_contribution_cta" data-tracking-will-navigate 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mt-[-100px]"></a> <span class="header-index pr-1.5">2</span> <span class>Quantisierung und Quantisierungsfehler</span> </h2> </div> <div class="article-main__content" data-test-id="publishing-text-block"> <p> <span class>Bei der Quantisierung wird jedem abgetasteten Wert des Signals ein diskreter Wert zugewiesen. Die diskreten Werte werden in der Regel durch eine endliche Anzahl von Bits dargestellt, was die Auflösung und Genauigkeit der Quantisierung einschränkt. Die Differenz zwischen dem tatsächlich abgetasteten Wert und dem zugewiesenen diskreten Wert wird als Quantisierungsfehler bezeichnet. Der Quantisierungsfehler führt zu Rauschen und Verzerrungen im Signal, die vom Quantisierungsschema und den Signaleigenschaften abhängen. Um den Quantisierungsfehler zu reduzieren, müssen Sie mehr Bits verwenden, um die diskreten Werte darzustellen, was den Dynamikbereich und das Signal-Rausch-Verhältnis erhöht. Sie können auch verschiedene Quantisierungsmethoden verwenden, z. B. gleichmäßige, ungleichmäßige oder adaptive Quantisierung, um den Signaleigenschaften und -anforderungen gerecht zu werden.</span> </p> </div> </div> </div> </div> </div> <div class="column-article-segment-contributions md:column md:pb-[200px] md:w-1/2"> <div class="article-segment-contributions-header-container bg-color-canvas-tint md:ml-[-12px] md:pt-6 lg:ml-0 sticky-on-scroll mt-1 ">  <div class="add-your-perspective-section relative flex flex-row items-center " data-segment-urn="urn:li:articleSegment:(urn:li:linkedInArticle:7041802178537140224,7041802181259243520)" data-test-add-contribution> <code id="add_your_perspective_tracking_prefix" style="display: none"></code> <code id="isGuest" style="display: none"></code> <code id="showFuseErrorMessage" style="display: none"></code> <div class="mb-2"> <a href="https://www.linkedin.com/signup/cold-join?session_redirect=%2Fadvice%2F0%2Fhow-do-you-deal-aliasing-quantization%3Flang%3Dde&trk=article-ssr-frontend-x-article" target="_self" 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class="save-contribution-changes-button-text">Speichern</span> </button> </div> </div> </div> </div> </div> <ul class="contribution-list contribution-list-guest">  </ul>  </div> </div> </div> <code id="loginUrl" style="display: none"></code> <div class="article-segment" data-is-logged-in="false" data-thread-urn="urn:li:articleSegment:(urn:li:linkedInArticle:7041802178537140224,7041802181296930817)" data-test-id="article-segment" data-total-count="0" data-tracking-prefix="article-ssr-frontend-x-article" role="presentation"> <div class="md:row pb-6 md:flex"> <div class="column-article-segment-content md:column md:mb-8 md:mr-4 md:w-1/2 md:flex-1 md:pr-[88px]"> <div class="md:pt-6 sticky-on-scroll"> <div class="article-segment-content-container "> <div id="content-urn_li_articleSegment__urn_li_linkedInArticle_7041802178537140224_7041802181296930817_"> <div class="article-main__content" data-test-id="publishing-text-block"> <h2 class="flex"> <a id="rekonstruktion-und-interpolation" href="#rekonstruktion-und-interpolation" class="dummy-anchor invisible absolute mt-[-100px]"></a> <span class="header-index pr-1.5">3</span> <span class>Rekonstruktion und Interpolation</span> </h2> </div> <div class="article-main__content" data-test-id="publishing-text-block"> <p> <span class>Rekonstruktion ist der Prozess, bei dem das quantisierte Signal wieder in ein kontinuierliches Signal umgewandelt wird. Der einfachste Weg, dies zu tun, besteht darin, einen Hold nuller Ordnung zu verwenden, der die diskreten Werte mit geraden Linien verbindet. Diese Methode führt jedoch zu Diskontinuitäten und Artefakten im rekonstruierten Signal, die seine Qualität und Wiedergabetreue beeinträchtigen. Eine bessere Möglichkeit, dies zu tun, ist die Verwendung der Interpolation, bei der die Zwischenwerte zwischen den diskreten Werten mithilfe einer mathematischen Funktion geschätzt werden. Die gebräuchlichste Interpolationsfunktion ist die sinc-Funktion, die der ideale Tiefpassfilter ist, der die durch das Sampling und die Quantisierung eingeführten Hochfrequenzanteile eliminiert. Um die sinc-Interpolation zu implementieren, müssen Sie einen Digital-Analog-Wandler verwenden (DAC) und ein Tiefpassfilter.</span> </p> </div> </div> </div> </div> </div> <div class="column-article-segment-contributions md:column md:pb-[200px] md:w-1/2"> <div class="article-segment-contributions-header-container bg-color-canvas-tint md:ml-[-12px] md:pt-6 lg:ml-0 sticky-on-scroll mt-1 ">  <div class="add-your-perspective-section relative flex flex-row items-center " data-segment-urn="urn:li:articleSegment:(urn:li:linkedInArticle:7041802178537140224,7041802181296930817)" data-test-add-contribution> <code id="add_your_perspective_tracking_prefix" style="display: none"></code> <code id="isGuest" style="display: none"></code> <code id="showFuseErrorMessage" style="display: none"></code> <div class="mb-2"> <a href="https://www.linkedin.com/signup/cold-join?session_redirect=%2Fadvice%2F0%2Fhow-do-you-deal-aliasing-quantization%3Flang%3Dde&trk=article-ssr-frontend-x-article" target="_self" 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href="#fehleranalyse-und-performance-metriken" class="dummy-anchor invisible absolute mt-[-100px]"></a> <span class="header-index pr-1.5">4</span> <span class>Fehleranalyse und Performance-Metriken</span> </h2> </div> <div class="article-main__content" data-test-id="publishing-text-block"> <p> <span class>Um die Leistung eines DSP-Systems zu bewerten, müssen Sie die Fehler analysieren, die durch die Abtast-, Quantisierungs- und Rekonstruktionsprozesse verursacht werden. Sie können verschiedene Metriken verwenden, um die Fehler zu messen, z. B. den mittleren quadratischen Fehler (), das maximale Signal-Rausch-Verhältnis (PSNR), die gesamte harmonische Verzerrung (THD)und das Signal-Verzerrungs-Verhältnis (SZR). Diese Metriken quantifizieren den Unterschied zwischen dem Originalsignal und dem rekonstruierten Signal in Bezug auf Rauschen, Verzerrung und Qualität. Sie können diese Metriken verwenden, um verschiedene DSP-Systeme zu vergleichen und deren Parameter und Komponenten zu optimieren.</span> </p> </div> </div> </div> </div> </div> <div class="column-article-segment-contributions md:column md:pb-[200px] md:w-1/2"> <div class="article-segment-contributions-header-container bg-color-canvas-tint md:ml-[-12px] md:pt-6 lg:ml-0 sticky-on-scroll mt-1 ">  <div class="add-your-perspective-section relative flex flex-row items-center " data-segment-urn="urn:li:articleSegment:(urn:li:linkedInArticle:7041802178537140224,7041802181309534208)" data-test-add-contribution> <code id="add_your_perspective_tracking_prefix" style="display: none"></code> <code id="isGuest" style="display: none"></code> <code id="showFuseErrorMessage" style="display: none"></code> <div class="mb-2"> <a href="https://www.linkedin.com/signup/cold-join?session_redirect=%2Fadvice%2F0%2Fhow-do-you-deal-aliasing-quantization%3Flang%3Dde&trk=article-ssr-frontend-x-article" 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<span class="save-contribution-changes-button-text">Speichern</span> </button> </div> </div> </div> </div> </div> <ul class="contribution-list contribution-list-guest">  </ul>  </div> </div> </div> <code id="loginUrl" style="display: none"></code> <div class="article-segment" data-is-logged-in="false" data-thread-urn="urn:li:articleSegment:(urn:li:linkedInArticle:7041802178537140224,7041802181309513728)" data-test-id="article-segment" data-total-count="0" data-tracking-prefix="article-ssr-frontend-x-article" role="presentation"> <div class="md:row pb-6 md:flex"> <div class="column-article-segment-content md:column md:mb-8 md:mr-4 md:w-1/2 md:flex-1 md:pr-[88px]"> <div class="md:pt-6 sticky-on-scroll"> <div class="article-segment-content-container "> <div id="content-urn_li_articleSegment__urn_li_linkedInArticle_7041802178537140224_7041802181309513728_"> <div class="article-main__content" data-test-id="publishing-text-block"> <h2 class="flex"> <a id="techniken-zur-fehlerreduzierung-und--minderung" href="#techniken-zur-fehlerreduzierung-und--minderung" class="dummy-anchor invisible absolute mt-[-100px]"></a> <span class="header-index pr-1.5">5</span> <span class>Techniken zur Fehlerreduzierung und -minderung</span> </h2> </div> <div class="article-main__content" data-test-id="publishing-text-block"> <p> <span class>Um die Leistung eines DSP-Systems zu verbessern, müssen Sie die durch Aliasing und Quantisierung verursachten Fehler reduzieren und mindern. Zu den Techniken, um dies zu erreichen, gehören die Verwendung höherer Abtastraten und Bittiefen für eine höhere Auflösung und Genauigkeit, die Implementierung von Anti-Aliasing und Tiefpassfiltern zur Entfernung unerwünschter Frequenzen, Oversampling und Rauschformung zur Verbreitung von Quantisierungsfehlern, Dithering und Modulation für zusätzliches zufälliges Rauschen vor der Quantisierung sowie Fehlerkorrektur- und Erkennungscodes zur Identifizierung und Korrektur von Fehlern, die durch die Übertragung oder Speicherung des quantisierten Signals verursacht werden.</span> </p> </div> </div> </div> </div> </div> <div class="column-article-segment-contributions md:column md:pb-[200px] md:w-1/2"> <div class="article-segment-contributions-header-container bg-color-canvas-tint md:ml-[-12px] md:pt-6 lg:ml-0 sticky-on-scroll mt-1 ">  <div class="add-your-perspective-section relative flex flex-row items-center " 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data-feed-control="comment_post" data-feed-action-category="COMMENT" data-feed-action-type="submitContribution"> <div class="loader flex"> <div class="loader__container mb-2 overflow-hidden"> <icon class="loader__icon inline-block loader__icon--default text-color-progress-loading" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/ddi43qwelxeqjxdd45pe3fvs1" data-svg-class-name="loader__icon-svg--x-small fill-currentColor h-[20px] min-h-[20px] w-[20px] min-w-[20px]"></icon> </div> </div> <span class="submit-contribution-button-text">Hinzufügen</span> <span class="save-contribution-changes-button-text">Speichern</span> </button> </div> </div> </div> </div> </div> <ul class="contribution-list contribution-list-guest">  </ul>  </div> </div> </div> <code id="loginUrl" style="display: none"></code> <div class="article-segment" data-is-logged-in="false" data-thread-urn="urn:li:articleSegment:(urn:li:linkedInArticle:7041802178537140224,7041802181351464961)" data-test-id="article-segment" data-total-count="0" data-tracking-prefix="article-ssr-frontend-x-article" role="presentation"> <div class="md:row pb-6 md:flex"> <div class="column-article-segment-content md:column md:mb-8 md:mr-4 md:w-1/2 md:flex-1 md:pr-[88px]"> <div class="md:pt-6 sticky-on-scroll"> <div class="article-segment-content-container "> <div id="content-urn_li_articleSegment__urn_li_linkedInArticle_7041802178537140224_7041802181351464961_"> <div class="article-main__content" data-test-id="publishing-text-block"> <h2 class="flex"> <a id="zusammenfassung-und-kernaussagen" href="#zusammenfassung-und-kernaussagen" class="dummy-anchor invisible absolute mt-[-100px]"></a> <span class="header-index pr-1.5">6</span> <span class>Zusammenfassung und Kernaussagen</span> </h2> </div> <div class="article-main__content" data-test-id="publishing-text-block"> <p> <span class>In diesem Artikel haben Sie gelernt, wie Sie Aliasing- und Quantisierungsfehler in DSP-Systemen verwalten. Um Aliasing zu vermeiden, müssen Sie Frequenzen oberhalb der Nyquist-Frequenz herausfiltern, bevor Sie mit einem Anti-Aliasing-Filter abtasten. Um den Quantisierungsfehler zu reduzieren, können Sie die Anzahl der Bits erhöhen, die zur Darstellung der diskreten Werte verwendet werden, und verschiedene Quantisierungsmethoden verwenden, um den Signaleigenschaften und -anforderungen gerecht zu werden. Die Interpolation kann verwendet werden, um Zwischenwerte zwischen den diskreten Werten mithilfe einer mathematischen Funktion, wie z. B. der sinc-Funktion, zu schätzen. Um die Leistung zu bewerten, können Metriken wie, PSNR, THD und SDR verwendet werden. Techniken wie Oversampling, Noise Shaping, Dithering, Modulation sowie Fehlerkorrektur- und Erkennungscodes können ebenfalls dazu beitragen, Fehler zu reduzieren und zu mindern.</span> </p> </div> </div> </div> </div> </div> <div class="column-article-segment-contributions md:column md:pb-[200px] md:w-1/2"> <div class="article-segment-contributions-header-container bg-color-canvas-tint md:ml-[-12px] md:pt-6 lg:ml-0 sticky-on-scroll mt-1 ">  <div class="add-your-perspective-section relative flex flex-row items-center " data-segment-urn="urn:li:articleSegment:(urn:li:linkedInArticle:7041802178537140224,7041802181351464961)" data-test-add-contribution> <code id="add_your_perspective_tracking_prefix" style="display: none"></code> <code id="isGuest" style="display: none"></code> <code id="showFuseErrorMessage" style="display: none"></code> <div class="mb-2"> <a 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language-selector__link !font-regular" data-tracking-control-name="language-selector-pl_PL" data-locale="pl_PL" role="menuitem" lang="pl_PL"> Polski (Polnisch) </button> </li> <li class="language-selector__item" role="presentation">  <button aria-label="Português (Portugiesisch)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-pt_BR" data-locale="pt_BR" role="menuitem" lang="pt_BR"> Português (Portugiesisch) </button> </li> <li class="language-selector__item" role="presentation">  <button aria-label="Română (Rumänisch)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-ro_RO" data-locale="ro_RO" role="menuitem" lang="ro_RO"> Română (Rumänisch) </button> </li> <li class="language-selector__item" role="presentation">  <button aria-label="Русский (Russisch)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-ru_RU" data-locale="ru_RU" role="menuitem" lang="ru_RU"> Русский (Russisch) </button> </li> <li class="language-selector__item" role="presentation">  <button aria-label="Svenska (Schwedisch)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-sv_SE" data-locale="sv_SE" role="menuitem" lang="sv_SE"> Svenska (Schwedisch) </button> </li> <li class="language-selector__item" role="presentation">  <button aria-label="తెలుగు (Telugu)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-te_IN" data-locale="te_IN" role="menuitem" lang="te_IN"> తెలుగు (Telugu) </button> </li> <li class="language-selector__item" role="presentation">  <button aria-label="ภาษาไทย (Thai)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-th_TH" data-locale="th_TH" role="menuitem" lang="th_TH"> ภาษาไทย (Thai) </button> </li> <li class="language-selector__item" role="presentation">  <button aria-label="Tagalog (Tagalog)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-tl_PH" data-locale="tl_PH" role="menuitem" lang="tl_PH"> Tagalog (Tagalog) </button> </li> <li class="language-selector__item" role="presentation">  <button aria-label="Türkçe (Türkisch)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-tr_TR" data-locale="tr_TR" role="menuitem" lang="tr_TR"> Türkçe (Türkisch) </button> </li> <li class="language-selector__item" role="presentation">  <button aria-label="Українська 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focus:text-color-link-focus focus:outline-dotted focus:outline-1" aria-expanded="false" data-tracking-control-name="footer-lang-dropdown_trigger"> <span class="language-selector__label-text mr-0.5 break-words"> Sprache </span> <icon class="language-selector__label-chevron w-2 h-2 absolute top-0 right-0" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cyolgscd0imw2ldqppkrb84vo"></icon> </button> </div> </li> </ul>  </footer> </div> <code id="ugcPostUrl" style="display: none"></code> <code id="ugcPost" style="display: none"></code> <code id="disableLinkedinShareRedirectLink" style="display: none"></code> <code id="ugcPostUrn" style="display: none"></code> <code id="signInUrl" style="display: none"></code>  <div class="article-social-activity z-[201] x-social-activity-wrapper xs:sticky bottom-0 flex justify-center border-t-1 border-solid border-color-border-faint bg-color-background-container md:pr-[320px]" data-impression-id="article-ssr-frontend-x-article_x-social-details">  <div class="x-social-activity social-details x-social-activity-left flex flex-wrap w-full max-w-x-article-width-small justify-between lg:max-w-x-article-width"> <div class="flex x-social-activity-left flex-wrap"> <code id="i18n_reaction_selection_state" style="display: none"></code> <div class="reactions-menu flex flex-row relative items-center justify-center select-none [-webkit-user-select:none] pointer-events-auto" data-feed-control="article-ssr-frontend-x-article_x-social-details_like-toggle_reactions-cta"> <a class="reactions-menu__link text-color-text social-action-bar__button relative h-6 cursor-pointer w-full" href="https://www.linkedin.com/uas/login?session_redirect=%2Fadvice%2F0%2Fhow-do-you-deal-aliasing-quantization%3Flang%3Dde&trk=article-ssr-frontend-x-article_x-social-details_like-toggle_like-cta" target="_blank" data-tracking-control-name="article-ssr-frontend-x-article_x-social-details_like-toggle_reactions-cta" data-parent-urn="urn:li:ugcPost:7041802178784571392" data-tracking-will-navigate data-feed-control="article-ssr-frontend-x-article_x-social-details_like-toggle_reactions-cta">  <div class="like-button-default flex flex-row items-center "> <icon class="social-action-bar__icon" data-svg-class-name="social-action-bar__icon--svg" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/3djuegvxjnk75fm1bl5ugf342"> </icon> <span class="social-action-bar__button-text">Gefällt mir</span> </div> </a> </div> <template id="selected-reaction"> <div> <div class="selected-reaction--LIKE flex flex-row items-center"> <img class="inline-block align-middle relative w-3 h-3 mr-1 babybear:mr-0 mb-0.5" alt="Gefällt mir" aria-hidden="true" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/3tsxb73co15a9ze36f0y0vmng"> <span class="social-action-bar__button-text">Gefällt mir</span> </div> <div class="selected-reaction--PRAISE flex flex-row items-center"> <img class="inline-block align-middle relative w-3 h-3 mr-1 babybear:mr-0 mb-0.5" alt="Applaus" aria-hidden="true" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/5tec0l9hykk5gezv56e7coyow"> <span class="social-action-bar__button-text">Applaus</span> </div> <div class="selected-reaction--APPRECIATION flex flex-row items-center"> <img class="inline-block align-middle relative w-3 h-3 mr-1 babybear:mr-0 mb-0.5" alt="Unterstütze ich" aria-hidden="true" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/7savup3gmhirulv2h5v8snx2x"> <span class="social-action-bar__button-text">Unterstütze ich</span> </div> <div class="selected-reaction--EMPATHY flex flex-row items-center"> <img class="inline-block align-middle relative w-3 h-3 mr-1 babybear:mr-0 mb-0.5" alt="Wunderbar" aria-hidden="true" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/f4lj1wks3jt476fe5defirzg9"> <span class="social-action-bar__button-text">Wunderbar</span> </div> <div class="selected-reaction--INTEREST flex flex-row items-center"> <img class="inline-block align-middle relative w-3 h-3 mr-1 babybear:mr-0 mb-0.5" alt="Inspirierend" aria-hidden="true" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/br7ludovnq3n7137fvqsqwljx"> <span class="social-action-bar__button-text">Inspirierend</span> </div> <div class="selected-reaction--ENTERTAINMENT flex flex-row items-center"> <img class="inline-block align-middle relative w-3 h-3 mr-1 babybear:mr-0 mb-0.5" alt="Lustig" aria-hidden="true" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/6ga7ypv66xprsgreohwklur3y"> <span class="social-action-bar__button-text">Lustig</span> </div> </div> </template>  <code id="i18n_copy_cta_message_success" style="display: none"></code> <code id="i18n_copy_cta_message_error" style="display: none"></code> <div class="collapsible-dropdown flex items-center relative hyphens-auto social-share inline-block relative select-none x-social-share " data-share-message="Teilen" data-share-url="https://www.linkedin.com/advice/0/how-do-you-deal-aliasing-quantization?utm_source=share&utm_medium=guest_desktop" data-feed-control="article-ssr-frontend-x-article_x-social-details_social-share-intent_social-share_main_button" data-feed-action-category="EXPAND" data-feed-action-type="openShareMenu">  <ul class="collapsible-dropdown__list hidden container-raised absolute w-auto overflow-y-auto flex-col items-stretch z-1 bottom-[100%] top-auto" role="menu" tabindex="-1"> <li> <button data-tracking-control-name="article-ssr-frontend-x-article_x-social-details_social-share-intent_social-share_copy" class="social-share__item social-share-item" data-share-service="copy"> <icon class="social-share__item-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/aup4g97pdky3ff73gv9lyhjvx"></icon> <span class="social-share__item-text pl-1">Kopieren</span> </button> </li> <li> <button 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class="social-share__item social-share-item" data-share-service="twitter"> <icon class="social-share__item-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/4bmfmbwr1b97362o29qmjo1zj"></icon> <span class="social-share__item-text pl-1">Twitter</span> </button> </li>  </ul> <button aria-expanded="false" class="social-share__button social-share__button-square social-share-button social-action-bar__button social-share-button--square " aria-label data-tracking-control-name="article-ssr-frontend-x-article_x-social-details_social-share-intent_social-share_main_button"> <icon class="social-share__button-icon " data-delayed-url="https://static.licdn.com/aero-v1/sc/h/852gyy4s01pfis5qf9k99s6d2" data-svg-class-name="social-share-button-icon social-action-bar__icon--svg "></icon> <span class="social-share__button-text-square social-action-bar__button-text "> Teilen </span> </button> </div> </div> <code id="i18n_reaction_singular" style="display: none"></code> <code 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