List of Fourier-related transforms (original) (raw)
هذه قائمة بالتحويلات الخطية للوظائف المتعلقة بتحليل فورييه، وترسم مثل هذه التحويلات وظيفة لمجموعة من معاملات وظائف الأساس، حيث تكون وظائف الأساس جيبية وبالتالي تكون مترجمة بقوة في الطيف الترددي. وتم تصميم هذه التحويلات بشكل عام لتكون قابلة للعكس، ففي حالة تحويل فورييه تتوافق كل وظيفة أساسية مع مكون تردد واحد.
| Property | Value |
|---|---|
| dbo:abstract | هذه قائمة بالتحويلات الخطية للوظائف المتعلقة بتحليل فورييه، وترسم مثل هذه التحويلات وظيفة لمجموعة من معاملات وظائف الأساس، حيث تكون وظائف الأساس جيبية وبالتالي تكون مترجمة بقوة في الطيف الترددي. وتم تصميم هذه التحويلات بشكل عام لتكون قابلة للعكس، ففي حالة تحويل فورييه تتوافق كل وظيفة أساسية مع مكون تردد واحد. (ar) This is a list of linear transformations of functions related to Fourier analysis. Such transformations map a function to a set of coefficients of basis functions, where the basis functions are sinusoidal and are therefore strongly localized in the frequency spectrum. (These transforms are generally designed to be invertible.) In the case of the Fourier transform, each basis function corresponds to a single frequency component. (en) Berikut adalah sebuah daftar transformasi linear fungsi yang berhubungan dengan transformasi Fourier. Transformation ini memetakan sebuah fungsi ke sebuah set koefisien , di mana fungsi basis adalah sinusoidal dan oleh karena itu terlokalisasi kuat dalam . (Transformasi-transformasi berikut biasanya dirancang dapat di-invert). Dalam kasus transformasi Fourier, setiap fungsi basis berhubungan ke satu komponen frekuensi. * * * * Transformasi Laplace * * * dan * (untuk fungsi periodik) * (STFT) * (FRFT) (in) Esta é uma lista de transformadas relacionadas com a transformada de Fourier. Em termos gerais, essas transformadas mapeiam uma função em uma outra, , de forma tal que os valores de sejam coeficientes de funções predeterminadas de x e y, chamadas de funções base da transformada. Essas funções base possuem componentes senoidais, e são escolhidas de maneira que as transformações sejam inversíveis. Existem outras transformadas (como a de Hilbert, por exemplo) que, por usar funções base não senoidais, não são relacionadas com a de Fourier. Em aplicações de física e engenharia, a função original geralmente tem como variável independente o tempo (t), e representa um sinal que varia no tempo. A função transformada tem como variável independente a frequência real (ω) ou a frequência complexa (s), e ou ω são os componentes desse sinal em cada frequência. Em aplicações de estatística, a função original geralmente é a densidade de probabilidade de uma distribuição, e a função transformada, os dessa distribuição. O cálculo dessas transformadas é grandemente facilitado pela existência de algoritmos eficientes baseados na transformada rápida de Fourier (FFT). (pt) |
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| rdfs:comment | هذه قائمة بالتحويلات الخطية للوظائف المتعلقة بتحليل فورييه، وترسم مثل هذه التحويلات وظيفة لمجموعة من معاملات وظائف الأساس، حيث تكون وظائف الأساس جيبية وبالتالي تكون مترجمة بقوة في الطيف الترددي. وتم تصميم هذه التحويلات بشكل عام لتكون قابلة للعكس، ففي حالة تحويل فورييه تتوافق كل وظيفة أساسية مع مكون تردد واحد. (ar) This is a list of linear transformations of functions related to Fourier analysis. Such transformations map a function to a set of coefficients of basis functions, where the basis functions are sinusoidal and are therefore strongly localized in the frequency spectrum. (These transforms are generally designed to be invertible.) In the case of the Fourier transform, each basis function corresponds to a single frequency component. (en) Berikut adalah sebuah daftar transformasi linear fungsi yang berhubungan dengan transformasi Fourier. Transformation ini memetakan sebuah fungsi ke sebuah set koefisien , di mana fungsi basis adalah sinusoidal dan oleh karena itu terlokalisasi kuat dalam . (Transformasi-transformasi berikut biasanya dirancang dapat di-invert). Dalam kasus transformasi Fourier, setiap fungsi basis berhubungan ke satu komponen frekuensi. * * * * Transformasi Laplace * * * dan * (untuk fungsi periodik) * (STFT) * (FRFT) (in) Esta é uma lista de transformadas relacionadas com a transformada de Fourier. Em termos gerais, essas transformadas mapeiam uma função em uma outra, , de forma tal que os valores de sejam coeficientes de funções predeterminadas de x e y, chamadas de funções base da transformada. Essas funções base possuem componentes senoidais, e são escolhidas de maneira que as transformações sejam inversíveis. Existem outras transformadas (como a de Hilbert, por exemplo) que, por usar funções base não senoidais, não são relacionadas com a de Fourier. (pt) |
| rdfs:label | قائمة التحويلات المرتبطة بفورييه (ar) Daftar transformasi yang berhubungan dengan Fourier (in) List of Fourier-related transforms (en) Lista de transformadas relacionadas à transformada de Fourier (pt) |
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