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- Discrete_Fourier_transform abstract "In mathematics, the discrete Fourier transform (DFT) converts a finite list of equally spaced samples of a function into the list of coefficients of a finite combination of complex sinusoids, ordered by their frequencies, that has those same sample values. It can be said to convert the sampled function from its original domain (often time or position along a line) to the frequency domain.The input samples are complex numbers (in practice, usually real numbers), and the output coefficients are complex as well. The frequencies of the output sinusoids are integer multiples of a fundamental frequency, whose corresponding period is the length of the sampling interval. The combination of sinusoids obtained through the DFT is therefore periodic with that same period. The DFT differs from the discrete-time Fourier transform (DTFT) in that its input and output sequences are both finite; it is therefore said to be the Fourier analysis of finite-domain (or periodic) discrete-time functions. The DFT is the most important discrete transform, used to perform Fourier analysis in many practical applications. In digital signal processing, the function is any quantity or signal that varies over time, such as the pressure of a sound wave, a radio signal, or daily temperature readings, sampled over a finite time interval (often defined by a window function). In image processing, the samples can be the values of pixels along a row or column of a raster image. The DFT is also used to efficiently solve partial differential equations, and to perform other operations such as convolutions or multiplying large integers. Since it deals with a finite amount of data, it can be implemented in computers by numerical algorithms or even dedicated hardware. These implementations usually employ efficient fast Fourier transform (FFT) algorithms; so much so that the terms "FFT" and "DFT" are often used interchangeably. Prior to its current usage, the "FFT" initialism may have also been used for the ambiguous term finite Fourier transform.".
- Discrete_Fourier_transform thumbnail From_Continuous_To_Discrete_Fourier_Transform.gif?width=300.
- Discrete_Fourier_transform wikiPageExternalLink mdft.html.
- Discrete_Fourier_transform wikiPageExternalLink blofeld-wavetable-cooker.
- Discrete_Fourier_transform wikiPageExternalLink explained-fourier.html.
- Discrete_Fourier_transform wikiPageExternalLink dft-a-pied.
- Discrete_Fourier_transform wikiPageExternalLink 1.htm.
- Discrete_Fourier_transform wikiPageExternalLink www.fftw.org.
- Discrete_Fourier_transform wikiPageExternalLink DFT_tutorial.html.
- Discrete_Fourier_transform wikiPageExternalLink doku.php?id=tutorial:the_discrete_fourier_transformation_dft.
- Discrete_Fourier_transform wikiPageID "8811".
- Discrete_Fourier_transform wikiPageRevisionID "606505322".
- Discrete_Fourier_transform hasPhotoCollection Discrete_Fourier_transform.
- Discrete_Fourier_transform subject Category:Digital_signal_processing.
- Discrete_Fourier_transform subject Category:Discrete_transforms.
- Discrete_Fourier_transform subject Category:Fourier_analysis.
- Discrete_Fourier_transform subject Category:Numerical_analysis.
- Discrete_Fourier_transform subject Category:Unitary_operators.
- Discrete_Fourier_transform type Abstraction100002137.
- Discrete_Fourier_transform type Function113783816.
- Discrete_Fourier_transform type MathematicalRelation113783581.
- Discrete_Fourier_transform type Operator113786413.
- Discrete_Fourier_transform type Relation100031921.
- Discrete_Fourier_transform type UnitaryOperators.
- Discrete_Fourier_transform comment "In mathematics, the discrete Fourier transform (DFT) converts a finite list of equally spaced samples of a function into the list of coefficients of a finite combination of complex sinusoids, ordered by their frequencies, that has those same sample values.".
- Discrete_Fourier_transform label "Discrete Fourier transform".
- Discrete_Fourier_transform label "Discrete fouriertransformatie".
- Discrete_Fourier_transform label "Diskrete Fourier-Transformation".
- Discrete_Fourier_transform label "Dyskretna transformata Fouriera".
- Discrete_Fourier_transform label "Transformada de Fourier discreta".
- Discrete_Fourier_transform label "Transformée de Fourier discrète".
- Discrete_Fourier_transform label "Trasformata discreta di Fourier".
- Discrete_Fourier_transform label "Дискретное преобразование Фурье".
- Discrete_Fourier_transform label "تحويل فوريي المنقطع".
- Discrete_Fourier_transform label "离散傅里叶变换".
- Discrete_Fourier_transform label "離散フーリエ変換".
- Discrete_Fourier_transform sameAs Diskrete_Fourier-Transformation.
- Discrete_Fourier_transform sameAs Transformada_de_Fourier_discreta.
- Discrete_Fourier_transform sameAs Transformée_de_Fourier_discrète.
- Discrete_Fourier_transform sameAs Transformasi_Fourier_diskrit.
- Discrete_Fourier_transform sameAs Trasformata_discreta_di_Fourier.
- Discrete_Fourier_transform sameAs 離散フーリエ変換.
- Discrete_Fourier_transform sameAs 이산_푸리에_변환.
- Discrete_Fourier_transform sameAs Discrete_fouriertransformatie.
- Discrete_Fourier_transform sameAs Dyskretna_transformata_Fouriera.
- Discrete_Fourier_transform sameAs m.02frp.
- Discrete_Fourier_transform sameAs Q2878.
- Discrete_Fourier_transform sameAs Q2878.
- Discrete_Fourier_transform sameAs Discrete_Fourier_transform.
- Discrete_Fourier_transform wasDerivedFrom Discrete_Fourier_transform?oldid=606505322.
- Discrete_Fourier_transform depiction From_Continuous_To_Discrete_Fourier_Transform.gif.
- Discrete_Fourier_transform isPrimaryTopicOf Discrete_Fourier_transform.
