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    Discrete cosine transform - Wikipedia

    https://en.wikipedia.org/wiki/Discrete_cosine_transform

    A discrete cosine transform (DCT) expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies. The DCT, first proposed by Nasir Ahmed in 1972, is a widely used transformation technique in signal processing and data compression. It is used in

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    The discrete cosine transform (DCT) was first conceived by Nasir Ahmed, while working at Kansas State University, and he proposed the concept to the National Science Foundation in 1972. He originally intended DCT for

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    The DCT is the most widely used transformation technique in signal processing, and by far the most widely used linear transform in

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    Like any Fourier-related transform, discrete cosine transforms (DCTs) express a function or a signal in terms of a sum of sinusoids with different frequencies and amplitudes. Like the discrete Fourier transform(DFT), a DCT operates on a function at a finite number

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    Formally, the discrete cosine transform is a linear, invertible function (where denotes the set of real numbers), or equivalently an invertible N × N

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    Multidimensional variants of the various DCT types follow straightforwardly from the one-dimensional definitions: they are simply a separable product (equivalently, a composition) of DCTs

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    Although the direct application of these formulas would require operations, it is possible to compute the same thing with only complexity by factorizing the computation similarly to

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    Using the normalization conventions above, the inverse of DCT-I is DCT-I multiplied by 2/(N − 1). The inverse of DCT-IV is DCT-IV

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  2. Discrete cosine transform - Simple English Wikipedia, the ...

    https://simple.wikipedia.org/wiki/Discrete_cosine_transform

    28/03/2008 · A discrete cosine transform is a math process that can be used to make things like MP3s, and JPEGs smaller. It does this by breaking the sound or picture into different frequencies . One way to calculate a discrete cosine transform is to use the Fourier transformation .

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    • Discrete cosine transform - Wikipedia, the free encyclopedia

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      A discrete cosine transform (DCT) expresses a sequence of finitely many data points in terms of a sum of cosine functions oscillating at different frequencies. DCTs are important to numerous applications in science and engineering, from lossy compression of audio and images (where small high-frequency components can be discarded), to spectral methods for the numerical …

    • Transformée en cosinus discrète — Wikipédia

      https://fr.wikipedia.org/wiki/Transformée_en_cosinus_discrète

      La transformée en cosinus discrète ou TCD (de l'anglais : DCT ou Discrete Cosine Transform) est une transformation proche de la transformée de Fourier discrète(DFT). Le noyau de projection est un cosinus et crée donc des coefficients réels, contrairement à la DFT, dont le noyau est une exponentielle complexe et qui crée donc des coefficients complexes. On peut cependant ex…

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    • Diskrete Kosinustransformation – Wikipedia

      https://de.wikipedia.org/wiki/Diskrete_Kosinustransformation
      • Die diskrete Kosinustransformation zählt zu den reellwertigen, diskreten, linearen, orthogonalen Transformationen, die ähnlich der diskreten Fouriertransformation (DFT) ein zeitdiskretes Signal von dem Zeitbereich (bei Zeitsignalen) oder dem Ortsbereich (bei räumlichen Signalen) in den Frequenzbereichtransformiert. Audio- und Videosignale weisen typischerweise im unteren Spek…
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      • Discrete cosine transform - Wikipedia - Main Page - xcv.wiki

        https://fr.abcdef.wiki/wiki/Discrete_cosine_transform

        Discrete cosine transform. Un article de Wikipédia, l'encyclopédie libre. Technique représentant les données sous forme de sommes de fonctions cosinus. Une transformée en cosinus discrète ( DCT ) exprime une séquence finie de points de données en termes de somme de fonctions cosinus oscillant à différentes fréquences .

      • Trasformata discreta del coseno - Wikipedia

        https://it.wikipedia.org/wiki/Trasformata_discreta_del_coseno

        La trasformata discreta del coseno o DCT (dall'inglese Discrete Cosine Transform), è la più diffusa funzione che provvede alla compressione spaziale, capace di rilevare le variazioni di informazione tra un'area e quella contigua di un'immagine digitale trascurando le ripetizioni; la funzione che supporta la compressione temporale è affidata invece ad un apposito "vettore …

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        • Discrete cosine transform - WikiMili, The Best Wikipedia ...

          https://wikimili.com/en/Discrete_cosine_transform

          A discrete cosine transform (DCT) expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies. The DCT, first proposed by Nasir Ahmed in 1972, is a widely used transformation technique in signal processing and data compression .

        • Discrete sine transform - Wikipedia

          https://en.wikipedia.org/wiki/Discrete_sine_transform
          • A family of transforms composed of sine and sine hyperbolic functions exists. These transforms are made based on the natural vibration of thin square plates with different boundary conditions. The DST is related to the discrete cosine transform, which is equivalent to a DFT of real and even functions. See the DCT article for a general discussion of how the boundary conditions relate th…
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          • Wikipedia

            https://www.wikipedia.org/?title=Discrete cosine transform

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