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- Discrete_cosine_transform abstract "A discrete cosine transform (DCT) expresses a finite sequence of 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 (e.g. MP3) and images (e.g. JPEG) (where small high-frequency components can be discarded), to spectral methods for the numerical solution of partial differential equations. The use of cosine rather than sine functions is critical in these applications: for compression, it turns out that cosine functions are much more efficient (as described below, fewer functions are needed to approximate a typical signal), whereas for differential equations the cosines express a particular choice of boundary conditions.In particular, a DCT is a Fourier-related transform similar to the discrete Fourier transform (DFT), but using only real numbers. DCTs are equivalent to DFTs of roughly twice the length, operating on real data with even symmetry (since the Fourier transform of a real and even function is real and even), where in some variants the input and/or output data are shifted by half a sample. There are eight standard DCT variants, of which four are common.The most common variant of discrete cosine transform is the type-II DCT, which is often called simply "the DCT", its inverse, the type-III DCT, is correspondingly often called simply "the inverse DCT" or "the IDCT". Two related transforms are the discrete sine transform (DST), which is equivalent to a DFT of real and odd functions, and the modified discrete cosine transform (MDCT), which is based on a DCT of overlapping data.".
- Discrete_cosine_transform thumbnail Example_dft_dct.svg?width=300.
- Discrete_cosine_transform wikiPageExternalLink pg=624.
- Discrete_cosine_transform wikiPageExternalLink 184410889..
- Discrete_cosine_transform wikiPageExternalLink summary.php?id=e71-e_11_1095.
- Discrete_cosine_transform wikiPageExternalLink DCT_TR802.pdf.
- Discrete_cosine_transform wikiPageExternalLink www.fftw.org.
- Discrete_cosine_transform wikiPageExternalLink IDCT.
- Discrete_cosine_transform wikiPageID "59962".
- Discrete_cosine_transform wikiPageRevisionID "606387002".
- Discrete_cosine_transform hasPhotoCollection Discrete_cosine_transform.
- Discrete_cosine_transform id "1469".
- Discrete_cosine_transform title "discrete cosine transform".
- Discrete_cosine_transform subject Category:Digital_signal_processing.
- Discrete_cosine_transform subject Category:Discrete_transforms.
- Discrete_cosine_transform subject Category:Fourier_analysis.
- Discrete_cosine_transform comment "A discrete cosine transform (DCT) expresses a finite sequence of 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 (e.g. MP3) and images (e.g. JPEG) (where small high-frequency components can be discarded), to spectral methods for the numerical solution of partial differential equations.".
- Discrete_cosine_transform label "Discrete cosine transform".
- Discrete_cosine_transform label "Discrete cosinustransformatie".
- Discrete_cosine_transform label "Diskrete Kosinustransformation".
- Discrete_cosine_transform label "Dyskretna transformacja kosinusowa".
- Discrete_cosine_transform label "Transformada de coseno discreta".
- Discrete_cosine_transform label "Transformada discreta de cosseno".
- Discrete_cosine_transform label "Transformée en cosinus discrète".
- Discrete_cosine_transform label "Trasformata discreta del coseno".
- Discrete_cosine_transform label "Дискретное косинусное преобразование".
- Discrete_cosine_transform label "تحويل جيب التمام المتقطع".
- Discrete_cosine_transform label "离散余弦变换".
- Discrete_cosine_transform label "離散コサイン変換".
- Discrete_cosine_transform sameAs Diskrétní_kosinová_transformace.
- Discrete_cosine_transform sameAs Diskrete_Kosinustransformation.
- Discrete_cosine_transform sameAs Transformada_de_coseno_discreta.
- Discrete_cosine_transform sameAs Kosinuaren_transformatu_diskretu.
- Discrete_cosine_transform sameAs Transformée_en_cosinus_discrète.
- Discrete_cosine_transform sameAs Trasformata_discreta_del_coseno.
- Discrete_cosine_transform sameAs 離散コサイン変換.
- Discrete_cosine_transform sameAs 이산_코사인_변환.
- Discrete_cosine_transform sameAs Discrete_cosinustransformatie.
- Discrete_cosine_transform sameAs Dyskretna_transformacja_kosinusowa.
- Discrete_cosine_transform sameAs Transformada_discreta_de_cosseno.
- Discrete_cosine_transform sameAs m.0g9z9.
- Discrete_cosine_transform sameAs Q2877.
- Discrete_cosine_transform sameAs Q2877.
- Discrete_cosine_transform wasDerivedFrom Discrete_cosine_transform?oldid=606387002.
- Discrete_cosine_transform depiction Example_dft_dct.svg.
- Discrete_cosine_transform isPrimaryTopicOf Discrete_cosine_transform.