A discrete cosine transform (DCT) expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies...
101 KB (11,972 words) - 11:01, 5 July 2025
The modified discrete cosine transform (MDCT) is a transform based on the type-IV discrete cosine transform (DCT-IV), with the additional property of being...
23 KB (3,258 words) - 10:12, 7 March 2025
data are shifted by half a sample. The DST is related to the discrete cosine transform (DCT), which is equivalent to a DFT of real and even functions...
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University of New Mexico (UNM). He is best known for inventing the discrete cosine transform (DCT) in the early 1970s. The DCT is the most widely used data...
21 KB (1,529 words) - 22:35, 23 May 2025
In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of...
76 KB (12,338 words) - 20:01, 27 June 2025
In mathematics, the Fourier sine and cosine transforms are integral equations that decompose arbitrary functions into a sum of sine waves representing...
18 KB (2,693 words) - 17:39, 18 July 2025
Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT). A Fourier transform converts...
67 KB (7,809 words) - 05:39, 1 July 2025
signal processing. The most widely used transform coding technique in this regard is the discrete cosine transform (DCT), proposed by Nasir Ahmed in 1972...
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transform Modified discrete cosine transform Discrete Hartley transform Discrete sine transform Discrete wavelet transform Hadamard transform (or, Walsh–Hadamard...
3 KB (293 words) - 16:54, 5 July 2025
\omega )|^{2}} See also the modified discrete cosine transform (MDCT), which is also a Fourier-related transform that uses overlapping windows. If only...
22 KB (4,046 words) - 13:46, 21 July 2025
of both Dolby Digital and DD+ is a modified discrete cosine transform (MDCT), which is used to transform the audio signal into the frequency domain; within...
25 KB (3,282 words) - 03:58, 8 November 2024
Fourier analysis (redirect from Relations among the continuous Fourier transform, the Fourier series, the discrete-time Fourier transform and the discrete Fourier transform)
JPEG compression uses a variant of the Fourier transformation (discrete cosine transform) of small square pieces of a digital image. The Fourier components...
38 KB (4,788 words) - 15:31, 27 April 2025
The discrete cosine transform (DCT) is the most widely used transform coding compression algorithm in digital media, followed by the discrete wavelet...
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variables. Z-transform, a generalization of the DTFT to the entire complex plane Modified discrete cosine transform (MDCT) Discrete Hartley transform (DHT) Also...
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library Boost. Chebyshev polynomials Discrete cosine transform Discrete Fourier transform List of Fourier-related transforms Trefethen, Lloyd (2013). Approximation...
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the case if some other transform, such as the more widespread discrete cosine transform, had been used. While wavelet transforms offer theoretical advantages...
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K. R. Rao (section Discrete cosine transform)
co-invention of discrete cosine transform (DCT), along with Nasir Ahmed and T. Natarajan due to their landmark publication, Discrete Cosine Transform. Rao received...
20 KB (1,258 words) - 18:49, 17 July 2025
alternatively, cosine overlapping windows. Take the logs of the powers at each of the mel frequencies. Take the discrete cosine transform of the list of...
15 KB (2,070 words) - 19:25, 10 November 2024
common digital compression artifacts are DCT blocks, caused by the discrete cosine transform (DCT) compression algorithm used in many digital media standards...
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JPEG (section Discrete cosine transform)
Photographic Experts Group created the standard in 1992, based on the discrete cosine transform (DCT) algorithm. JPEG was largely responsible for the proliferation...
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analysis, a discrete wavelet transform (DWT) is any wavelet transform for which the wavelets are discretely sampled. As with other wavelet transforms, a key...
36 KB (5,217 words) - 22:32, 16 July 2025
Discrete cosine transform (DCT), developed by Nasir Ahmed, T. Natarajan and K. R. Rao in 1974, provided the basis for the modified discrete cosine transform...
20 KB (1,817 words) - 04:56, 25 June 2025
Lossy compression (section Transform coding)
needs). The most widely used lossy compression algorithm is the discrete cosine transform (DCT), first published by Nasir Ahmed, T. Natarajan and K. R....
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XvMC onto the GPU are motion compensation (mo comp) and inverse discrete cosine transform (iDCT) for MPEG-2 video. XvMC also supports offloading decoding...
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to as "DCT-II" in the context of a family of discrete cosine transforms (see discrete cosine transform). It is generally the most efficient form of image...
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was achieved with features such as a reduced-complexity integer discrete cosine transform (integer DCT), variable block-size segmentation, and multi-picture...
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standardized video compression algorithm, most commonly based on discrete cosine transform (DCT) coding and motion compensation. A computer software or hardware...
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multidimensional Laplace transforms. Discrete cosine transform List of Fourier-related transforms List of Fourier analysis topics Multidimensional discrete convolution...
24 KB (4,602 words) - 04:59, 25 March 2025
compression techniques used in video coding standards, along with the discrete cosine transform (DCT). Most video coding standards, such as the H.26x and MPEG...
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Macroblock (section Transform blocks)
transforms, typically the discrete cosine transform (DCT). A macroblock typically consists of 16×16 samples, and is further subdivided into transform...
6 KB (721 words) - 00:53, 6 December 2024