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 (11,974 words) - 07:10, 8 May 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...
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plus cosine waves representing the even component of the function. The modern Fourier transform concisely contains both the sine and cosine transforms. Since...
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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
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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The discrete cosine transform (DCT) is the most widely used transform coding compression algorithm in digital media, followed by the discrete wavelet...
2 KB (219 words) - 16:15, 19 October 2023
library Boost. Chebyshev polynomials Discrete cosine transform Discrete Fourier transform List of Fourier-related transforms Trefethen, Lloyd (2013). Approximation...
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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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In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of...
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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 transform, a popular implementation of the DFT Discrete cosine transform Modified discrete cosine transform Discrete Hartley transform Discrete sine...
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\omega )|^{2}} See also the modified discrete cosine transform (MDCT), which is also a Fourier-related transform that uses overlapping windows. If only...
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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...
109 KB (13,565 words) - 23:03, 7 May 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
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) - 12:55, 29 December 2024
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 (7,814 words) - 18:05, 2 May 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...
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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...
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ZPEG (section Decorrelated Transform Space)
Karhunen–Loève transform (KLT) defined by the Karhunen–Loève theorem. The discrete cosine transform (DCT) is often used as a computationally efficient transform that...
17 KB (1,910 words) - 16:25, 26 December 2024
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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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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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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the case if some other transform, such as the more widespread discrete cosine transform, had been used. Discrete wavelet transform has been successfully...
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block transform coding techniques, in particular those using the discrete cosine transform. The best known example is the modified discrete cosine transform...
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the modified discrete cosine transform (MDCT), a lossy audio compression algorithm. It is a modification of the discrete cosine transform (DCT) algorithm...
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multidimensional Laplace transforms. Discrete cosine transform List of Fourier-related transforms List of Fourier analysis topics Multidimensional discrete convolution...
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1980s with the code-excited linear prediction (CELP) algorithm. Discrete cosine transform (DCT) coding, a lossy compression method first proposed by Nasir...
24 KB (2,810 words) - 16:50, 6 March 2025