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Technique used in signal processing and data compression
A discrete cosine transform (DCT) expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies
Discrete_cosine_transform
Mathematical transform using in signal processing
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
Modified discrete cosine transform
Modified_discrete_cosine_transform
Transform in mathematics
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
Discrete_sine_transform
Fourier transform, a popular implementation of the DFT Discrete cosine transform Modified discrete cosine transform Discrete Hartley transform Discrete sine
List_of_transforms
Variant Fourier transforms
In mathematics, the Fourier sine and cosine transforms are integral equations that decompose arbitrary functions into a sum of sine waves representing
Sine_and_cosine_transforms
Indian-American electrical engineer and computer scientist (born 1940)
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
Nasir_Ahmed_(engineer)
Function in discrete mathematics
In mathematics, the discrete Fourier transform (DFT) is a discrete version of the Fourier transform that converts a finite sequence of numbers into another
Discrete_Fourier_transform
Audio codec
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
Dolby_Digital_Plus
Mathematical transform on discrete signals
The discrete cosine transform (DCT) is the most widely used transform coding compression algorithm in digital media, followed by the discrete wavelet
Discrete_transform
Discrete Fourier transform algorithm
Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT), or its inverse (IDFT), of a sequence. A Fourier transform converts
Fast_Fourier_transform
Data compression
signal processing. The most widely used transform coding technique in this regard is the discrete cosine transform (DCT), proposed by Nasir Ahmed in 1972
Transform_coding
Indian-American electrical engineer (1931 - 2021)
co-invention of discrete cosine transform (DCT), along with Nasir Ahmed and T. Natarajan due to their landmark publication, Discrete Cosine Transform. Rao received
K._R._Rao
Branch of mathematics
JPEG compression uses a variant of the Fourier transformation (discrete cosine transform) of small square pieces of a digital image. The Fourier components
Fourier_analysis
applied mathematics, a discrete Chebyshev transform (abbreviated DCT, DChT, or DTT) is an analog of the discrete Fourier transform for a function of a real
Discrete_Chebyshev_transform
block transform coding techniques, in particular those using the discrete cosine transform. The best known example is the modified discrete cosine transform
Lapped_transform
variables. Z-transform, a generalization of the DTFT to the entire complex plane Modified discrete cosine transform (MDCT) Discrete Hartley transform (DHT) Also
List of Fourier-related transforms
List_of_Fourier-related_transforms
Mathematical technique used in data compression and analysis
the case if some other transform, such as the more widespread discrete cosine transform, had been used. While wavelet transforms offer theoretical advantages
Wavelet_transform
Transform in numerical harmonic analysis
analysis, a discrete wavelet transform (DWT) is any wavelet transform for which the wavelets are discretely sampled. As with other wavelet transforms, a key
Discrete_wavelet_transform
Lossy compression method for reducing the size of digital images
Photographic Experts Group created the standard in 1992, based on the discrete cosine transform (DCT) algorithm. JPEG compression is used in a number of image
JPEG
Digitally coded format for audio signals
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
Audio_coding_format
Signal representation used in automatic speech recognition
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
Mel-frequency_cepstrum
Reduction of image size to save storage and transmission costs
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
Image_compression
Type of data compression
needs). The most widely used lossy compression algorithm is the discrete cosine transform (DCT), first published by Nasir Ahmed, T. Natarajan and K. R.
Lossy_compression
Format for digital video content
standardized video compression algorithm, most commonly based on discrete cosine transform (DCT) coding and motion compensation. A computer software or hardware
Video_coding_format
Compact encoding of digital data
Most forms of lossy compression are based on transform coding, especially the discrete cosine transform (DCT). It was first proposed in 1972 by Nasir
Data_compression
The modulated complex lapped transform (MCLT) is a lapped transform, similar to the modified discrete cosine transform, that explicitly represents the
Modulated complex lapped transform
Modulated_complex_lapped_transform
Distortion of media caused by lossy data compression
common digital compression artifacts are DCT blocks, caused by the discrete cosine transform (DCT) compression algorithm used in many digital media standards
Compression_artifact
Lossy audio compression format
coding algorithm that is part MDCT and part FFT. The discrete cosine transform (DCT), a type of transform coding for lossy compression, was proposed by Nasir
Advanced_Audio_Coding
Mathematical analysis of frequency content of signals
multidimensional Laplace transforms. Discrete cosine transform List of Fourier-related transforms List of Fourier analysis topics Multidimensional discrete convolution
Multidimensional_transform
Fourier-related transform for signals that change over time
\omega )|^{2}} See also the modified discrete cosine transform (MDCT), which is also a Fourier-related transform that uses overlapping windows. If only
Short-time_Fourier_transform
Processing unit in image and video compression formats
transforms, typically the discrete cosine transform (DCT). A macroblock typically consists of 16×16 samples, and is further subdivided into transform
Macroblock
Audio compression technologies
the modified discrete cosine transform (MDCT), a lossy audio compression algorithm. It is a modification of the discrete cosine transform (DCT) algorithm
Dolby_Digital
Platform for users to upload, share, or live stream videos on the Internet
algorithm that enabled practical video hosting and streaming is the discrete cosine transform (DCT), a lossy compression technique first proposed by Nasir Ahmed
Online_video_platform
Extension of the X video extension
XvMC onto the GPU are motion compensation (mo comp) and inverse discrete cosine transform (iDCT) for MPEG-2 video. XvMC also supports offloading decoding
X-Video_Motion_Compensation
Digital audio format
mainstream of psychoacoustic codec-development. The discrete cosine transform (DCT), a type of transform coding for lossy compression, proposed by Nasir Ahmed
MP3
Electronic manipulation of audio signals
in 1973, discrete cosine transform (DCT) coding by Nasir Ahmed, T. Natarajan and K. R. Rao in 1974, and modified discrete cosine transform (MDCT) coding
Audio_signal_processing
Device or program that encodes/decodes audio data in some bitstream format
Most modern audio compression algorithms are based on modified discrete cosine transform (MDCT) coding and linear predictive coding (LPC). In hardware
Audio_codec
Integral transform and linear operator
(red dots). A sine function is created by computing the Discrete Hilbert transform of a cosine function, which was processed in four overlapping segments
Hilbert_transform
Widely used standard for video compression
each macroblock). Integer discrete cosine transform (integer DCT), a type of discrete cosine transform (DCT) where the transform is an integer approximation
Advanced_Video_Coding
Video compression format, succeeds H.264/MPEG-4 AVC
uses the integer discrete cosine transform (DCT) with 4×4 and 8×8 block sizes, HEVC uses both integer DCT and discrete sine transform (DST) with varied
High_Efficiency_Video_Coding
Technology that records, stores, and reproduces sound
1980s with the code-excited linear prediction (CELP) algorithm. Discrete cosine transform (DCT) coding, a lossy compression method first proposed by Nasir
Digital_audio
Digital video coder/decoder
goal that involve compressing the digital video data. In 1974, discrete cosine transform (DCT) compression was introduced by Nasir Ahmed, T. Natarajan
Video_codec
Lossy audio compression applied to human speech
most widely used in VoIP applications are the LPC and modified discrete cosine transform (MDCT) techniques.[citation needed] The techniques employed in
Speech_coding
Video compression technique, used to efficiently predict and generate video frames
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
Motion_compensation
Fourier analysis technique applied to sequences
mathematics, the discrete-time Fourier transform (DTFT) is a form of Fourier analysis that is applicable to a sequence of discrete values. The DTFT is
Discrete-time Fourier transform
Discrete-time_Fourier_transform
Mathematical signal manipulation by computers
vision Control engineering Data compression Dataflow programming Discrete cosine transform Digital image processing Electrical engineering Fourier analysis
Digital_signal_processing
Fundamental trigonometric functions
In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle:
Sine_and_cosine
Video compression format
ProRes family of codecs use compression algorithms based on the discrete cosine transform (DCT). The Apple Intermediate Codec is a high-quality 8-bit 4:2:0
Apple_ProRes
Function used in signal processing
See Welch method of power spectral analysis and the modified discrete cosine transform. Two-dimensional windows are commonly used in image processing
Window_function
Mathematical transform that expresses a function of time as a function of frequency
diffusion). The Fourier transform of a Gaussian function is another Gaussian function. Joseph Fourier introduced sine and cosine transforms (which correspond
Fourier_transform
Numerical integration method
θ {\displaystyle x=\cos \theta } and use a discrete cosine transform (DCT) approximation for the cosine series. Besides having fast-converging accuracy
Clenshaw–Curtis_quadrature
Integral transform closely related to the Fourier transform
numbers) and of being its own inverse. The discrete version of the transform, the discrete Hartley transform (DHT), was introduced by Ronald N. Bracewell
Hartley_transform
Topics referred to by the same term
based calculator on Unix-derived systems DC coefficient, in a discrete cosine transform Data center, a physical location housing computing-related gear
DC
Video of higher resolution than original television
for 1080p video. Digital HDTV was enabled by the development of discrete cosine transform (DCT) video compression. The DCT is a lossy compression technique
High-definition_video
Digital representation of sampled analog signals
largely rendered obsolete by modern transform-based audio compression techniques, such as modified discrete cosine transform (MDCT) coding. Linear PCM (LPCM)
Pulse-code_modulation
Algorithmic processing of digitally-represented images
important development in digital image compression technology was the discrete cosine transform (DCT), a lossy compression technique first proposed by Nasir Ahmed
Digital_image_processing
Method of data analysis
requirements if compared, for example, and when applicable, to the discrete cosine transform, and in particular to the DCT-II which is simply known as the
Principal_component_analysis
Method of spectral density estimation
overlapping windowed Fourier transforms include: Modified discrete cosine transform Short-time Fourier transform Fast Fourier transform Power spectrum Estimation
Welch's_method
Video compression standard
8×8 discrete cosine transform for prediction differences, zig-zag scanning of transform coefficients, scalar quantization, run-length transform coefficient
H.263
Audio codec
and determined to be a variant of HE-AACv1. It uses a modified discrete cosine transform (MDCT) audio coding data compression algorithm. "Radio and WIreless:
High-Definition_Coding
Integral transform useful in probability theory, physics, and engineering
In mathematics, the Laplace transform, named after Pierre-Simon Laplace (/ləˈplɑːs/), is an integral transform that converts a function of a real variable
Laplace_transform
Overview of and topical guide to algorithms
and LZ78 DEFLATE Burrows–Wheeler transform Transform coding Discrete cosine transform Modified discrete cosine transform Vector quantization Quantization
Outline_of_algorithms
ITU-T Recommendation
a predictive transform coding algorithm called time-domain aliasing cancellation (TDAC), also known as modified discrete cosine transform (MDCT) coding
G.729
Dutch art theorist, curator and visual artist (born 03.04.1983)
Her work makes use of compression artifacts, resulting from discrete cosine transform blocks (DCT blocks), which are used in most digital media data
Rosa_Menkman
Following the introduction of the Web, several media formats based on discrete cosine transform (DCT) were introduced for practical media distribution and streaming
History_of_the_World_Wide_Web
Methods of delivering voice communications and multimedia over IP networks
are based on the linear predictive coding (LPC) and modified discrete cosine transform (MDCT) compression methods. Popular codecs include the MDCT-based
Voice_over_IP
Pictures encoded as binary data
important development in digital image compression technology was the discrete cosine transform (DCT), a lossy compression technique first proposed by Nasir Ahmed
Digital_image
Decomposition of periodic functions
uses the two-dimensional discrete cosine transform, a discrete form of the Fourier cosine transform, which uses only cosine as the basis function. For
Fourier_series
Audio codec
based on transform coding technology, using a modulated lapped transform (MLT), a type of discrete cosine transform (DCT) or modified discrete cosine transform
Siren_(codec)
Audio codec
uses spectral band replication (SBR) to enhance the modified discrete cosine transform (MDCT) compression efficiency in the frequency domain. The usage
High-Efficiency Advanced Audio Coding
High-Efficiency_Advanced_Audio_Coding
Surname list
engineering at the University of Texas and co-inventor of the discrete cosine transform K. S. Rama Rao, Telugu cinema producer Kodela Siva Prasad Rao
Rao_(Indian_surname)
Steganographic software
are made to the coefficients to make the global histogram of discrete cosine transform (DCT) coefficients match that of the decoy image, counteracting
OutGuess
Wave shaped like the sine function
of two sine waves with phases of zero and a quarter cycle, the sine and cosine components, respectively. A sine wave represents a single frequency with
Sine_wave
Linguistic subfield studying speech sound
closure instant. A G Ramakrishnan et al. showed in 2015 that the discrete cosine transform coefficients of the ILPR contains speaker information that supplements
Acoustic_phonetics
Camera used for electronic motion picture acquisition
The most important compression algorithm in this regard is the discrete cosine transform (DCT), a lossy compression technique that was first proposed in
Video_camera
Image compression standard and coding system
original JPEG standard (created in 1992), which is based on a discrete cosine transform (DCT), with a newly designed, wavelet-based method. The standardized
JPEG_2000
Artificial production of human speech
techniques such as pitch modification in the source domain using discrete cosine transform. Diphone synthesis suffers from the sonic glitches of concatenative
Speech_synthesis
Mathematical function used in signal processing
It is also known as the raised cosine window, Hann filter, von Hann window, Hanning window, etc. The Fourier transform of w 0 ( x ) {\displaystyle w_{0}(x)}
Hann_function
Video coding format
unconventional discrete cosine transform with overlapping blocks. This reduces the blocking artifacts characteristic of other video codecs that use the discrete cosine
Daala
Foundation model allowing control of robot actions
compression approach that transform continuous tokens from time domain to frequency domain using discrete cosine transform. Helix, unveiled in February
Vision–language–action_model
Messaging and VoIP service owned by Meta
population. WhatsApp's voice codec is Opus, which uses the modified discrete cosine transform (MDCT) and linear predictive coding (LPC) audio compression algorithms
TV resolution standard
1988 and 1991, several European organizations were working on discrete cosine transform (DCT) based digital video coding standards for both SDTV and HDTV
High-definition_television
Field of telecommunication services
audio data compression method, a discrete cosine transform (DCT) algorithm called the modified discrete cosine transform (MDCT), has been widely adopted
Telephony
Digital audio compression artifact
cymbals. It occurs in transform-based audio compression algorithms – typically based on the modified discrete cosine transform (MDCT) – such as MP3, MPEG-4
Pre-echo
Filter in electronics and signal processing
conditions. The general FFT-filtering may be sped up by employing a discrete cosine transform or similar. Due to the central limit theorem (from statistics)
Gaussian_filter
Data compression approach allowing perfect reconstruction of the original data
reversible integer wavelet transform) JPEG-LS JPEG XL JPEG XR – formerly WMPhoto and HD Photo LDCT – Discrete Cosine Transform PCX – PiCture eXchange QOI
Lossless_compression
Massey the following year. In 1972, Nasir Ahmed proposes the discrete cosine transform (DCT). It later becomes the most widely used lossy compression
History_of_information_theory
Video compression standard
of fractional-sample motion vector precision. Transform coding using an 8×8 discrete cosine transform (DCT) reduces the spatial redundancy. The DCT that
H.261
improvement of Reed–Solomon codes 1972 – Nasir Ahmed proposes the discrete cosine transform (DCT), which he develops with T. Natarajan and K. R. Rao in 1973;
Timeline of information theory
Timeline_of_information_theory
Embedded Zerotree Wavelet (EZW) Fast Cosine Transform algorithms (FCT algorithms): computes Discrete Cosine Transform (DCT) efficiently Fractal compression:
List_of_algorithms
Speech codec used by CDMA networks
was completed at the summer of 2007. EVRC-WB uses a modified discrete cosine transform (MDCT) audio coding algorithm. EVRC-B can be also used in 3GPP2
Enhanced Variable Rate Codec B
Enhanced_Variable_Rate_Codec_B
Mathematical operation
1145/317275.317284. Knockaert, Luc (2000). "Fast Hankel transform by fast sine and cosine transforms: the Mellin connection". IEEE Trans. Signal Process.
Hankel_transform
consists of two parts: grid based representative color selection and discrete cosine transform with quantization. Color is the most basic quality of the visual
Color_layout_descriptor
Bitmap image file format family
Format") is an image file format, finalized in 2015, which uses a discrete cosine transform (DCT) lossy compression algorithm based on the HEVC video format
GIF
Magnetic tape-based videocassette format for HD video
version of Digital Betacam introduced in 1997 that uses an 8-bit discrete cosine transform (DCT) compressed 3:1:1 recording, in 1080i-compatible down-sampled
HDCAM
Video compression format
family of encoders. It uses block-wise motion compensation and a discrete cosine transform (DCT), similar to previous encoders such as MPEG-1 Part 2 and
MPEG-4_Part_2
Royalty-free lossy audio encoding format
forward-adaptive monolithic transform codec based on the modified discrete cosine transform (MDCT). Vorbis uses the modified discrete cosine transform for converting
Vorbis
Topics referred to by the same term
Dopachrome tautomerase, a human gene Discrete cosine transform, a mathematical transform related to the Fourier transform and widely used in digital data compression
DCT
Topics referred to by the same term
aliasing cancellation, the underlying principle of the modified discrete cosine transform (MDCT) Tycho Data Analysis Consortium, that worked on the Hipparcos
TDAC
Interpolation with trigonometric polynomials
Clairaut in 1754. In this case the solution is equivalent to a discrete cosine transform. The sine-only expansion for equally spaced points, corresponding
Trigonometric_interpolation
travel, tourism, insurance
DISCRETE COSINE-TRANSFORM
DISCRETE COSINE-TRANSFORM
Surname or Lastname
English
English : variant of Cousins.
Female
English
Pet form of English/French Constance, CONNIE means "steadfast."
Female
French
French form of Latin Corinna, CORINNE means "maiden."
Female
English
English variant spelling of French Corinne, CORRINE means "maiden."
Female
English
Variant spelling of English Colleen, COLENE means "girl."
Girl/Female
Australian, Vietnamese
Discreet Grace
Female
English
Variant spelling of English Doreen, DORINE means "gift."Â
Female
French
Variant spelling of French Corinne, CORINE means "maiden."
Surname or Lastname
English
English : patronymic from the nickname Cousin.
Boy/Male
Muslim/Islamic
Discreet prudent
Male
Romanian
Contracted form of Romanian Constantin, COSTIN means "steadfast."
Female
Romanian
Feminine form of Romanian Cosmin, COSMINA means "order, beauty."
Female
English
Variant spelling of English Careen, CARINE means "beloved" or "friend."Â
Female
Greek
(Ζώσιμη) Feminine form of Greek Zosimos, ZOSIME means "likely to survive; survivor."
Female
Italian
Italian pet form of Latin Rosa, ROSINA means "rose."
Male
Romanian
Romanian form of Greek Kosmos, COSMIN means "order, beauty."
Female
English
Variant spelling of English Colleen, COLINE means "girl."
Female
Italian
Feminine form of Italian Cosimo, COSIMA means "order, beauty."
Female
French
French pet form of Latin Rosa, ROSINE means "rose."
Male
Italian
Italian form of Latin Cosmo, COSIMO means "order, beauty."
DISCRETE COSINE-TRANSFORM
DISCRETE COSINE-TRANSFORM
DISCRETE COSINE-TRANSFORM
DISCRETE COSINE-TRANSFORM
DISCRETE COSINE-TRANSFORM
DISCRETE COSINE-TRANSFORM
DISCRETE COSINE-TRANSFORM
travel, tourism, insurance