Wolfram Language Paclet Repository

Community-contributed installable additions to the Wolfram Language

Primary Navigation

    • Cloud & Deployment
    • Core Language & Structure
    • Data Manipulation & Analysis
    • Engineering Data & Computation
    • External Interfaces & Connections
    • Financial Data & Computation
    • Geographic Data & Computation
    • Geometry
    • Graphs & Networks
    • Higher Mathematical Computation
    • Images
    • Knowledge Representation & Natural Language
    • Machine Learning
    • Notebook Documents & Presentation
    • Scientific and Medical Data & Computation
    • Social, Cultural & Linguistic Data
    • Strings & Text
    • Symbolic & Numeric Computation
    • System Operation & Setup
    • Time-Related Computation
    • User Interface Construction
    • Visualization & Graphics
    • Random Paclet
    • Alphabetical List
  • Using Paclets
    • Get Started
    • Download Definition Notebook
  • Learn More about Wolfram Language

ExternalFunctions

Guides

  • Astronomy
  • Chemistry
  • External Functions
  • Machine Learning
  • Mathematics
  • Text Processing

Symbols

  • AcentricFactor
  • BirchClusterPredict
  • CaliforniaHousing
  • CelebrityFaceImageSynthesize
  • Degrees
  • DiscreteCosineTransform
  • DiscreteSineTransform
  • FashionPersonImageSynthesize
  • FastFourierTransform
  • ForestCoverTypes
  • InverseDiscreteCosineTransform
  • InverseDiscreteSineTransform
  • InverseFastFourierTransform
  • KeplerLightCurves
  • KhatriRaoProduct
  • KroghInterpolation
  • LeeKeslerOmega
  • LoadExternalFunction
  • MatrixBandwidth
  • NewtonCotes
  • OlivettiFaces
  • Radians
  • StielPolarFactor
  • TextWrap
  • UnicodeLookup
  • UnicodeName
ArnoudBuzing`ExternalFunctions`
DiscreteCosineTransform
​
DiscreteCosineTransform[list]
computes the discrete cosine transform of
list
.
​
Details and Options

Examples  
(1)
Basic Examples  
(1)
Compute a discrete cosine transform:
In[1]:=
list={1,2,3};​​dst=
DiscreteCosineTransform
[list]
Out[1]=
{12.,-3.4641,4.44089×
-16
10
}
Compare to
FourierDCT
:
In[2]:=
n=Length[list];​​2Sqrt[n]FourierDCT[list]
Out[2]=
{12.,-3.4641,-5.76889×
-16
10
}
SeeAlso
FourierDCT
RelatedGuides
▪
External Functions
▪
Mathematics
RelatedLinks
▪
Pauli Virtanen, Ralf Gommers, Travis E. Oliphant, Matt Haberland, Tyler Reddy, David Cournapeau, Evgeni Burovski, Pearu Peterson, Warren Weckesser, Jonathan Bright, Stéfan J. van der Walt, Matthew Brett, Joshua Wilson, K. Jarrod Millman, Nikolay Mayorov, Andrew R. J. Nelson, Eric Jones, Robert Kern, Eric Larson, CJ Carey, İlhan Polat, Yu Feng, Eric W. Moore, Jake VanderPlas, Denis Laxalde, Josef Perktold, Robert Cimrman, Ian Henriksen, E.A. Quintero, Charles R Harris, Anne M. Archibald, Antônio H. Ribeiro, Fabian Pedregosa, Paul van Mulbregt, and SciPy 1.0 Contributors. (2020) SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python. Nature Methods, 17(3), 261-272.
""

© 2025 Wolfram. All rights reserved.

  • Legal & Privacy Policy
  • Contact Us
  • WolframAlpha.com
  • WolframCloud.com