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FourierDCT
FourierDCT
[
list
]
finds the Fourier discrete cosine transform of a list of real numbers.
FourierDCT
[
list
,
m
]
finds the Fourier discrete cosine transform of type
.
MORE INFORMATION
Possible types
of discrete cosine transform for a list
of length
giving a result
are:
1.
DCT-I
2.
DCT-II
3.
DCT-III
4.
DCT-IV
FourierDCT
[
list
]
is equivalent to
FourierDCT
[
list
, 2]
.
The inverse discrete cosine transforms for types 1, 2, 3, 4 are types 1, 3, 2, 4, respectively.
The
list
given in
FourierDCT
[
list
]
can be nested to represent an array of data in any number of dimensions.
The array of data must be rectangular.
If the elements of
list
are exact numbers,
FourierDCT
begins by applying
N
to them.
FourierDCT
can be used on
SparseArray
objects.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Find a discrete cosine transform:
In[1]:=
Out[1]=
Find the inverse discrete cosine transform:
In[2]:=
Out[2]=
Find a discrete cosine transform of type 1 (DCT-I):
In[1]:=
Out[1]=
Find the inverse discrete cosine transform:
In[2]:=
Out[2]=
Scope
(2)
Generalizations & Extensions
(2)
Applications
(3)
Properties & Relations
(3)
Possible Issues
(1)
SEE ALSO
FourierDST
Fourier
FourierCosTransform
TUTORIALS
Discrete Fourier Transforms
MORE ABOUT
Image Processing
Integral Transforms
Signal Processing
New in 6.0: Numerical Data Handling
New in 6
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