Mathematica > Mathematics and Algorithms > Calculus > Integral Transforms > Fourier Analysis > FourierDST
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FourierDST

FourierDST[list]
finds the Fourier discrete sine transform of a list of real numbers.

FourierDST[list, m]
finds the Fourier discrete sine transform of type .

DetailsDetails

  • Possible types of discrete sine transform for a list of length giving a result are:
  • 1.DST-I
    2.DST-II
    3.DST-III
    4.DST-IV
  • FourierDST[list] is equivalent to FourierDST[list, 2].
  • The inverse discrete sine transforms for types 1, 2, 3, 4 are types 1, 3, 2, 4, respectively.
  • The list given in FourierDST[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, FourierDST begins by applying N to them.
  • FourierDST can be used on SparseArray objects.

ExamplesExamplesopen allclose all

Basic Examples (2)Basic Examples (2)

Find a discrete sine transform:

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Find the inverse discrete sine transform:

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Find a discrete sine transform of type 1 (DST-I):

In[1]:=
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Find the inverse discrete sine transform:

In[2]:=
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Out[2]=

Scope (2)Scope (2)

Generalizations & Extensions (2)Generalizations & Extensions (2)

Applications (2)Applications (2)

Properties & Relations (3)Properties & Relations (3)

Possible Issues (1)Possible Issues (1)

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