FourierDSTMatrix

FourierDSTMatrix[n]
returns an n×n discrete sine transform matrix of type 2.

FourierDSTMatrix[n, m]
returns an n×n discrete sine transform matrix of type m.

Details and OptionsDetails and Options

  • Each entry of the discrete sine transform matrix of type m is computed as:
  • 1.DST-I
    2.DST-II
    3.DST-III
    4.DST-IV
  • The discrete sine transform matrices of types 1, 2, 3, and 4 have inverses of type 1, 3, 2, and 4, respectively. »
  • Rows of the FourierDSTMatrix are basis sequences of the discrete sine transform.
  • The result of FourierDSTMatrix[n].list is equivalent to FourierDST[list] when list has length n. However, the computation of FourierDST[list] is much faster and has less numerical error. »
  • FourierDSTMatrix[..., WorkingPrecision->p] gives a matrix with entries of precision p.
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