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BUILT-IN MATHEMATICA SYMBOL
FourierDCTMatrix
FourierDCTMatrix[n]
returns an n×n discrete cosine transform matrix of type 2.
FourierDCTMatrix[n, m]
returns an n×n discrete cosine transform matrix of type m.
Details and Options
- Each entry
of the discrete cosine transform matrix of type m is computed as: -
1. DCT-I 
2. DCT-II 
3. DCT-III 
4. DCT-IV 
- The discrete cosine transform matrices of types 1, 2, 3, and 4 have inverses of type 1, 3, 2, and 4, respectively. »
- Rows of the FourierDCTMatrix are basis sequences of the discrete cosine transform.
- The result of FourierDCTMatrix[n].list is equivalent to FourierDCT[list] when list has length n. However, the computation of FourierDCT[list] is much faster and has less numerical error. »
- FourierDCTMatrix[..., WorkingPrecision->p] gives a matrix with entries of precision p.
Examplesopen all
Basic Examples (1)
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Out[1]//MatrixForm= | |
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