discrete sine transform
The orthonormal variants of the DST, where is the original vector of real numbers, is the transformed vector of real numbers and is the Kronecker delta, are defined by the following equations:
The DST-I is its own inverse.
The inverse of DST-II is DST-III.
The inverse of DST-III is DST-II.
The DST-IV is its own inverse.
The DST-V is its own inverse.
The inverse of DST-VI is DST-VII.
The inverse of DST-VII is DST-VI.
The DST-VIII is its own inverse.
2 Two-dimensional DST
The DST in two dimensions is simply the one-dimensional transform computed in each row and each column. For example, the DST-II of a matrix is given by
- 1 Xuancheng Shao, Steven G. Johnson. Type-II/III DCT/DST algorithms with reduced number of arithmetic operations. 2007.
- 2 Markus Päuschel, José M. F. Mouray. The algebraic approach to the discrete cosine and sine transforms and their fast algorithms. 2006.
- 3 Z. Wang and B. Hunt, The Discrete W Transform, Applied Mathematics and Computation, 16. 1985.
|Title||discrete sine transform|
|Date of creation||2013-03-22 17:23:45|
|Last modified on||2013-03-22 17:23:45|
|Last modified by||stitch (17269)|
|Synonym||discrete trigonometric transforms|