Fast Discrete Sine Transform
DOI:
https://doi.org/10.34767/SIMIS.2010.02.07Keywords:
Transformata sinusowa, transformata dyskretna, DSTAbstract
The aim of this work is to present a fast calculation method for DST-IV and inverse transform, whose complexity is
O(n*lgn) with regard to multiplication count. DST-IV was chosen due to lack of attractive dependencies in the matrix describing the transformation. Most works (both Polish and foreign [1,2,3]) elucidating effective methods of producing graphs describing the calculation process are based on DST-II/DST-III, whose analysis is by far less complicated. The proposed method will be presented in a mathematical form.
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