Algorithmic Tricks for Reducing the Complexity of FDWT/IDWT Basic Operations Implementation
Автор: Aleksandr Cariow, Galina Cariowa
Журнал: International Journal of Image, Graphics and Signal Processing(IJIGSP) @ijigsp
Статья в выпуске: 10 vol.6, 2014 года.
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In this paper two different approaches to the rationalization of FDWT and IDWT basic operations execution with the reduced number of multiplications are considered. With regard to the well-known approaches, the direct implementation of the above operations requires 2L multiplications for the execution of FDWT and IDWT basic operation plus 2(L-1) additions for FDWT basic operation and L additions for IDWT basic operation. At the same time, the first approach allows the design of the computation procedures, which take only 1,5L multiplications plus 3,5L+1 additions for FDWT basic operation and L+1 multiplications plus 3,5L additions for IDWT basic operation. The other approach allows the design of such computation procedures, which require 1,5L multiplications, plus 2L-1 addition for FDWT basic operation and L+1 addition for IDWT basic operation.
Discrete wavelet transform, fast algorithms, matrix notation
Короткий адрес: https://sciup.org/15013434
IDR: 15013434
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