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CORR
2007
Springer
93views Education» more  CORR 2007»
13 years 9 months ago
Type-IV DCT, DST, and MDCT algorithms with reduced numbers of arithmetic operations
We present algorithms for the type-IV discrete cosine transform (DCT-IV) and discrete sine transform (DST-IV), as well as for the modified discrete cosine transform (MDCT) and it...
Xuancheng Shao, Steven G. Johnson
ISCAS
2007
IEEE
95views Hardware» more  ISCAS 2007»
14 years 4 months ago
A Universal Approach to Developing Fast Algorithm for Simplified Order-16 ICT
—Simplified order-16 Integer Cosine Transform (ICT) has been proved to be an efficient coding tool especially for High-Definition (HD) video coding and is much simpler than ICT a...
Jie Dong, King Ngi Ngan, Chi-Keung Fong, Wai-kuen ...
BILDMED
2008
124views Algorithms» more  BILDMED 2008»
13 years 11 months ago
Non-equispaced Fourier Transform Vs. Polynomial-Based Metal Artifact Reduction in Computed Tomography
We propose a method, which treats metal artifact reduction in CT by sinogram restoration as a problem of scattered data interpolation. Corrupted sinogram entries are discarded and ...
Bärbel Kratz, Tobias Knopp, Jan Müller 0...
ISMVL
2002
IEEE
84views Hardware» more  ISMVL 2002»
14 years 2 months ago
The Role of Super-Fast Transforms in Speeding Up Quantum Computations
We present the role that spectral methods play in the development of the most impressive quantum algorithms, such as the polynomial time number factoring algorithm by Shor. While ...
Zeljko Zilic, Katarzyna Radecka

Book
4675views
15 years 7 months ago
Mathematics of The Discrete Fourier Transform (DFT) with Audio Applications
"The Discrete Fourier Transform (DFT) can be understood as a numerical approximation to the Fourier transform. However, the DFT has its own exact Fourier theory, which is the ...
Julius O. Smith III