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» A Polymorphic Radix- n Framework for Fast Fourier Transforms
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ERSHOV
2003
Springer
14 years 4 months ago
A Polymorphic Radix- n Framework for Fast Fourier Transforms
We provide a polymorphic framework for radix-n Fast Fourier Transforms (FFTs) where all known kinds of monomoporhic radix-n algorithms can be obtained by specialization. The framew...
Marcin Zalewski, Sibylle Schupp
ICESS
2004
Springer
14 years 4 months ago
Relating FFTW and Split-Radix
Recent work showed that staging and abstract interpretation can be used to derive correct families of combinatorial circuits, and illustrated this technique with an in-depth analys...
Oleg Kiselyov, Walid Taha
CORR
2007
Springer
93views Education» more  CORR 2007»
13 years 11 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
CORR
2007
Springer
79views Education» more  CORR 2007»
13 years 11 months ago
Type-II/III DCT/DST algorithms with reduced number of arithmetic operations
We present algorithms for the discrete cosine transform (DCT) and discrete sine transform (DST), of types II and III, that achieve a lower count of real multiplications and additi...
Xuancheng Shao, Steven G. Johnson
JCP
2007
104views more  JCP 2007»
13 years 10 months ago
Cyclic Convolution Algorithm Formulations Using Polynomial Transform Theory
— This work presents a mathematical framework for the development of efficient algorithms for cyclic convolution computations. The framework is based on the Chinese Reminder Theo...
Abraham H. Diaz-Perez, Domingo Rodríguez