-
1
-
-
0031636309
-
FFTW: An adaptive software architecture for the FFT
-
M. Frigo and S. G. Johnson, "FFTW: An adaptive software architecture for the FFT," in Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), 1998, vol. 3, pp. 1381-1384.
-
(1998)
Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP)
, vol.3
, pp. 1381-1384
-
-
Frigo, M.1
Johnson, S.G.2
-
2
-
-
20744449792
-
The design and implementation of FFTW3
-
Feb
-
M. Frigo and S. G. Johnson, "The design and implementation of FFTW3," Proc. IEEE (Special Issue on Program Generation, Optimization, and Adaptation), vol. 93, no. 2, pp. 216-231, Feb, 2005.
-
(2005)
Proc. IEEE (Special Issue on Program Generation, Optimization, and Adaptation)
, vol.93
, Issue.2
, pp. 216-231
-
-
Frigo, M.1
Johnson, S.G.2
-
3
-
-
19344368072
-
SPIRAL: Code generation for DSP transforms
-
Feb
-
M. Püschel, J. M. F. Moura, J. Johnson, D. Padua, M. Veloso, B. W. Singer, J. Xiong, F. Franchetti, A. Gačić, Y. Voronenko, K. Chen, R. W. Johnson, and N. Rizzolo, "SPIRAL: Code generation for DSP transforms," Proc. IEEE (Special Issue on Program Generation, Optimization, and Adaptation), vol. 93, no. 2, pp. 232-275, Feb. 2005.
-
(2005)
Proc. IEEE (Special Issue on Program Generation, Optimization, and Adaptation)
, vol.93
, Issue.2
, pp. 232-275
-
-
Püschel, M.1
Moura, J.M.F.2
Johnson, J.3
Padua, D.4
Veloso, M.5
Singer, B.W.6
Xiong, J.7
Franchetti, F.8
Gačić, A.9
Voronenko, Y.10
Chen, K.11
Johnson, R.W.12
Rizzolo, N.13
-
5
-
-
34548244593
-
FFT program generation for shared memory: SMP and multicore
-
New York, ACM
-
F. Franchetti, Y. Voronenko, and M. Püschel, "FFT program generation for shared memory: SMP and multicore," in Proc. Supercomputing (SC) New York, 2006, ACM.
-
(2006)
Proc. Supercomputing (SC)
-
-
Franchetti, F.1
Voronenko, Y.2
Püschel, M.3
-
6
-
-
41849118362
-
Algebraic signal processing theory: Foundation and 1-D time
-
accepted for publication
-
M. Püschel and J. M. F. Moura, "Algebraic signal processing theory: Foundation and 1-D time," IEEE Trans. Signal Process., accepted for publication.
-
IEEE Trans. Signal Process
-
-
Püschel, M.1
Moura, J.M.F.2
-
7
-
-
44449162315
-
Algebraic signal processing theory: 1-D space
-
accepted for publication
-
M. Püschel and J. M. F. Moura, "Algebraic signal processing theory: 1-D space," in IEEE Trans. Signal Process., accepted for publication.
-
IEEE Trans. Signal Process
-
-
Püschel, M.1
Moura, J.M.F.2
-
9
-
-
0141473171
-
The algebraic approach to the discrete cosine and sine transforms and their fast algorithms
-
M. Püschel and J. M. F. Moura, "The algebraic approach to the discrete cosine and sine transforms and their fast algorithms," SIAM J. Comput., vol. 32, no. 5, pp. 1280-1316, 2003.
-
(2003)
SIAM J. Comput
, vol.32
, Issue.5
, pp. 1280-1316
-
-
Püschel, M.1
Moura, J.M.F.2
-
10
-
-
0141565306
-
Cooley-Tukey FFT like algorithms for the DCT
-
M. Püschel, "Cooley-Tukey FFT like algorithms for the DCT," in Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), 2003, vol. 2, pp. 501-504.
-
(2003)
Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP)
, vol.2
, pp. 501-504
-
-
Püschel, M.1
-
11
-
-
33947687641
-
Algebraic derivation of general radix Cooley-Tukey algorithms for the real discrete Fourier transform
-
Y. Voronenko and M. Püschel, "Algebraic derivation of general radix Cooley-Tukey algorithms for the real discrete Fourier transform," in Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), 2006, vol. 3, pp. 876-879.
-
(2006)
Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP)
, vol.3
, pp. 876-879
-
-
Voronenko, Y.1
Püschel, M.2
-
12
-
-
41849150692
-
Algebraic signal processing theory: Cooley-Tukey type algorithms on the 2-D hexagonal spatial lattice, Applicable Algebra in Engineering, Communication and Computing (Special Issue in the Memory of Thomas Beth)
-
to be published
-
M. Püschel and M. Rötteler, "Algebraic signal processing theory: Cooley-Tukey type algorithms on the 2-D hexagonal spatial lattice," Applicable Algebra in Engineering, Communication and Computing (Special Issue in the Memory of Thomas Beth), to be published.
-
-
-
Püschel, M.1
Rötteler, M.2
-
13
-
-
34249026299
-
Algebraic signal processing theory: 2-D hexagonal spatial lattice
-
M. Püschel and M. Rötteler, "Algebraic signal processing theory: 2-D hexagonal spatial lattice," IEEE Trans. Image Process., vol. 16, no. 6, pp. 1506-1521, 2007.
-
(2007)
IEEE Trans. Image Process
, vol.16
, Issue.6
, pp. 1506-1521
-
-
Püschel, M.1
Rötteler, M.2
-
14
-
-
0017538003
-
A fast computational algorithm for the discrete cosine transform
-
Sep
-
W. H. Chen, C. H. Smith, and S. C. Fralick, "A fast computational algorithm for the discrete cosine transform," IEEE Trans. Commun. vol. COM-25, no. 9, pp. 1004-1009, Sep. 1977.
-
(1977)
IEEE Trans. Commun
, vol.COM-25
, Issue.9
, pp. 1004-1009
-
-
Chen, W.H.1
Smith, C.H.2
Fralick, S.C.3
-
15
-
-
0022201069
-
Prime factor decomposition of the discrete cosine transform
-
P. P. N. Yang and M. J. Narasimha, "Prime factor decomposition of the discrete cosine transform," in Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), 1985, pp. 772-775.
-
(1985)
Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP)
, pp. 772-775
-
-
Yang, P.P.N.1
Narasimha, M.J.2
-
16
-
-
0023244560
-
-
[i#n algorithms suitable for VLSI implementations, in Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), 1987, pp. 1805-1808.
-
[i#n algorithms suitable for VLSI implementations," in Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), 1987, pp. 1805-1808.
-
-
-
-
18
-
-
0001804165
-
Abelian semi-simple algebras and algorithms for the discrete Fourier transform
-
L. Auslander, E. Feig, and S. Winograd, "Abelian semi-simple algebras and algorithms for the discrete Fourier transform," Adv. Appl. Math. vol. 5, pp. 31-55, 1984.
-
(1984)
Adv. Appl. Math
, vol.5
, pp. 31-55
-
-
Auslander, L.1
Feig, E.2
Winograd, S.3
-
19
-
-
33750398429
-
Algebraic theory of finite Fourier transforms
-
P. J. Nicholson, "Algebraic theory of finite Fourier transforms," J. Comput. Syst. Sci., vol. 5, no. 5, pp. 524-547, 1971.
-
(1971)
J. Comput. Syst. Sci
, vol.5
, Issue.5
, pp. 524-547
-
-
Nicholson, P.J.1
-
20
-
-
0004171174
-
Verfahren der Schnellen Fouriertransformation Transl
-
Wiesbaden, Germany: Teubner
-
T. Beth, Verfahren der Schnellen Fouriertransformation Transl.: Methods for the Fast Fourier Transform. Wiesbaden, Germany: Teubner, 1984.
-
(1984)
Methods for the Fast Fourier Transform
-
-
Beth, T.1
-
21
-
-
41449119182
-
On the multiplicative complexity of the discrete Fourier transform
-
S. Winograd, "On the multiplicative complexity of the discrete Fourier transform," Adv. Math., vol. 32, pp. 83-117, 1979.
-
(1979)
Adv. Math
, vol.32
, pp. 83-117
-
-
Winograd, S.1
-
22
-
-
30244507696
-
The multiplicative complexity of the discrete Fourier transform
-
L. Auslander, E. Feig, and S. Winograd, "The multiplicative complexity of the discrete Fourier transform," Adv. Appl. Math., vol. 5, pp. 87-109, 1984.
-
(1984)
Adv. Appl. Math
, vol.5
, pp. 87-109
-
-
Auslander, L.1
Feig, E.2
Winograd, S.3
-
23
-
-
0022012399
-
On the structure of efficient DFT algorithms
-
Feb
-
H. W. Johnson and C. S. Burrus, "On the structure of efficient DFT algorithms," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-33, no. 1, pp. 248-254, Feb. 1985.
-
(1985)
IEEE Trans. Acoust., Speech, Signal Process
, vol.ASSP-33
, Issue.1
, pp. 248-254
-
-
Johnson, H.W.1
Burrus, C.S.2
-
24
-
-
0022667883
-
[i#n DFT
-
Feb
-
[i#n DFT," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-34, no. 1, pp. 91-95, Feb. 1986.
-
(1986)
IEEE Trans. Acoust., Speech, Signal Process
, vol.ASSP-34
, Issue.1
, pp. 91-95
-
-
Heideman, M.T.1
Burrus, C.S.2
-
27
-
-
84966222128
-
A polynomial approach to fast algorithms for discrete Fourier-cosine and Fourier-sine transforms
-
G. Steidl and M. Tasche, "A polynomial approach to fast algorithms for discrete Fourier-cosine and Fourier-sine transforms," Math. Comput. vol. 56, no. 193, pp. 281-296, 1991.
-
(1991)
Math. Comput
, vol.56
, Issue.193
, pp. 281-296
-
-
Steidl, G.1
Tasche, M.2
-
28
-
-
0039928421
-
Fast radix-p discrete cosine transform
-
G. Steidl, "Fast radix-p discrete cosine transform," Applicable Alg. Eng., Commun. Comput., vol. 3, no. 1, pp. 39-46, 1992.
-
(1992)
Applicable Alg. Eng., Commun. Comput
, vol.3
, Issue.1
, pp. 39-46
-
-
Steidl, G.1
-
29
-
-
0002373674
-
The discrete W transform
-
Z. Wang and B. R. Hunt, "The discrete W transform," Appl. Math. Comput., vol. 16, pp. 19-48, 1985.
-
(1985)
Appl. Math. Comput
, vol.16
, pp. 19-48
-
-
Wang, Z.1
Hunt, B.R.2
-
30
-
-
0033353815
-
The fast generalized discrete Fourier transforms: A unified approach to the discrete sinusoidal transforms computation
-
V. Britanak and K. R. Rao, "The fast generalized discrete Fourier transforms: A unified approach to the discrete sinusoidal transforms computation," Signal Process., vol. 79, pp. 135-150, 1999.
-
(1999)
Signal Process
, vol.79
, pp. 135-150
-
-
Britanak, V.1
Rao, K.R.2
-
32
-
-
38249021225
-
Fast Fourier analysis for Abelian group extensions
-
D. Rockmore, "Fast Fourier analysis for Abelian group extensions," Adv. Appl. Math., vol. 11, pp. 164-204, 1990.
-
(1990)
Adv. Appl. Math
, vol.11
, pp. 164-204
-
-
Rockmore, D.1
-
34
-
-
0035446682
-
Automatic generation of fast discrete signal transforms
-
Sep
-
S. Egner and M. Püschel, "Automatic generation of fast discrete signal transforms," IEEE Trans. Signal Process., vol. 49, no. 9, pp. 1992-2002, Sep. 2001.
-
(2001)
IEEE Trans. Signal Process
, vol.49
, Issue.9
, pp. 1992-2002
-
-
Egner, S.1
Püschel, M.2
-
35
-
-
0036899226
-
Decomposing monomial representations of solvable groups
-
M. Püschel, "Decomposing monomial representations of solvable groups," J. Symb. Comput., vol. 34, no. 6, pp. 561-596, 2002.
-
(2002)
J. Symb. Comput
, vol.34
, Issue.6
, pp. 561-596
-
-
Püschel, M.1
-
36
-
-
17044376282
-
Cooley-Tukey FFT like fast algorithms for the discrete triangle transform
-
M. Püschel and M. Rötteler, "Cooley-Tukey FFT like fast algorithms for the discrete triangle transform," in Proc. 11th IEEE DSP Workshop, 2004, pp. 158-162.
-
(2004)
Proc. 11th IEEE DSP Workshop
, pp. 158-162
-
-
Püschel, M.1
Rötteler, M.2
-
37
-
-
4544220738
-
The discrete triangle transform
-
M. Püschel and M. Rötteler, "The discrete triangle transform," in Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), 2004, vol. 3, pp. 45-48.
-
(2004)
Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP)
, vol.3
, pp. 45-48
-
-
Püschel, M.1
Rötteler, M.2
-
38
-
-
0019006973
-
A symmetric cosine transform
-
Apr
-
H. Kitajima, "A symmetric cosine transform," IEEE Trans. Comput. vol. C-29, no. 4, pp. 317-323, Apr. 1980.
-
(1980)
IEEE Trans. Comput
, vol.C-29
, Issue.4
, pp. 317-323
-
-
Kitajima, H.1
-
39
-
-
0018983854
-
A fast computational algorithm for the discrete sine transform
-
Feb
-
P. Yip and K. R. Rao, "A fast computational algorithm for the discrete sine transform," IEEE Trans. Commun., vol. COM-28, no. 2, pp. 304-307, Feb. 1980.
-
(1980)
IEEE Trans. Commun
, vol.COM-28
, Issue.2
, pp. 304-307
-
-
Yip, P.1
Rao, K.R.2
-
40
-
-
0021473509
-
Fast algorithms for the discrete W transform and for the discrete Fourier transform
-
Aug
-
Z. Wang, "Fast algorithms for the discrete W transform and for the discrete Fourier transform," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-32, no. 4, pp. 803-816, Aug. 1984.
-
(1984)
IEEE Trans. Acoust., Speech, Signal Process
, vol.ASSP-32
, Issue.4
, pp. 803-816
-
-
Wang, Z.1
-
41
-
-
0021590583
-
Fast decimation-in-time algorithms for a family of discrete sine and cosine transforms
-
P. Yip and K. R. Rao, "Fast decimation-in-time algorithms for a family of discrete sine and cosine transforms," Circuits, Syst., Signal Process., vol. 3, no. 4, pp. 387-408, 1984.
-
(1984)
Circuits, Syst., Signal Process
, vol.3
, Issue.4
, pp. 387-408
-
-
Yip, P.1
Rao, K.R.2
-
42
-
-
0023854642
-
The decimation-in-frequency algorithms for a family of discrete sine and cosine transforms
-
P. Yip and K. R. Rao, "The decimation-in-frequency algorithms for a family of discrete sine and cosine transforms," Circuits, Syst., Signal Process., vol. 7, no. 1, pp. 3-19, 1988.
-
(1988)
Circuits, Syst., Signal Process
, vol.7
, Issue.1
, pp. 3-19
-
-
Yip, P.1
Rao, K.R.2
-
43
-
-
0025530239
-
Direct methods for computing discrete sinusoidal transforms
-
S. C. Chan and K. L. Ho, "Direct methods for computing discrete sinusoidal transforms," in Proc. Inst. Elect. Eng., 1990, vol. 137, no. 6, pp. 433-442.
-
(1990)
Proc. Inst. Elect. Eng
, vol.137
, Issue.6
, pp. 433-442
-
-
Chan, S.C.1
Ho, K.L.2
-
44
-
-
41849129859
-
-
Kent State University. Kent, OH, Tech. Rep. ICM-199802-0001
-
M. O. Rayes, V. Trevisan, and P. S. Wang, "Factorization of Chebyshev polynomials," Kent State University. Kent, OH, 1998, Tech. Rep. ICM-199802-0001.
-
(1998)
Factorization of Chebyshev polynomials
-
-
Rayes, M.O.1
Trevisan, V.2
Wang, P.S.3
-
45
-
-
41849115192
-
-
4th ed. Providence, RI: Amer. Math. Soc. Colloq. Publ
-
G. Szegö, Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc. Colloq. Publ., 1992.
-
(1992)
Orthogonal Polynomials
-
-
Szegö, G.1
-
46
-
-
0026692462
-
Computation of an odd-length DCT from a real-valued DFT of the same length
-
Jan
-
M. T. Heideman, "Computation of an odd-length DCT from a real-valued DFT of the same length," IEEE Trans. Signal Process., vol. 40, no. 1, pp. 54-61, Jan. 1992.
-
(1992)
IEEE Trans. Signal Process
, vol.40
, Issue.1
, pp. 54-61
-
-
Heideman, M.T.1
-
47
-
-
0026157017
-
Pruning the fast discrete cosine transform
-
May
-
Z. Wang, "Pruning the fast discrete cosine transform," IEEE Trans. Commun., vol. 39, no. 5, pp. 640-643, May 1991.
-
(1991)
IEEE Trans. Commun
, vol.39
, Issue.5
, pp. 640-643
-
-
Wang, Z.1
-
48
-
-
41849124826
-
Type-II/II DCT/DST algorithms with reduced number of arithmetic operations
-
submitted for publication
-
X. Shao and S. Johnson, "Type-II/II DCT/DST algorithms with reduced number of arithmetic operations," submitted for publication.
-
-
-
Shao, X.1
Johnson, S.2
-
49
-
-
0022674146
-
A fast algorithm for the cosine transform based on successive order reduction of the Chebyshev polynomial
-
Y. Morikawa, H. Hamada, and N. Yamane, "A fast algorithm for the cosine transform based on successive order reduction of the Chebyshev polynomial," Electron. Commun. Jpn., Pt. 1, vol. 69, no. 3, pp. 173-180, 1986.
-
(1986)
Electron. Commun. Jpn., Pt. 1
, vol.69
, Issue.3
, pp. 173-180
-
-
Morikawa, Y.1
Hamada, H.2
Yamane, N.3
-
50
-
-
84943728327
-
A fast recursive algorithm for computing the discrete cosine transform
-
Oct
-
H. S. Hou, "A fast recursive algorithm for computing the discrete cosine transform," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-35, no. 10, pp. 1455-1461, Oct. 1987.
-
(1987)
IEEE Trans. Acoust., Speech, Signal Process
, vol.ASSP-35
, Issue.10
, pp. 1455-1461
-
-
Hou, H.S.1
-
51
-
-
0027694166
-
Mixed-radix discrete cosine transform
-
Nov
-
Y. H. Chan and W. C. Siu, "Mixed-radix discrete cosine transform," IEEE Trans. Signal Process., vol. 41, no. 11, pp. 3157-3161, Nov. 1993.
-
(1993)
IEEE Trans. Signal Process
, vol.41
, Issue.11
, pp. 3157-3161
-
-
Chan, Y.H.1
Siu, W.C.2
-
52
-
-
0032025751
-
DCT algorithms for composite sequence lengths
-
Mar
-
G. Bi and L. W. Yu, "DCT algorithms for composite sequence lengths," IEEE Trans. Signal Process., vol. 46, no. 3, pp. 554-562, Mar. 1998.
-
(1998)
IEEE Trans. Signal Process
, vol.46
, Issue.3
, pp. 554-562
-
-
Bi, G.1
Yu, L.W.2
-
53
-
-
0025385120
-
Fast discrete sine transform algorithms
-
Z. Wang, "Fast discrete sine transform algorithms," Signal Process. vol. 19, pp. 91-102, 1990.
-
(1990)
Signal Process
, vol.19
, pp. 91-102
-
-
Wang, Z.1
-
54
-
-
0021619710
-
A new algorithm to compute the discrete cosine transform
-
Dec
-
B. G. Lee, "A new algorithm to compute the discrete cosine transform," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-32, no. 6, pp. 1243-1245, Dec. 1984.
-
(1984)
IEEE Trans. Acoust., Speech, Signal Process
, vol.ASSP-32
, Issue.6
, pp. 1243-1245
-
-
Lee, B.G.1
|