ACM Home Page
Please provide us with feedback. Feedback
Algorithm 749: fast discrete cosine transform
Full text PdfPdf (332 KB)
Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 21 ,  Issue 4  (December 1995) table of contents
Pages: 372 - 378  
Year of Publication: 1995
ISSN:0098-3500
Authors
Barry G. Sherlock  Parks College of Saint Louis Univ., Cahokia, IL
Donald M. Monro  Univ. of Bath, Bath, UK
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 27,   Downloads (12 Months): 238,   Citation Count: 1
Additional Information:

appendices and supplements   abstract   references   cited by   index terms   collaborative colleagues  

Tools and Actions: Request Permissions Request Permissions    Review this Article  
DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/212066.212071
What is a DOI?

APPENDICES and SUPPLEMENTS
gZip749.gz (6 KB)
Software for "Fast discrete cosine transform"


ABSTRACT

An in-place algorithm for the fast, direct computation of the forward and inverse discrete cosine transform is presented and evaluated. The transform length may be an arbitrary power of two.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
AHMED, N., NATARAJAN, T., AND RAO, K. R. 1974. Discrete cosine transform. IEEE Trans. Comput. C-23, i (Jan.), 90-93.
 
2
CHAN, S.-C. AND HO, K.-L. 1992. Fast algorithms for computing the discrete cosine transform. IEEE Trans. Circuzts Syst. H 39, 3 (Mar.), 185-190.
 
3
CttEN, W.-H., SMITH, C. H., AND FRALICK, S.C. 1977. A fast computational algorithm for the discrete cosine transform. IEEE Trans. Commun. COM-25, 9 (Sept.), 1004 1009.
 
4
CVETKOVIC, Z. AND POPOVIC, M.V. 1992. New fast recursive algorithms for the computation of discrete cosine and sine transforms. IEEE Trans. Signal Process. SP-40, 8 (Aug.), 2083-2086.
 
5
Hou, H. S. 1987. A fast recursive algorithm for computing the discrete cosine transform. IEEE Trans. Acoust. Speech S~gnal Process. ASSP-35, 10 (Oct.), 1455-1461.
 
6
LEE, B.G. 1984. A new algorithm to compute the discrete cosine transform. IEEE Trans. Acoust Speech Signal Process. ASSP-32, 6 (Dec.), 1243-1245.
 
7
LI, W. 1991. A new algorithm to compute the DCT and its inverse. IEEE Trans. Signal Process. 39, 6 (June), 1305-1313.
 
8
MAKHOUL, J. 1980. A fast cosine transform in one and two dimensions. IEEE Trans. Acoust. Speech S,gnal Proces,~. ASSP-28, 1 (Feb.), 27-34.
 
9
MALVAR, H. S. 1986. Fast computation of the discrete cosine transform through the fast Hartley transform. Elec. Lett. 27, (Mar.), 352-353.
 
10
MONRO, D.M. 1979. Interpolation by fast Fourier and Chebyshev transforms. Int. J. Num. Methods Eng. 14, 11, 1679-1692.
 
11
NARASmHA, M. J. AND PETERSON, A. M. 1978. On the computation of the discrete cosine transform. IEEE Trans. Commun. COM-26, 6 (June), 934-936.
 
12
 
13
SKODRAS, A. N. AND CHmSTOPOULOS, C.A. 1993. Split-radix fast cosine transform algorithm. Int. J. Elec. 74, 4 (Apr.), 513-522.
 
14
WANG, Z. 1984. Fast algorithms for the discrete W transform and for the discrete Fourier transform. IEEE Trans. Acoust. Speech S~gnal Process. ASSP-32, 4 (Aug.), 803-816.
 
15
YIP, P. AND RAO, K.R. 1988. The decimation-in-frequency algorithms for a family of discrete sine and cosine transforms. Circuits Syst. Signal Process. 7, 1, 3-19.


Collaborative Colleagues:
Barry G. Sherlock: colleagues
Donald M. Monro: colleagues