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Discrete cosine transform
(section)
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==Further reading== <!-- these references are cited inline above, in Harvard (author, date) style because they pre-date the ref tag, but need to be converted to ref style --> * {{Cite journal | last1 = Narasimha | first1 = M. | last2 = Peterson | first2 = A. | doi = 10.1109/TCOM.1978.1094144 | title = On the Computation of the Discrete Cosine Transform | journal = IEEE Transactions on Communications | volume = 26 | issue = 6 | pages = 934β936| date=June 1978 }} * {{Cite journal | last1 = Makhoul | first1 = J. | doi = 10.1109/TASSP.1980.1163351 | title = A fast cosine transform in one and two dimensions | journal = IEEE Transactions on Acoustics, Speech, and Signal Processing | volume = 28 | issue = 1| pages = 27β34 | date=February 1980 }} * {{Cite journal | last1 = Sorensen | first1 = H. | last2 = Jones | first2 = D. | last3 = Heideman | first3 = M. | last4 = Burrus | first4 = C. | title = Real-valued fast Fourier transform algorithms | doi = 10.1109/TASSP.1987.1165220 | journal = IEEE Transactions on Acoustics, Speech, and Signal Processing | volume = 35 | issue = 6 | pages = 849β863| date=June 1987 | citeseerx = 10.1.1.205.4523 }} * {{Cite journal |last1=Plonka |first1=G. |author1-link= Gerlind Plonka |last2=Tasche|first2=M. |title=Fast and numerically stable algorithms for discrete cosine transforms |journal=Linear Algebra and Its Applications |volume=394 |issue=1 |pages=309β345 |date=January 2005 |doi=10.1016/j.laa.2004.07.015 |doi-access=free }} * {{Cite journal | last1 = Duhamel | first1 = P. | last2 = Vetterli | first2 = M. | doi = 10.1016/0165-1684(90)90158-U | title = Fast fourier transforms: A tutorial review and a state of the art | journal = Signal Processing | volume = 19 | issue = 4 | pages = 259β299| date=April 1990 | bibcode = 1990SigPr..19..259D | url = http://infoscience.epfl.ch/record/59946 | type = Submitted manuscript }} * {{Cite journal | last1 = Ahmed | first1 = N. | author-link1 = N. Ahmed| doi = 10.1016/1051-2004(91)90086-Z | title = How I came up with the discrete cosine transform | journal = Digital Signal Processing | volume = 1 | issue = 1| pages = 4β9 | date=January 1991 | bibcode = 1991DSP.....1....4A | url = https://www.scribd.com/doc/52879771/DCT-History-How-I-Came-Up-with-the-Discrete-Cosine-Transform}} * {{Cite journal | last1 = Feig | first1 = E. | last2 = Winograd | first2 = S. | doi = 10.1109/78.157218 | title = Fast algorithms for the discrete cosine transform | journal = IEEE Transactions on Signal Processing | volume = 40 | issue = 9 | pages = 2174β2193| date=September 1992b | bibcode = 1992ITSP...40.2174F }} * {{Citation |last1=Malvar |first1=Henrique |title=Signal Processing with Lapped Transforms |publisher=Artech House |location=Boston |year=1992 |isbn=978-0-89006-467-2}} * {{Cite journal | last1 = Martucci | first1 = S. A. | title = Symmetric convolution and the discrete sine and cosine transforms | doi = 10.1109/78.295213 | journal = IEEE Transactions on Signal Processing | volume = 42 | issue = 5 | pages = 1038β1051 | date=May 1994 | bibcode = 1994ITSP...42.1038M }} * {{Citation |last1=Oppenheim |first1=Alan |last2=Schafer |first2=Ronald |last3=Buck |first3=John |title=Discrete-Time Signal Processing |edition=2nd |publisher=Prentice Hall |location=Upper Saddle River, N.J |year=1999 |isbn=978-0-13-754920-7 |url-access=registration |url=https://archive.org/details/discretetimesign00alan }} * {{Cite journal | last1 = Frigo | first1 = M. | last2 = Johnson | first2 = S. G. | doi = 10.1109/JPROC.2004.840301 | title = The Design and Implementation of FFTW3 | journal = Proceedings of the IEEE | volume = 93 | issue = 2 | pages = 216β231| date=February 2005 | bibcode = 2005IEEEP..93..216F | url = http://fftw.org/fftw-paper-ieee.pdf| citeseerx = 10.1.1.66.3097 | s2cid = 6644892 }} * {{Cite journal | last1 = Boussakta | first1 = Said. | last2 = Alshibami | first2 = Hamoud O. | doi = 10.1109/TSP.2004.823472 | title = Fast Algorithm for the 3-D DCT-II | journal = IEEE Transactions on Signal Processing| volume = 52 | issue = 4 | pages = 992β1000| date=April 2004| bibcode = 2004ITSP...52..992B | s2cid = 3385296 | url = http://eprints.whiterose.ac.uk/708/1/boussaktas2.pdf }} * {{Cite journal | last1 = Cheng | first1 = L. Z.| last2 = Zeng | first2 = Y. H. | doi = 10.1109/TSP.2002.806558 | title = New fast algorithm for multidimensional type-IV DCT | journal = IEEE Transactions on Signal Processing| volume = 51 | issue = 1 | pages = 213β220| date=2003}} * {{Cite journal | last1 = Wen-Hsiung Chen | last2 = Smith | first2 = C. | last3 = Fralick | first3 = S. | doi = 10.1109/TCOM.1977.1093941 | title = A Fast Computational Algorithm for the Discrete Cosine Transform | journal = IEEE Transactions on Communications | volume = 25 | issue = 9 | pages = 1004β1009| date=September 1977 }} * {{Citation |last1=Press |first1=WH |last2=Teukolsky |first2=SA |last3=Vetterling |first3=WT |last4=Flannery |first4=BP |year=2007 |title=Numerical Recipes: The Art of Scientific Computing |edition=3rd |publisher=Cambridge University Press |location=New York |chapter=Section 12.4.2. Cosine Transform |chapter-url=http://apps.nrbook.com/empanel/index.html#pg=624 |isbn=978-0-521-88068-8 |ref=none |access-date=2011-08-13 |archive-date=2011-08-11 |archive-url=https://web.archive.org/web/20110811154417/http://apps.nrbook.com/empanel/index.html#pg=624 |url-status=dead }}
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