DocumentCode
1506265
Title
Normal bases expansion of the discrete cosine transform
Author
Yang, Ming-Chwen ; WU, JA-LING ; Huang, Yuh-Ming
Author_Institution
Dept. of Inf. Eng., Nat. Taiwan Univ., Taipei, Taiwan
Volume
45
Issue
5
fYear
1997
fDate
5/1/1997 12:00:00 AM
Firstpage
1348
Lastpage
1350
Abstract
In this correspondence, we show that the discrete cosine transform (DCT) can be obtained by projecting the discrete Fourier transform from the extension field to the basefield. Applying the framework of projection operator, a fast fully recursive algorithm for computing the DCT is also presented
Keywords
convolution; discrete Fourier transforms; discrete cosine transforms; mathematical operators; recursive functions; DCT; basefield transform; convolution; discrete Fourier transform; discrete cosine transform; extension field; fast fully recursive algorithm; normal bases expansion; projection operator; Computer science; Data compression; Discrete Fourier transforms; Discrete cosine transforms; Discrete transforms; Equations; Fourier transforms; Standards development;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/78.575707
Filename
575707
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