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
fDate :
5/1/1997 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
