By Topic

A new two-dimensional fast cosine transform algorithm

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Chan, S.C. ; Dept. of Electr. & Electron. Eng., Hong Kong Univ., Hong Kong ; Ho, K.L.

The discrete cosine transform (2-D DCT) is based on a one-dimensional fast cosine transform (1-D FCT) algorithm. Instead of computing the 2-D transform using the row-column method, the 1-D algorithm is extended by means of the vector-radix approach. Derivation based on both the sequence splitting and Kronecker matrix product method are discussed. The sequence splitting approach has the advantage that all the underlying operations are shown clearly, while the matrix product representations are more compact and readily generalized to higher dimensions. The bit reversal operations are placed before the recursive additions so that the recursive operations can be performed in a very regular manner. This greatly simplifies the indexing problem in the software implementation of the algorithms. The vector-radix algorithm saves 25% multiplications as compared with the row-column method

Published in:

Signal Processing, IEEE Transactions on  (Volume:39 ,  Issue: 2 )