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|Title:||Mixed-radix discrete cosine transform|
|Authors:||Chan, YH |
|Source:||IEEE transactions on signal processing, Nov. 1993, v. 41, no. 11, p. 3157-3161 How to cite?|
|Journal:||IEEE transactions on signal processing|
|Abstract:||This note presents two new fast discrete cosine transform computation algorithm: a radix-3 and a radix-6 algorithm. These two new algorithms are superior to the conventional radix-2 algorithm as they i) require less computational complexity in terms of the number of multiplications per point, ii) provide a wider choice of the sequence length for which the DCT can be realized and, iii) support the prime factor-decomposed computation algorithm to realize the 2[sup m]3ⁿ-point DCT. Furthermore, a mixed-radix algorithm is also proposed such that an optimal performance can be achieved by applying the proposed radix-3 and radix-6 and the well-developed radix-2 decomposition techniques in a proper sequence.|
|Rights:||© 1993 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.|
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